The concept of physical metric in rate-independent generalized plasticity

Panoskaltsis, VP; Soldatos, D; Triantafyllou, SP

dc.contributor.author	Panoskaltsis, VP	en
dc.contributor.author	Soldatos, D	en
dc.contributor.author	Triantafyllou, SP	en
dc.date.accessioned	2014-03-01T01:37:17Z
dc.date.available	2014-03-01T01:37:17Z
dc.date.issued	2011	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21491
dc.subject.classification	Mechanics	en
dc.subject.other	Covariant balances	en
dc.subject.other	Finite elasticity	en
dc.subject.other	Finite plasticity	en
dc.subject.other	Generalized plasticity	en
dc.subject.other	Internal variables	en
dc.subject.other	Material models	en
dc.subject.other	Mechanical state	en
dc.subject.other	Vector fields	en
dc.subject.other	Elasticity	en
dc.subject.other	Equations of state	en
dc.subject.other	Plastic parts	en
dc.subject.other	Plasticity	en
dc.title	The concept of physical metric in rate-independent generalized plasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-010-0417-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-010-0417-3	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	A new internal variable formulation of rate-independent generalized plasticity is presented. The formulation relies crucially on the consideration of the physical (referential) metric as a primary internal variable and does not invoke any decomposition of the kinematical quantities into elastic and plastic parts. On the basis of a purely geometrical argument, namely the invariance of a set under the action of the flow of a vector field, the transition to classical plasticity is demonstrated. The covariant balance of energy is systematically employed for the derivation of the mechanical state equations. It is shown that unlike the case of finite elasticity, in finite plasticity the covariant balance of energy does not yield the Doyle-Ericksen formula, unless a further assumption is made. As an application, a material model is developed and is tested numerically for the solution of several problems of large-scale plastic flow. © 2011 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-010-0417-3	en
dc.identifier.isi	ISI:000293983000005	en
dc.identifier.volume	221	en
dc.identifier.issue	1-2	en
dc.identifier.spage	49	en
dc.identifier.epage	64	en