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  <front>
    <journal-meta><journal-id journal-id-type="publisher">MS</journal-id><journal-title-group>
    <journal-title>Mechanical Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">MS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Mech. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2191-916X</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/ms-14-179-2023</article-id><title-group><article-title>Surface quality improvement for 316L additive manufactured prototype
based on<?xmltex \hack{\break}?> magnetorheological polishing</article-title><alt-title>Surface quality improvement for 316L by using MRP​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{Surface quality improvement for 316L by using MRP​​​​​​​}?><?xmltex \runningauthor{N. She et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>She</surname><given-names>Na</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Gong</surname><given-names>Tao</given-names></name>
          <email>1014505802@qq.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Chen</surname><given-names>Bingsan</given-names></name>
          <email>bschen126@fjut.edu.cn</email>
        <ext-link>https://orcid.org/0000-0001-6723-9305</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lu</surname><given-names>Minrui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xu</surname><given-names>Yongchao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Peng</surname><given-names>Xiaodong</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Fujian Key Laboratory of Intelligent Machining Technology and Equipment,<?xmltex \hack{\break}?> Fujian University of Technology, Fuzhou, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Fujian Wuyi Leaf Tobacco Co., Ltd., Shaowu, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tao Gong (1014505802@qq.com) and Bingsan Chen (bschen126@fjut.edu.cn)</corresp></author-notes><pub-date><day>12</day><month>April</month><year>2023</year></pub-date>
      
      <volume>14</volume>
      <issue>1</issue>
      <fpage>179</fpage><lpage>191</lpage>
      <history>
        <date date-type="received"><day>6</day><month>December</month><year>2022</year></date>
           <date date-type="rev-recd"><day>16</day><month>February</month><year>2023</year></date>
           <date date-type="accepted"><day>14</day><month>March</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Na She et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023.html">This article is available from https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023.html</self-uri><self-uri xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023.pdf">The full text article is available as a PDF file from https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e136">Additive manufacturing has attracted increasing attention in recent years due to its flexibility and near-net shaping advantages.
Although recent advancements in metal additive manufacturing accuracy have
met the post-processing requirement for dimensional tolerance, the finishing post-processing of functional surfaces must be further investigated in conjunction with material characteristics. This research aims to investigate the use of a flexible process in the polishing of additive molding samples. As an example, the surface of a 316L stainless steel sample formed by powder
bed laser melting was polished using magnetorheological polishing
technology. Magnetic field simulation was used to create a longitudinally
staggered magnetorheological polishing tool. Surface roughness and residual
stress were studied with process parameters such as abrasive content,
magnetic particle content, machining gap, and spindle speed. Results show
that the polishing effect is better at 4 % and 40 % abrasive and
magnetic particles, respectively. The surface roughness Ra is 99 nm when the working gap is 0.6 mm, the surface roughness Ra value is the lowest when the spindle speed is 600 r min<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The surface roughness was reduced to 61.43 nm
after polishing the sample under improved processing conditions (4 %
abrasive, 40 % magnetic, 0.6 mm working clearance, 600 r min<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> spindle speed). A nano-scale smooth surface can be obtained by powder bed laser melting and magnetorheological polishing of 316L stainless steel.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Science Foundation of Fujian Province</funding-source>
<award-id>2020J01874</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>52275413</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e172">Additive manufacturing (AM) technologies have attracted increased research
attention and experienced rapid development in the past 20 years (Aboulkhair
et al., 2019; Herzog et al., 2016; Li et al., 2019; Malaga et al., 2022). 316L stainless steel is one of the most commonly used alloys in biomedical
applications, including surgical instruments, orthopedic implants, fixed
devices, orthodontics, and pharmaceutical equipment. The wide application of
stainless steel can be attributed to its reasonable cost, easy manufacture,
biocompatibility, sufficient mechanical strength, and corrosion resistance
(Lodhi et al., 2019; Roland et al., 2006). Among various AM technologies,
typical laser powder bed fusion (L-PBF; also known as selective laser
melting) is used as an example (Yadroitsev et al., 2007). L-PBF parts are
comparable with or even better than conventional cast or forged parts in
terms of certain mechanical properties (e.g., tensile strength, yield
strength, elongation, hardness) (Atabay et al., 2020; Chlebus et
al., 2011); however, microcracking slagging, powder adhesion, and
periodization occur during the part manufacturing process. The surface
roughness (Ra) of the parts is large, causing the degradation of the
mechanical properties and surface roughness of additive manufactured 316L
parts (Nafar Dastgerdi et al., 2022; Sanaei and Fatemi, 2020). The surface of the part is
rough, usually greater than 100 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, which is difficult to directly meet the application requirements. For example, in biomedicine, the surface
should be smooth and non-abrasive, the Ra value should be no more than 0.1 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, and the surface should be free of oxide, cracks, depressions,
front edge, speculation, and other defects and free of mosaicism. At
present, the surface treatment process<?pagebreak page180?> of L-PBF molding parts mainly
includes machining, chemical polishing, laser polishing, and heat treatment
(Mariani et al., 2021; Souza et al., 2021; Bezuidenhout et al., 2020). Bagehorn et al. (2017) machined Ti-6Al-4V parts manufactured by additive
manufacturing, and the roughness was reduced to 1 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Neda et al. (2017) combined chemical polishing and abrasive polishing for surface
finish control of additive manufactured Inconel 625 parts, and the surface
roughness was reduced from 17.4 to 14.2 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Chen et
al. (2021) investigated the effect of laser polishing on the organization and
mechanical properties of 316L stainless steel prepared by laser powder bed
fusion (Sa <inline-formula><mml:math id="M7" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.65 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m); the surface roughness of 316L (Sa <inline-formula><mml:math id="M9" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.84 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) was significantly reduced. Existing surface polishing techniques
can cause sub-surface damage, high residual stresses, and other problems, and
the surface roughness is still insufficient for scenario-specific
applications.</p>
      <p id="d1e238">In the field of non-traditional polishing, magnetorheological polishing (MRP)
is based on the special rheological properties of MR fluid (Sidpara et
al., 2009; Ashtiani et al., 2015; Chen et al., 2022), which is prepared by
adding polishing abrasives (such as diamond, boron oxide, alumina, and cerium
oxide) to MR fluid (Nagdeve et al., 2018); by applying a certain magnetic
field, the polishing fluid rapidly changes from Newton fluid to Bingham
plastic fluid in milliseconds. The shear stress increases rapidly, forming a
polishing band or pad, and the abrasive grains achieve polishing by
scratching and plowing the surface of the workpiece. Flexible MRP has the
characteristics of high accuracy of processed surface shape, small surface
roughness, easy control of the process, and low surface damage (Li et
al., 2016; Wan et al., 2021; Yadav and Singh, 2019). MRP technology has been
widely studied. Xu et al. (2021) improved the surface accuracy of tungsten
alloy aspheric dies to less than 200 nm and reduced the surface roughness Ra
to about 1 nm by combining ultra-precision grinding and oblique axis MRP
techniques. Ghosh et al. (2021) used a wheel-type MRP process with a working
gap of 2 mm, grinding wheel speed of 320 rpm, and feed rate of 11 mm min<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; the surface roughness of 15.5 nm was achieved on oxygen-free high-conductivity (OFHC) copper. Barman and Das (2018) carried out nano-polishing of biological
titanium alloys by preparing magnetorheological fluid with different
components. The surface roughness Ra was reduced to 10 and 70 nm, and the
wear resistance and service life of the polished parts were improved.</p>
      <p id="d1e253">The existing theoretical system of MRP is mainly for hard and brittle
non-metallic materials, and the metal materials are mainly concentrated in
traditional castings or forgings; in particular, the polishing theoretical
system of additive metal parts needs to be explored. In this research, the
MRP tool is designed, and the magnetic circuit is simulated and analyzed for
L-PBF formation of 316L stainless steel samples. The effect of MRP process
parameters (abrasive content, magnetic particle content, working gap, and
polishing speed) on the surface roughness of L-PBF-formed 316L stainless
steel samples is investigated, and high-quality polishing of the samples is
accomplished.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>MRP principle and magnetic field simulation of polishing tool</title>
      <p id="d1e264">The principle of MRP is depicted in Fig. 1a. The cylindrical and axial
magnetized permanent magnet is fixed on the machining spindle, and the
sample is fixed under the permanent magnet by a fixture. The MRP fluid is in
the machining gap between the permanent magnet and the sample. The permanent
magnet pole is combined according to a certain rule, and magnetic field is
generated to make the polishing fluid form a flexible polishing pad. In
magnetorheological processing, the polishing solution is a mixture of
magnetic particles (hydroxyl iron powder) and non-magnetic liquids, such as
silicone oil and corundum abrasive particles. When the magnetic field is not
applied to the polishing solution, the magnetic particles and abrasive
particles are randomly dispersed. When the magnetic field is applied, the
magnetic particles of the polishing fluid are arranged along the magnetic
induction line to form a magnetic chain, and the abrasive particles are
clamped by the chain structure. When the polishing pad moves with the
sample, the abrasive particles remove the material on the sample surface, as
depicted in Fig. 1b.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e269">Principle of magnetorheological processing.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f01.png"/>

      </fig>

      <p id="d1e278">In the MRP process, the gradient magnetic field greatly affects the strength
and shape of the magnetic chain during polishing and then affects the
surface roughness of the sample after processing. Magnetic pole distribution
is the main factor affecting the gradient magnetic field distribution.
Therefore, appropriate magnetic pole arrangement for MRP should be selected.
Four N30 cylindrical Nd-Fe-B permanent magnets with the size of <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="normal">Φ</mml:mi></mml:math></inline-formula>10 mm <inline-formula><mml:math id="M13" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 mm are selected for combined superposition, the magnetic poles are arranged, and the magnetic field is simulated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e298">Cloud chart of scalar magnetic induction intensity with different
magnetic pole spacing under natural arrangement.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f02.png"/>

      </fig>

      <p id="d1e307">Under the natural arrangement of magnetic poles, different magnetic pole
spacings are used for simulation: 0.5, 1.0, and 1.5 mm. The scalar magnetic
induction intensity program with different magnetic pole spacing is shown in
Fig. 2.</p>
      <?pagebreak page181?><p id="d1e310"><?xmltex \hack{\newpage}?>Figure 2a shows a program with magnetic pole spacing of 0.5 mm. There are
four peaks with small areas and strong intensity in the central area. The
maximum magnetic induction intensity is 0.938 T, which affects the overall
uniformity of intensity. The magnetic induction intensity of most areas is
greater than 0.4 T, and the color of the edge area is relatively uniform
but the intensity is less than 0.714 T. Figure 2b shows the cloud chart
with a magnetic pole spacing of 1.0 mm. The area of the central magnetic
induction intensity greater than 0.4 T has increased, and the four peaks
have decreased. The maximum magnetic induction intensity is 0.863 T, and the
edge area intensity is less than 0.714 T. Figure 2c shows a cloud chart
with a spacing of 1.5 mm. The central area further increases, and the peak
value decreases. The maximum magnetic induction intensity is 0.739 T, and the intensity of the edge area is less than 0.714 T. With increase in spacing, the intensity in the edge area remains unchanged, the central area gradually increases, and the four peaks gradually decrease, leading to more uniform magnetic induction intensity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e316">Vector/scalar magnetic induction intensity cloud chart under the
different arrangement of magnetic poles.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f03.jpg"/>

      </fig>

      <p id="d1e325">The distance between magnetic poles is 1.5 mm. The magnetic pole is
simulated in four forms: natural arrangement, omnidirectional arrangement,
and staggered arrangement. The vector magnetic induction intensity program
and the scalar magnetic induction intensity program of the surface to be
machined (working gap of 0.2 mm) can be obtained by simulation in Fig. 3.</p>
      <p id="d1e329">As depicted in the vector cloud image in Fig. 3a, the naturally arranged
magnetic field lines form a closed loop between the anisotropic magnetic
poles. The magnetic field lines converge in the central region of the
magnetic pole and are evenly distributed. In the edge region, the magnetic
field lines extend and diverge to infinity, and the magnetic field lines are
sparse in the region. The magnetic induction intensity cloud map of the
surface to be processed (working gap of 0.2 mm) shows four peaks, and the
maximum magnetic induction intensity is 0.863 T. Although a peak is present,
the overall strength is relatively uniform, which is beneficial to the
uniform adhesion of the polishing liquid to the surface to be processed.
Figure 3b shows the vector cloud image, wherein the omnidirectional
magnetic field line does not form a closed loop between homogeneous magnetic
poles and the color of the central region is not uniform. In the edge
region, the magnetic field line diverges and is densely arranged. The
magnetic induction intensity cloud map of the surface to be processed
(working gap of 0.2 mm) shows four “arc peaks” in the edge area, the maximum
magnetic induction intensity is 0.531 T, and the magnetic induction
intensity in the center is less than 0.3 T. Under this arrangement, the
polishing liquid easily agglomerates in the edge area, which affects the
uniformity of polishing. As depicted in the vector cloud image in Fig. 3c, the longitudinal staggered arrangement of magnetic field lines forms a
closed loop between the anisotropic magnetic poles. The magnetic field lines
converge in the central region of the magnetic pole and are evenly
distributed. In the edge region, the magnetic field lines extend and diverge
to infinity, and the magnetic field lines are sparse in this region. The
magnetic induction intensity cloud map of the surface (working gap of 0.2 mm)
shows two peaks, and the maximum magnetic induction intensity is 0.987 T,
indicating reduced uniformity.</p>
      <p id="d1e332">In summary, magnetic poles with natural arrangement are well arranged. Under
this condition, the magnetic field distribution is uniform and the magnetic
induction intensity is high.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Experimental details</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Experimental device</title>
      <p id="d1e350">The polishing experimental device is depicted in Fig. 4, including polishing
tools and sample fixtures. The polishing tool is mounted with an axially
magnetized permanent magnet and installed on the spindle of the
high-precision controlled three-axis linkage CNC machine tool, which can
realize linear motion and rotational motion. The spindle rotation can drive
the rotation of the permanent magnet, thereby driving the rotation of the
polishing pad. The sample is clamped<?pagebreak page182?> on the pliers, and the polishing
pressure of the MRP pad on the polishing area is changed by adjusting the
gap between the polishing tool and the sample.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e355">MR polishing device.</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f04.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>316L stainless steel sample formed by L-PBF</title>
      <p id="d1e372">In this study, 316L metal cube samples formed by L-PBF are used as polishing
objects. Spherical 316L stainless steel powder (Beijing Yijia 3D Co., Ltd.)
is used as the experimental material (Fig. 5). The composition is depicted
in <?xmltex \hack{\mbox\bgroup}?>Table<?xmltex \hack{\egroup}?> 1, and the particle size distribution is depicted in Table 2. The
equipment adopts SLM-125 laser selective melting equipment (Fig. 5), the
equipment adopts a single laser (1 <inline-formula><mml:math id="M14" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 400 W) IPG fiber laser, the
maximum molding size is 125 mm <inline-formula><mml:math id="M15" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 125 mm <inline-formula><mml:math id="M16" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 125 mm, the
maximum scanning speed is 10 m s<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the layer thickness is 0.02–0.075 mm, and the molding room uses argon as protective gas. The forming process parameters are shown in Table 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e415">SLM-125HL laser selective melting equipment and 316L powder.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f05.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e427">Composition of 316L stainless steel powder (wt %).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.89}[.89]?><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">C</oasis:entry>
         <oasis:entry colname="col2">Si</oasis:entry>
         <oasis:entry colname="col3">Mn</oasis:entry>
         <oasis:entry colname="col4">S</oasis:entry>
         <oasis:entry colname="col5">P</oasis:entry>
         <oasis:entry colname="col6">Cr</oasis:entry>
         <oasis:entry colname="col7">Ni</oasis:entry>
         <oasis:entry colname="col8">Mo</oasis:entry>
         <oasis:entry colname="col9">Fe</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0.043</oasis:entry>
         <oasis:entry colname="col2">0.73</oasis:entry>
         <oasis:entry colname="col3">1.45</oasis:entry>
         <oasis:entry colname="col4">0.02</oasis:entry>
         <oasis:entry colname="col5">0.004</oasis:entry>
         <oasis:entry colname="col6">16.8</oasis:entry>
         <oasis:entry colname="col7">12.6</oasis:entry>
         <oasis:entry colname="col8">2.6</oasis:entry>
         <oasis:entry colname="col9">margin</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e527">Particle size distribution and tap density of 316L stainless steel
powder.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Particle size range</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Tap density</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col5">(g cm<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">15–53</oasis:entry>
         <oasis:entry colname="col2">22.6</oasis:entry>
         <oasis:entry colname="col3">35.3</oasis:entry>
         <oasis:entry colname="col4">54.8</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e680">Selective laser melting process parameters of 316L stainless steel.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Laser</oasis:entry>
         <oasis:entry colname="col2">Scanning</oasis:entry>
         <oasis:entry colname="col3">Scanning</oasis:entry>
         <oasis:entry colname="col4">Section</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">power</oasis:entry>
         <oasis:entry colname="col2">speed</oasis:entry>
         <oasis:entry colname="col3">interval</oasis:entry>
         <oasis:entry colname="col4">thickness</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(W)</oasis:entry>
         <oasis:entry colname="col2">(mm s<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(mm)</oasis:entry>
         <oasis:entry colname="col4">(mm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">275</oasis:entry>
         <oasis:entry colname="col2">700</oasis:entry>
         <oasis:entry colname="col3">0.12</oasis:entry>
         <oasis:entry colname="col4">0.05</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{3}?></table-wrap>

      <?pagebreak page183?><p id="d1e775">Figure 6a shows the polished sample of 316L stainless steel formed by
L-PBF. The sample size is designed to be 30 mm <inline-formula><mml:math id="M27" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 mm <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 35 mm hollow pentahedron, and the original surface roughness Ra is 5–15 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Figure 6b shows the surface micro-morphology of L-PBF-formed 316L
stainless steel polishing sample. Adhesion and spheroidization of powder are
evident on the surface, and argon is used as the protective gas in the
molding chamber. Therefore, gas flow in the cabin drives the surrounding
powder to cause the adhesion of the powder on the surface. Powder
spheroidization occurs due to the molten liquid scattered on both sides of
the molten pool after cooling and solidification. Spheroidization will lead
to irregular shapes along the scanning trajectory, so the weld gap will
occur repeatedly, thereby affecting the surface quality of the sample.
Before the experiment, the sample is roughly cast to about 1.7 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m in the grinder.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e810">316L Molding sample and microstructure: <bold>(a)</bold> sample and <bold>(b)</bold> micromorphology.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Experiment parameters</title>
      <p id="d1e833">In the MRP process of the L-PBF-formed 316L stainless steel polishing
sample, MRP fluid and process parameters are the main influencing factors.
The primary variables affecting polishing quality and efficiency are
abrasive particle size and hardness. Diamond, SiC, Al<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and other
polishing materials are frequently utilized. Table 4 displays the abrasive
particle performance. Al<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> powder is chosen as the abrasive
particle of the slurry for 316L stainless steel that SLM has manufactured.
Al<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> powder with a particle size of 3.0–4.0 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m is chosen to complement iron powder because carbonyl iron powder has a particle size of 3.0–4.0 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (Nagdeve et al., 2018).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e910">Performance correlation of abrasive particles.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Abrasion particle</oasis:entry>
         <oasis:entry colname="col2">Moh's</oasis:entry>
         <oasis:entry colname="col3">Intensity</oasis:entry>
         <oasis:entry colname="col4">Melting</oasis:entry>
         <oasis:entry colname="col5">Thermal</oasis:entry>
         <oasis:entry colname="col6">Abrasion</oasis:entry>
         <oasis:entry colname="col7">Cost</oasis:entry>
         <oasis:entry colname="col8">Processing objects</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">type</oasis:entry>
         <oasis:entry colname="col2">hardness</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">point</oasis:entry>
         <oasis:entry colname="col5">stability</oasis:entry>
         <oasis:entry colname="col6">resistance</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Diamond</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">Great</oasis:entry>
         <oasis:entry colname="col4">3550<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Low</oasis:entry>
         <oasis:entry colname="col6">Great</oasis:entry>
         <oasis:entry colname="col7">High</oasis:entry>
         <oasis:entry colname="col8">Hard and brittle materials</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SiC</oasis:entry>
         <oasis:entry colname="col2">9.5</oasis:entry>
         <oasis:entry colname="col3">Great</oasis:entry>
         <oasis:entry colname="col4">2700<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Great</oasis:entry>
         <oasis:entry colname="col6">Good</oasis:entry>
         <oasis:entry colname="col7">Medium</oasis:entry>
         <oasis:entry colname="col8">Titanium alloy, glass</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Al<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">9.0–9.2</oasis:entry>
         <oasis:entry colname="col3">Good</oasis:entry>
         <oasis:entry colname="col4">2054<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Good</oasis:entry>
         <oasis:entry colname="col6">Good</oasis:entry>
         <oasis:entry colname="col7">Low</oasis:entry>
         <oasis:entry colname="col8">Steel alloys</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{4}?></table-wrap>

      <p id="d1e1119">Four factors including polishing abrasive particle content, magnetic
particle content, working gap, and spindle speed are selected to carry out
single-factor experiments. The factor level data are depicted in Table 5.
After polishing, the surface roughness of the sample was measured by
Mahr-XR20 roughness meter, and the average value of three measurement points
was taken as surface roughness Ra to evaluate the polishing effect. The
surface morphology of the sample was observed by a white light
interferometer.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e1126">Parameter table of experimental factors.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.89}[.89]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Factor</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Horizontal </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Polishing abrasive particle content (% vol)</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Magnetic particle content (% vol)</oasis:entry>
         <oasis:entry colname="col2">35</oasis:entry>
         <oasis:entry colname="col3">40</oasis:entry>
         <oasis:entry colname="col4">45</oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Working clearance (mm)</oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3">0.4</oasis:entry>
         <oasis:entry colname="col4">0.6</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spindle speed (r min<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">200</oasis:entry>
         <oasis:entry colname="col3">400</oasis:entry>
         <oasis:entry colname="col4">600</oasis:entry>
         <oasis:entry colname="col5">800</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{5}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Experimental results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{Effect of Al${}_{{2}}$O${}_{{3}}$ abrasive content on surface roughness}?><title>Effect of Al<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> abrasive content on surface roughness</title>
      <p id="d1e1296">During MRP, magnetic particles can clamp polishing abrasive particles to
remove the material on the workpiece surface, and the content of polishing
abrasive particles will affect the polishing effect to a certain extent. MRP
fluid containing 3 % vol, 4 % vol, 5 % vol, and 6 % vol of brown corundum abrasive particles
(namely, Al<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was selected for single-factor polishing
experiments under the following conditions: polishing time of 30 min,
working gap of 0.4 mm, spindle speed of 600 r min<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and 45 % vol of iron
powder in the polishing fluid. Figure 7 shows the influence of the polishing
abrasive on the surface roughness and residual stress of the sample. With
increasing content of the polishing abrasive, the surface roughness first
decreases and then increases, and the maximum difference is 0.12 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m.
When the polishing abrasive is 4 % vol, the surface roughness Ra of the
sample reaches a low value of 0.18 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The residual stress increases from 41.16 to 71.2 MPa, and the overall broken line shows a slight
upward trend, indicating that the increase in abrasive content had little
effect on residual stress.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1347">Effect of different polishing abrasive contents on surface
roughness of the sample.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1359">Micro-patterns of samples with different polishing abrasive content.​​​​​​​</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f08.png"/>

        </fig>

      <p id="d1e1368">Figure 8 shows the polishing patterns of the workpiece observed by the white
light interferometer under different polishing abrasive contents. When the
content is 3 %, the number of abrasive particles involved in polishing is
small, the magnetic particles can better constrain the polishing abrasive
particles, and the surface roughness of the sample can reach 0.23 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m.
However, the sample plot has many weld defects and obvious plastic removal
traces because the polishing abrasive particles are less and the removal
amount of the abrasive particles on the overall material is also less; as
such, surface defects cannot be completely removed. When the contents are
5 % and 6 %, the surface processing quality is poor, and weld defects
and obvious plastic removal traces are found on the surface of the sample.
With increasing content of abrasive particles, the number of<?pagebreak page184?> abrasive
particles between magnetic particles increases, thereby affecting the
formation of flux linkage and weakening the magneto-rheological effect. The
abrasive particles involved in polishing are easy to escape the constraint,
lacking the effect of only magnetic particles on the extrusion of the
workpiece, and cannot effectively achieve the removal effect. The surface of
the sample has many weld defects. When the abrasive content is 4 %, the
surface quality is the best and the sample surface is flat and smooth with
fewer defects.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page185?><sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Effect of magnetic particle content on surface roughness</title>
      <p id="d1e1388">The magnetic particles in MRP fluid are arranged into chains along the
magnetic field line. The abrasive particles originally dissociated in the
polishing fluid are clamped between magnetic particles and between flux
linkage. The content of magnetic particles directly affects the formation of
flux linkage, thereby affecting the polishing effect. MRP fluid containing
35 % vol, 40 % vol, 45 % vol, and 50 % vol hydroxyl iron powder was selected for
single-factor polishing experiment under the following conditions: polishing
time of 30 min, working gap of 0.4 mm, spindle speed of 600 r min<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and 5 % vol polishing fluid. Figure 9 shows the changes in the surface roughness and
residual stress of the sample with different hydroxyl iron powder contents.
The surface roughness decreases first and then increases with increasing
magnetic particle content, and the maximum difference is 0.12 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the content is 40 %, the surface quality is good and the surface roughness reaches 0.13 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The residual stress increases from 68.72 to 91.71 MPa, showing a slight upward trend as a whole, indicating that the increase in the magnetic particle content had slight effect on residual stress.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1421">Effect of different magnetic particle abrasive content on surface
roughness of the sample.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1432">Microscopic appearance of samples with different magnetic particle
contents.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f10.png"/>

        </fig>

      <?pagebreak page186?><p id="d1e1442">Figure 10 shows the polishing patterns of workpieces observed by a white light interferometer with different magnetic particle contents. When the content is 35 %, the sample has a small number of pits and plastic removal traces.
The iron powder is less than the abrasive, and the clamping force provided
by the iron powder is limited; as such, the abrasive cannot completely
remove the surface defects. The surface quality is low, and the
corresponding Ra value is 0.15 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the content of iron powder is 40 %, the pits and removal traces are significantly reduced compared with that at 35 %. With increasing number of iron powder particles and the same content of abrasive particles, the number of iron powder and abrasive
particles is close to the equilibrium. The clamping force provided by iron
powder particles cannot only remove the surface defects of abrasive
particles but also enable them to be timely separated to update the abrasive
particles. Finally, the overall material removal is increased and the
surface quality is improved. The optimal Ra value is 0.13 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the contents are 45 % and 50 %, the surface of the sample has pits and removal marks. The amount of iron powder exceeds the number of abrasive
particles due to the increase in the iron powder content, and the clamping
force provided by iron powder particles is large. As such, the abrasive
particles involved in polishing have difficulty to escape constraints,
resulting in the difficulty of updating the passivated abrasive particles
and affecting the quality of the final surface.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1463">Effect of different working clearance on surface roughness of the
sample.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e1474">Microscopic appearance of samples under different working gaps.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f12.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Effect of working gap on surface roughness</title>
      <p id="d1e1491">In different sizes of the working gap, the different thicknesses of the
polishing pad formed by polishing liquid may affect the polishing force of
the sample surface and the material removal rate and surface quality.
The control experimental conditions are as follows: polishing time of 30 min, spindle speed of 600 r min<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, polishing liquid composition with iron powder concentration of 45 % vol, brown corundum concentration of 5 % vol under 0.2, 0.4, 0.6, and 0.8 mm processing conditions. Figure 11 shows the
influence of working gap on the surface roughness and residual stress.<?pagebreak page187?> With
decreasing working gap, the surface roughness Ra first decreases and then
increases, the maximum difference is 0.151 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m and reaches a small value at 0.6 mm ,and the surface roughness Ra is 0.099 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The residual stress decreases from 236.74 to 43.32 MPa with increasing working gap.</p>
      <p id="d1e1522">Figure 12 shows the surface topography of the workpiece observed by a white
light interferometer under different working gaps. When the working gap is
0.2 mm, the surface of the sample has fewer residual pits and plastic
removal traces during polishing. The polishing pad is thick, the magnetic
field intensity is high, the binding force between the magnetic particles is
strong, the position between the particles is relatively fixed, and the
polishing force is large due to the small working gap. With larger binding
force of the magnetic flux on the abrasive particles, the larger the
polishing force is, the larger the residual stress is, and the surface
roughness can reach 0.18 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. However, due to the small working gap and
the short magnetic flux, the abrasive particles are less, thereby affecting
the removal effect. When the working gap is 0.6 mm, the working effect is
better, the sample surface is smooth, and the pits are fewer; when the
working gap is 0.8 mm, many unfinished meteoric plastic removal traces are
found on the figure. The gap is too large and the magnetic field intensity
is low; as such, the magnetic particle chain does not have sufficient
clamping force on the abrasive particles. When the abrasive particles remove
the material, the cutting force is greater than the clamping force, so the
abrasive particles are separated from the clamping of the magnetic
particles, thereby forming meteoric plastic removal traces.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e1535">Effect of different spindle rotation on surface roughness of the
sample.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f13.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e1547">Microscopic appearance of samples under different spindle speeds.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f14.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page188?><sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Effect of spindle speed on surface roughness</title>
      <p id="d1e1566">Spindle speed affects the relative linear velocity between the polished
particle and the surface, thereby affecting the material removal of the
sample surface by the MRP pad. The control experimental conditions are as
follows: the working gap is 0.4 mm, the polishing time is 30 min, and the
polishing liquid composition is 45 % vol of iron powder and 5 % vol of brown corundum. Figure 13 shows the influence of spindle speed on surface
roughness and residual stress at different rotating speeds. With increasing
spindle speed, the surface roughness Ra first decreases and then increases,
and the maximum difference is 0.11 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the spindle speed reaches 600 r min<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the surface roughness is the lowest, reaching 0.10 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The residual stress decreases with increasing working gap from 119.34 to 39.89 MPa.</p>
      <p id="d1e1597">Figure 14 shows the surface topography of the workpiece observed by the white
light interferometer at different spindle speeds. When the spindle speed is
200 r min<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the micro-pattern has many defects and plastic removal traces and a visible channel direction. When the spindle speed is low, the
polishing times of the workpiece are limited and the material removal amount
is less in unit time; that is, the surface roughness is high. With
increasing spindle speed, the material removal linear velocity and particle
trajectory density of abrasive particles on the surface of the sample
increase, thereby increasing the material removal rate and the surface
quality of the sample increases and decreasing the surface roughness. When
the speed reaches 600 r min<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the surface roughness value is the lowest, reaching 0.10 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the rotational speed exceeds 600 r min<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the
surface roughness increases. With the increase in the rotational speed of
the spindle, the centrifugal force of the particles in the MRP pad
increases, resulting in the deformation of the flux linkage, the decrease in
the clamping force on the particles, and the escape of the particles from the
magnetic chain. The particles are marginalized in the polishing area, the
update speed of the particles in the flux linkage decreases and the material
removal amount per unit time is less, thereby increasing the surface
roughness.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Polishing experiment of optimizing process parameters</title>
      <p id="d1e1653">Based on the above experimental results of each process parameter, the
optimized process parameters of L-PBF formation of 316L stainless steel are
as follows: abrasive content of 4 %, magnetic particle content of 40 %, working gap of 0.6 mm, and spindle speed of 600 r min<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The sample<?pagebreak page189?> was
polished for 30 min under the optimized parameters. The surface morphology
of the workpiece observed by the white light interferometer of the 316L
stainless steel sample formed by L-PBF is depicted in Fig. 15. The surface
roughness Ra of the workpiece decreased from the initial 1.59 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m to
61.43 nm. The comparison before and after polishing is shown in Fig. 16, and
the surface became smooth.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e1678">Surface topography of 316L stainless steel sample under the
optimum process parameters.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f15.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e1689">Comparison before and after polishing: <bold>(a)</bold> before and <bold>(b)</bold> after polishing.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://ms.copernicus.org/articles/14/179/2023/ms-14-179-2023-f16.jpg"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d1e1714">In this study, the surface post-processing of 316L stainless steel sample
formed by L-PBF was carried out by MRP technology, and the polishing
experimental device was set up. The influence and law of the main process
parameters of MRP (abrasive content, magnetic particle content, working gap,
polishing speed) on the surface roughness and residual stress of the sample
were analyzed. The following conclusions were reached:</p>
      <p id="d1e1717"><?xmltex \hack{\newpage}?><list list-type="order">
          <list-item>

      <p id="d1e1723">The content of abrasive particles and magnetic particles directly
affects the number of abrasive particles involved in polishing and the
polishing force provided by the polishing pad. With increasing content of
abrasive particles and magnetic particles, the residual stress increases
slightly and the surface roughness Ra decreases first and then increases.
When the contents of abrasive particles and magnetic particles are 4 % and 40 %, respectively, the surface roughness Ra reaches the minimum.</p>
          </list-item>
          <list-item>

      <p id="d1e1729">The working gap affects the surface magnetic field strength and
polishing pressure of the sample. With increasing working gap, the residual
stress decreases and the surface roughness Ra decreases first and then
increases. When the working gap is 0.6 mm, the surface roughness Ra is 99 nm.</p>
          </list-item>
          <list-item>

      <p id="d1e1735">Spindle speed affects the relative velocity of abrasive particles and
sample surface and the morphology and distribution of abrasive
particles of the MRP pad, thereby affecting the polishing effect. At larger
spindle speed, the residual stress is small. The surface roughness Ra
decreases first and then increases. When the spindle speed reaches 600 r min<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the obtained surface roughness is low, reaching 100 nm.</p>
          </list-item>
          <list-item>

      <p id="d1e1753">The optimized process parameters for polishing are abrasive content of 4 %, magnetic particle content of 40 %, a working gap of 0.6 mm, and spindle speed of 600 r min<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The surface roughness of the sample polished using the optimized parameters decreases from 1.59 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m to 61.43 nm.</p>
          </list-item>
        </list></p>
      <p id="d1e1778">The results can expand the application of MRP technology in the field of
surface treatment of additive manufacturing parts, but limitations still
exist, which would be the focus of future work. At present, MRP has low
material removal efficiency. In the future, ultrasonic technology can be
introduced to form ultrasonic magnetorheological composite polishing to
determine the influence of ultrasonic frequency on material removal.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1785">All data included in this study are available upon request by contacting the corresponding author.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1791">NS, TG, and BC contributed significantly to the conception and design of work, data acquisition, analysis, and interpretation. ML and YX contributed to the acquisition of simulation experimental data and data collation. XP helped with the writing and language.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1797">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1803">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1809">This research has been supported by the Natural Science Foundation of Fujian Province (grant no. 2020J01874), the Program for Innovative Research Team in Science and Technology in Fujian Province University (2020 grant no. 12), Fujian Provincial Key Project of Science and Technology Innovation (grant no. 2022G02007), High-level Talents Foundation of Fuzhou Polytechnic (grant no. FZYRCQD 201903), and the National Natural Science Foundation (grant no. 52275413).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1815">This paper was edited by Jeong Hoon Ko and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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