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<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-1114</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="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Mechanical modelling of nanotube-polymer adhesion</article-title><trans-title-group xml:lang="ru"><trans-title>Механическое моделирование адгезии нанотрубка–полимер</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Перельмутер</surname><given-names>М. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Perelmuter</surname><given-names>M. N.</given-names></name></name-alternatives><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">perelm@ipmnet.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Ishlinsky Institite for Problems in Mechanics of RAS</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2011</year></pub-date><pub-date pub-type="epub"><day>17</day><month>08</month><year>2025</year></pub-date><volume>2</volume><issue>2</issue><fpage>119</fpage><lpage>125</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Perelmuter M.N., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Перельмутер М.Н.</copyright-holder><copyright-holder xml:lang="en">Perelmuter M.N.</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/1114">https://nanojournal.ifmo.ru/jour/article/view/1114</self-uri><abstract><p>The modelling of the shear strength of nanotubes based nanocomposites is considered. To model the shear strength of nanocomposites it is assumed that the zone of the adhesive interaction between nanotubes and a polymeric matrix is a thin interface layer which has resistance only in the relation to action of shear stresses and has the given curve of deformation. The stress state of nanotubes and a polymeric matrix is determined in the assumption, that the nanotube is a cylindrical fibril with the straight axis, embedded in a infinite polymeric matrix and the displacement along the axis of the nanotube under the action of the external loading along this direction are much more than others components of the nanotube and matrix displacements. The analytical solutions for the axial displacement and normal stress in the nanotubes and the shear stresses in the interface layer for a case of the bilinear deformation curve of an intermediate layer with elastic and hardening or softening branches are obtained.</p></abstract><trans-abstract xml:lang="ru"><p>.</p></trans-abstract><kwd-group xml:lang="en"><kwd>modelling</kwd><kwd>nanotube-polymer adhesion</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by the RFBR, the project number is 11-08-01243-a.</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">Qian D., Dickey E.C., Andrews R., Rantell T. Load transfer and deformation mechanisms on carbon nanotubepolystyrene composites // App. Phys. Let., 2000. V. 76, No. 20. 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