Can Coulomb criterion be generalized in case of ductile materials? An application to Bridgman experiments

Andrianopoulos, NP; Manolopoulos, VM

dc.contributor.author	Andrianopoulos, NP	en
dc.contributor.author	Manolopoulos, VM	en
dc.date.accessioned	2014-03-01T02:08:19Z
dc.date.available	2014-03-01T02:08:19Z
dc.date.issued	2012	en
dc.identifier.issn	00207403	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29636
dc.subject	Bridgman experiments	en
dc.subject	Constitutive equations	en
dc.subject	Coulomb criterion	en
dc.subject	DruckerPrager criterion	en
dc.subject	Non-linear elasticity	en
dc.subject	T-criterion	en
dc.subject.other	Bridgman	en
dc.subject.other	Coulomb criterion	en
dc.subject.other	Deviatoric strain	en
dc.subject.other	Drucker-Prager	en
dc.subject.other	Ductile materials	en
dc.subject.other	Elastic materials	en
dc.subject.other	Elastic strain energy	en
dc.subject.other	Failure behaviors	en
dc.subject.other	Failure surface	en
dc.subject.other	Nonlinear elasticity	en
dc.subject.other	Stress space	en
dc.subject.other	T-criterion	en
dc.subject.other	Universal criterion	en
dc.subject.other	Constitutive equations	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Elasticity	en
dc.subject.other	Experiments	en
dc.subject.other	Strain energy	en
dc.subject.other	Materials	en
dc.title	Can Coulomb criterion be generalized in case of ductile materials? An application to Bridgman experiments	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijmecsci.2011.11.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijmecsci.2011.11.003	en
heal.publicationDate	2012	en
heal.abstract	The failure behavior of isotropic non-linear elastic materials is macroscopically studied in terms of elastic strain energy density generalizing the Coulomb criterion. This generalization is based on a rigorous mathematical substrate developed on the principle of conservation of the total elastic strain energy. In the general case of loading the behavior of a material is described with regard to the secant elastic moduli depending on both first strain and second deviatoric strain invariants. This dependence enlightens, in physical terms, the different reaction of materials in normal and shear stresses. Besides, these two moduli establish two constitutive equations for the complete description of any material, instead of the usual one. A theoretical application is given and the failure surfaces which are obtained in stress space are being commented. Predictions obtained in tension of steel under pressure from Bridgmans experiments and some of his observations for the failure behavior of steels are explained on the existence of a universal criterion with the present approach. © 2011 Elsevier Ltd. All rights reserved.	en
heal.journalName	International Journal of Mechanical Sciences	en
dc.identifier.doi	10.1016/j.ijmecsci.2011.11.003	en
dc.identifier.volume	54	en
dc.identifier.issue	1	en
dc.identifier.spage	241	en
dc.identifier.epage	248	en