Quasistatic evolution problems for linearly elastic - perfectly plastic materials

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dc.creatorMaso, Gianni Dal
dc.creatorDeSimone, Antonio
dc.creatorMora, Maria Giovanna
dc.date2004-12-10
dc.date.accessioned2026-07-07T05:15:12Z
dc.date.available2026-07-07T05:15:12Z
dc.descriptionThe problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This provides a new approximation result for the solutions of the quasistatic evolution problem, which are shown to be absolutely continuous in time. Four equivalent formulations of the problem in rate form are derived. A strong formulation of the flow rule is obtained by introducing a precise definition of the stress on the singular set of the plastic strain.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/0412212
dc.identifierhttp://arxiv.org/abs/math/0412212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73550
dc.subjectAnalysis of PDEs
dc.subject74C05; 74G65, 49J45, 47J20, 35Q72
dc.titleQuasistatic evolution problems for linearly elastic - perfectly plastic materials
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