A geometric theory of 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	2014-03-01T02:52:50Z
dc.date.available	2014-03-01T02:52:50Z
dc.date.issued	2011	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36099
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84857411103&partnerID=40&md5=1b5e365dd9d10d6825a8e71ec3386500	en
dc.subject	Balance of energy	en
dc.subject	Covariance	en
dc.subject	Dissipation	en
dc.subject	Generalized plasticity	en
dc.subject	Internal variables	en
dc.subject	Lie derivative	en
dc.subject	Metric	en
dc.subject	Reversibility	en
dc.subject	Second law of thermodynamics	en
dc.subject.other	Balance of energy	en
dc.subject.other	Covariance	en
dc.subject.other	Generalized plasticity	en
dc.subject.other	Internal variables	en
dc.subject.other	Lie derivative	en
dc.subject.other	Metric	en
dc.subject.other	Reversibility	en
dc.subject.other	Second Law of Thermodynamics	en
dc.subject.other	Computational methods	en
dc.subject.other	Elasticity	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Equations of state	en
dc.subject.other	Plastic parts	en
dc.subject.other	Thermodynamics	en
dc.subject.other	Plasticity	en
dc.title	A geometric theory of plasticity	en
heal.type	conferenceItem	en
heal.publicationDate	2011	en
heal.abstract	A new geometric 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 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 new material model is developed and is tested numerically for the solution of several problems of large scale plastic flow.	en
heal.journalName	Proceedings of the 4th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2011	en
dc.identifier.spage	506	en
dc.identifier.epage	520	en