On discontinuous strain fields in 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/123456789/17429
dc.subject	Bifurcation	en
dc.subject	Continuum mechanics	en
dc.subject	Large deformations	en
dc.subject	Maxwell's sets	en
dc.subject	Singularities	en
dc.subject	Stability	en
dc.subject	Two-phase strain	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Deformation	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Set theory	en
dc.subject.other	Shearing	en
dc.subject.other	Stability	en
dc.subject.other	Bifurcations	en
dc.subject.other	Large deformations	en
dc.subject.other	Maxwell's sets	en
dc.subject.other	Singularities	en
dc.subject.other	Two-phase strain	en
dc.subject.other	Elasticity	en
dc.title	On discontinuous strain fields in finite elastostatics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2005.03.009	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2005.03.009	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	A general method for the study of piece-wise homogeneous strain fields in finite elasticity is proposed. Critical homogeneous deformations, supporting strain jumping, are defined for any anisotropic elastic material under constant Piola-Kirchhoff stress field in three-dimensional elasticity. Since Maxwell's sets appear in the neighborhood of singularities higher than the fold, the existence of a cusp singularity is a sufficient condition for the emergence of piece-wise constant strain fields. General formulae are derived for the study of any problem without restrictions or fictitious stress-strain laws. The theory is implemented in a simple shearing plane strain problem. Nevertheless, the procedure is valid for any anisotropic material and three-dimensional problems. (c) 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2005.03.009	en
dc.identifier.isi	ISI:000237402500021	en
dc.identifier.volume	43	en
dc.identifier.issue	11-12	en
dc.identifier.spage	3643	en
dc.identifier.epage	3655	en