Solution of contact problems on the basis of a refined theory of plates and shells
Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical sim...
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Veröffentlicht in: | Journal of applied mechanics and technical physics 2008-09, Vol.49 (5), p.846-852 |
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creator | Volchkov, Yu. M. Vajeva, D. V. |
description | Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory. |
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M. ; Vajeva, D. V.</creator><creatorcontrib>Volchkov, Yu. M. ; Vajeva, D. V.</creatorcontrib><description>Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1007/s10808-008-0104-5</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Fluid- and Aerodynamics ; Mathematical Modeling and Industrial Mathematics ; Mechanical Engineering ; Physics ; Physics and Astronomy</subject><ispartof>Journal of applied mechanics and technical physics, 2008-09, Vol.49 (5), p.846-852</ispartof><rights>MAIK/Nauka 2008</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c271t-7e674d4daaafcadbea9a60589863929737f572f2ef8e6272e73b34251561d13c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10808-008-0104-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10808-008-0104-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Volchkov, Yu. M.</creatorcontrib><creatorcontrib>Vajeva, D. V.</creatorcontrib><title>Solution of contact problems on the basis of a refined theory of plates and shells</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.</description><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mechanical Engineering</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LxDAUDKLguvoDvOXkrfqSNE16lMUvWBD8OIe0fXW7dJs1rz34702pZw_Dg2HmMTOMXQu4FQDmjgRYsBnMEJBn-oSthDYqs4WEU7YCkCKzZZ6fswuiPQCUVpgVe3sP_TR2YeCh5XUYRl-P_BhD1eOBeKLHHfLKU0ezwPOIbTdgM9Mh_szcsfcjEvdDw2mHfU-X7Kz1PeHV312zz8eHj81ztn19etncb7NaGjFmBguTN3njvW9r31ToS1-AtqUtVClLo0yrjWwlthYLaSQaValcaqEL0QhVqzW7Wf6muN8T0ugOHdUpgR8wTOSUFoXOoUxCsQjrGIhSA3eM3cHHHyfAzeu5ZT0HM9J6TiePXDyUtMMXRrcPUxxSn39MvxbScgE</recordid><startdate>20080901</startdate><enddate>20080901</enddate><creator>Volchkov, Yu. 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The results obtained are compared with analytical solutions of elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s10808-008-0104-5</doi><tpages>7</tpages></addata></record> |
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subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mechanical Engineering Physics Physics and Astronomy |
title | Solution of contact problems on the basis of a refined theory of plates and shells |
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