<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">najo-1135</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Modeling microstructural stresses in polymer-silicate nanocomposite with the influence of spherulitic structures</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Korlyakov</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Perm</p></bio><email xlink:type="simple">korlaykov@icmm.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute of Continuous Media Mechanics UB RAS</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2011</year></pub-date><pub-date pub-type="epub"><day>19</day><month>08</month><year>2025</year></pub-date><volume>2</volume><issue>3</issue><fpage>37</fpage><lpage>41</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Korlyakov A.S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Korlyakov A.S.</copyright-holder><copyright-holder xml:lang="en">Korlyakov A.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/1135">https://nanojournal.ifmo.ru/jour/article/view/1135</self-uri><abstract><p>Polymer nanocomposites based on polyolefins and layered clay minerals (smectites) are multi-layered structure. Even unfilled polyolefins (polyethylene, polypropylene, etc.) are structurally heterogeneous environment consisting of amorphous and crystalline phases. Adding filler further complicates the structure of the material.</p><p>The results of computer simulation of interaction of silicate inclusions, crystalline supermolecular formations in the matrix (spherulites) and its amorphous part.</p><p>Composite is modeled as a square periodicity cell with inclusion and spherulites. Inclusion was a pack of silica plates separated by thin layers of polymer. Spherulite modeled as “snowflakes” of crystallized lamellae (band areas with an ordered arrangement of polymer molecules). Problem was solved by finite element method in nonlinear-elastic formulation (plane strain).</p></abstract><kwd-group xml:lang="en"><kwd>microstructural stresses</kwd><kwd>polymer-silicate nanocomposite</kwd><kwd>spherulitic structure</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by RFBR (projects No. 09-08-00339 and No. 09-03-00402).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Fengge G. Clay/polymer composites: the story // Materials Today. — 2004. — No. 11. — P. 50–55.</mixed-citation><mixed-citation xml:lang="en">Fengge G. Clay/polymer composites: the story // Materials Today. — 2004. — No. 11. — P. 50–55.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Sheng N., Boyce M. C., Parks D. M., Rutledge G. C., Abes J. I., Cohen R. E. Multiscale micromechanical modeling of polymer/clay nano-composites and the effective clay particle // Polymer. — 2004. — V. 45. — P. 487–506.</mixed-citation><mixed-citation xml:lang="en">Sheng N., Boyce M. C., Parks D. M., Rutledge G. C., Abes J. I., Cohen R. E. Multiscale micromechanical modeling of polymer/clay nano-composites and the effective clay particle // Polymer. — 2004. — V. 45. — P. 487–506.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Guseva M. A. Struktura i fiziko-mehanicheskie svojstva nanokompozitov na osnove nepoljarnogo polimera i sloevogo silikata [in Russian] // Dis. kand. fiz.-mat. nauk. — M., 2005. — 155 p.</mixed-citation><mixed-citation xml:lang="en">Guseva M. A. Struktura i fiziko-mehanicheskie svojstva nanokompozitov na osnove nepoljarnogo polimera i sloevogo silikata [in Russian] // Dis. kand. fiz.-mat. nauk. — M., 2005. — 155 p.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Oleinik Je. F. Plastichnost’ chastichno-kristallicheskih gibkocepnyh polimerov na mikro- i mezo-urovnjah [in Russian] // Vysokomolek. Soed. S. — 2003. — V. 45, No. 10. — P. 1–129.</mixed-citation><mixed-citation xml:lang="en">Oleinik Je. F. Plastichnost’ chastichno-kristallicheskih gibkocepnyh polimerov na mikro- i mezo-urovnjah [in Russian] // Vysokomolek. Soed. S. — 2003. — V. 45, No. 10. — P. 1–129.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Garishin O. C., Lebedev S. N., Svistkov A. L. Shape distortion of silicate nanoinclusions in dispersly filled polyolefines [in Russian] // XXXV Summer school “Advanced problems in mechanics”: Proceedings. — St. Petersburg (Repino), 2007. — P. 118–122.</mixed-citation><mixed-citation xml:lang="en">Garishin O. C., Lebedev S. N., Svistkov A. L. Shape distortion of silicate nanoinclusions in dispersly filled polyolefines [in Russian] // XXXV Summer school “Advanced problems in mechanics”: Proceedings. — St. Petersburg (Repino), 2007. — P. 118–122.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Garishin O. K., Lebedev S. N., Korlyakov A. S. Issledovanie mikronaprjazhennogo sostojanija v polimernyh nanokompozitah na osnove glinistogo napolnitelja i poliolefinovoj matricy [in Russian] // Vestnik PGTU: Matematicheskoe modelirovanie sistem i processov. — Perm: PGTU, 2007. — No. 15. — P. 9–14.</mixed-citation><mixed-citation xml:lang="en">Garishin O. K., Lebedev S. N., Korlyakov A. S. Issledovanie mikronaprjazhennogo sostojanija v polimernyh nanokompozitah na osnove glinistogo napolnitelja i poliolefinovoj matricy [in Russian] // Vestnik PGTU: Matematicheskoe modelirovanie sistem i processov. — Perm: PGTU, 2007. — No. 15. — P. 9–14.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Garishin O. K., Korlyakov A. S. Modelirovanie mehanicheskogo vzaimodejstvija mezhdu chasticami napolnitelja i svjazujuwim v polimer-silikatnyh nanokompozitah pri konechnyh makrodeformacijah [in Russian] // Vychislitel’naja mehanika sploshnyh sred. — 2009. — V. 2, No. 3. — P. 25—33.</mixed-citation><mixed-citation xml:lang="en">Garishin O. K., Korlyakov A. S. Modelirovanie mehanicheskogo vzaimodejstvija mezhdu chasticami napolnitelja i svjazujuwim v polimer-silikatnyh nanokompozitah pri konechnyh makrodeformacijah [in Russian] // Vychislitel’naja mehanika sploshnyh sred. — 2009. — V. 2, No. 3. — P. 25—33.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Bahvalov N.S., Panasenko G.P. Osrednenie processov v periodicheskih sredah. Matematicheskie zadachi mehaniki kompozicionnyh materialov [in Russian]. — M.: Nauka, 1984. — 352 p.</mixed-citation><mixed-citation xml:lang="en">Bahvalov N.S., Panasenko G.P. Osrednenie processov v periodicheskih sredah. Matematicheskie zadachi mehaniki kompozicionnyh materialov [in Russian]. — M.: Nauka, 1984. — 352 p.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
