On discontinuous strain fields in incompressible finite elastostatics

Lazopoulos, KA

dc.contributor.author	Lazopoulos, KA	en
dc.date.accessioned	2014-03-01T01:24:47Z
dc.date.available	2014-03-01T01:24:47Z
dc.date.issued	2006	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17430
dc.subject	Bifurcations	en
dc.subject	Continuum mechanics	en
dc.subject	Discontinous strain	en
dc.subject	Finite elasticity	en
dc.subject	Singularities	en
dc.subject	Two phase states	en
dc.subject.classification	Mechanics	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Deformation	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Tensors	en
dc.subject.other	Bifurcations	en
dc.subject.other	Discontinous strain	en
dc.subject.other	Finite elasticity	en
dc.subject.other	Two phase states	en
dc.subject.other	Elasticity	en
dc.title	On discontinuous strain fields in incompressible finite elastostatics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2005.07.047	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2005.07.047	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Piece-wise homogeneous three-dimensional deformations in incompressible materials in finite elasticity are considered. The emergence of discontinuous strain fields in incompressible materials is studied via singularity theory. Since the simplest singularities, including Maxwell's sets, are the cusp singularities, cusp conditions for the total energy function of homogeneous deformations for incompressible materials in finite elasticity will be derived, compatible with strain jumping. The proposed method yields simple criteria for the study of discontinuous deformations in three-dimensional problems and for any homogeneous incompressible material. Furthermore the homogeneous stress tensor is also not restricted. Neither fictitious nor simplified constitutive relations are invoked. The theory is implemented in a simple shearing problem. (c) 2005 Published by Elsevier Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2005.07.047	en
dc.identifier.isi	ISI:000238550000018	en
dc.identifier.volume	43	en
dc.identifier.issue	14-15	en
dc.identifier.spage	4357	en
dc.identifier.epage	4369	en