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An exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations

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dc.contributor.authorLevin, V. A.
dc.contributor.authorPodladchikov, Y. Y.
dc.contributor.authorZingerman, K. M.
dc.contributor.authorЗингерман, Константин Моисеевич
dc.date.accessioned2024-11-29T17:19:15Z
dc.date.available2024-11-29T17:19:15Z
dc.date.issued2021
dc.description.abstract© 2021Constitutive relations of two classes are proposed for nonlinear elastic isotropic materials, which, in case of purely volumetric deformation, are reduced to the Murnaghan's equation of state. Exact analytical solution of the Lame problem of the radially symmetric deformation of a hollow sphere is obtained for one of these material classes. Nonlinear effects are studied. The non-uniqueness of solution is obtained for the case in which the sphere radii are specified in the initial configuration. It is shown for this case that there is a limiting pressure, above which the problem has no solution. The strong ellipticity conditions are tested. The obtained results can be used in geomechanics for modeling the recrystallization of metamorphic rocks.
dc.identifier.citationLevin, V. A. An exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations / Levin, V.A., Podladchikov, Y.Y., Zingerman, K.M. // European Journal of Mechanics, A/Solids. - 2021. - 90. - 10.1016/j.euromechsol.2021.104345
dc.identifier.doi10.1016/j.euromechsol.2021.104345
dc.identifier.urihttps://www.doi.org/10.1016/j.euromechsol.2021.104345
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85109391207&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000686044600003
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/24326
dc.relation.ispartofEuropean Journal of Mechanics, A/Solids
dc.titleAn exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume90
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