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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">donstu</journal-id><journal-title-group><journal-title xml:lang="en">Advanced Engineering Research (Rostov-on-Don)</journal-title><trans-title-group xml:lang="ru"><trans-title>Advanced Engineering Research (Rostov-on-Don)</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2687-1653</issn><publisher><publisher-name>Don State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">donstu-958</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>PHYSICAL AND MATHEMATICAL SCIENCES</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКО-МАТЕМАТИЧЕСКИЕ НАУКИ</subject></subj-group></article-categories><title-group><article-title>THE BOUNDARY-LAYER SOLUTION ANALYSIS IN THE PROBLEM OF TORSION FOR THE RADIALLY-LAYERED CYLINDER</article-title><trans-title-group xml:lang="ru"><trans-title>Анализ пограничного слоя в задаче кручения для радиально-слоистого цилиндра</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>МЕХТИЕВ</surname><given-names>МАГОМЕД ФАРМАН ОГЛЫ</given-names></name><name name-style="western" xml:lang="en"><surname>MEKHTIEV</surname><given-names>M. F.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>АХМЕДОВ</surname><given-names>НАТИК КАРАКИШИ ОГЛЫ</given-names></name><name name-style="western" xml:lang="en"><surname>AKHMEDOV</surname><given-names>N. K.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>САДЫКОВ</surname><given-names>ПОЛАД МАМЕД ОГЛЫ</given-names></name><name name-style="western" xml:lang="en"><surname>SADYKOV</surname><given-names>P. M.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Бакинский государственный университет</institution><country>Russian Federation</country></aff><aff xml:lang="ru" id="aff-2"><institution>Азербайджанский архитектурно-строительный университет</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2010</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2010</year></pub-date><volume>10</volume><issue>2</issue><fpage>153</fpage><lpage>160</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; MEKHTIEV M.F., AKHMEDOV N.K., SADYKOV P.M., 2010</copyright-statement><copyright-year>2010</copyright-year><copyright-holder xml:lang="ru">МЕХТИЕВ М.Ф., АХМЕДОВ Н.К., САДЫКОВ П.М.</copyright-holder><copyright-holder xml:lang="en">MEKHTIEV M.F., AKHMEDOV N.K., SADYKOV P.M.</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://www.vestnik-donstu.ru/jour/article/view/958">https://www.vestnik-donstu.ru/jour/article/view/958</self-uri><abstract><p>It is shown on the example of the torsion problem that in radially-layered cylinders with alternating rigid and soft layers there are poorly fading boundary-layer solutions. Elementary decisions corresponding to them can get deeply enough and change essentially a picture of the stress-strain condition far from end faces. It leads actually to infringement of Sen-Venan principle in its classical formulation.</p></abstract><trans-abstract xml:lang="ru"><p>Решена задача кручения радиально-слоистого цилиндра, состоящего из чередующихся жестких и мягких слоев. Соответствующие им элементарные решения могут проникать достаточно глубоко и существенно менять картину напряженно-деформированного состояния вдали от торцов. Это приводит фактически к нарушению принципа Сен-Венана в его классической формулировке.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>радиально-слоистый цилиндр</kwd><kwd>погранслой</kwd><kwd>спектр оператора.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>radially-layered cylinder</kwd><kwd>boundary layer solution</kwd><kwd>operator’s spectrum.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Лурье А.И. Теория упругости. / А.И. Лурье. - М.: Наука, 1970. – 939 с.</mixed-citation><mixed-citation xml:lang="en">Lur'e A.I. Teoriya uprugosti. / A.I. Lur'e. - M.: Nauka, 1970. - 939 s.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Устинов Ю.А. О структуре погранслоя в слоистых плитах / Ю.А. Устинов //Докл. 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