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Comparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains

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dc.contributor.authorVershinin, A. V.
dc.contributor.authorLevin, V. A.
dc.contributor.authorZingerman, K. M.
dc.contributor.authorЗингерман, Константин Моисеевич
dc.date.accessioned2024-11-20T10:54:07Z
dc.date.available2024-11-20T10:54:07Z
dc.date.issued2019
dc.description.abstract© Published under licence by IOP Publishing Ltd. The results of a comparison of the numerical-analytical solution of the Lame problem for a cylinder made of nonlinear elastic material with the solution of the same problem by the finite element method are presented. Calculations are made for the compressible Mooney-Rivlin material and the Murnaghan material. The numerical-analytical solution is based on the use of the semi-inverse method, which is briefly described in relation to the class of problems under consideration; the problem reduces to solving the Cauchy problem for an ordinary differential equation. A finite-element solution was found in a three-dimensional formulation using the Fidesys engineering strength analysis system using 8-node and 20-node elements. The influence of the type of finite elements, material parameters and the magnitude of the applied load on the computational error is investigated.
dc.identifier.citationVershinin, A. V. Comparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains / Vershinin, A.V., Levin, V.A., Zingerman, K.M. // Journal of Physics: Conference Series. - 2019. - 1158. - № 4. - 10.1088/1742-6596/1158/4/042045
dc.identifier.doi10.1088/1742-6596/1158/4/042045
dc.identifier.urihttps://www.doi.org/10.1088/1742-6596/1158/4/042045
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85063808732&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000560244900141
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/16842
dc.relation.ispartofJournal of Physics: Conference Series
dc.titleComparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.issue4
oaire.citation.volume1158
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