Singularities of homogeneous deformations of constrained hyper-elastic materials

Lazopoulos, KA; Bakogianni, DG

dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Bakogianni, DG	en
dc.date.accessioned	2014-03-01T01:27:15Z
dc.date.available	2014-03-01T01:27:15Z
dc.date.issued	2007	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18366
dc.subject	Bifurcation	en
dc.subject	Constrained materials	en
dc.subject	Continuum mechanics	en
dc.subject	Finite elasticity	en
dc.subject	Singularities	en
dc.subject	Stability theory	en
dc.subject.classification	Mechanics	en
dc.subject.other	Anisotropy	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Deformation	en
dc.subject.other	Elasticity	en
dc.subject.other	Potential energy	en
dc.subject.other	Stability	en
dc.subject.other	Constrained materials	en
dc.subject.other	Elliptical singularity	en
dc.subject.other	Equilibrium paths	en
dc.subject.other	Hyper-elastic materials	en
dc.subject.other	Singularity analysis	en
dc.subject.other	Continuum mechanics	en
dc.title	Singularities of homogeneous deformations of constrained hyper-elastic materials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2006.10.026	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2006.10.026	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	Singularity analysis is performed for homogeneous deformations of any hyper-elastic, constrained anisotropic material, under any type of conservative quasi-static loading. Critical conditions for branching of the equilibrium paths are defined and their post-critical behavior is discussed. Classification of the simple (cuspoids) and compound (umbilics) singularities of the total potential energy function is effected. The theory is implemented into an umbilic elliptical singularity of an isotropic and totally inextensible unit cube under normal loading. (C) 2007 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.2006.10.026	en
dc.identifier.isi	ISI:000246943400016	en
dc.identifier.volume	44	en
dc.identifier.issue	11-12	en
dc.identifier.spage	3861	en
dc.identifier.epage	3874	en