PARABOLOIDAL FAILURE SURFACE OF INITIALLY ANISOTROPIC ELASTIC SOLIDS.

Theocaris, PS; Philippidis, TP

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Philippidis, TP	en
dc.date.accessioned	2014-03-01T01:39:14Z
dc.date.available	2014-03-01T01:39:14Z
dc.date.issued	1987	en
dc.identifier.issn	07316844	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22629
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023435683&partnerID=40&md5=68ed6224dbf23f15a5479ffcc4addb5f	en
dc.subject.other	ELASTICITY	en
dc.subject.other	MATERIALS - Anisotropy	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Polynomials	en
dc.subject.other	SURFACES - Mathematical Models	en
dc.subject.other	ANISOTROPIC ELASTIC SOLIDS	en
dc.subject.other	PARABOLOIDAL FAILURE SURFACE	en
dc.subject.other	SOLIDS	en
dc.title	PARABOLOIDAL FAILURE SURFACE OF INITIALLY ANISOTROPIC ELASTIC SOLIDS.	en
heal.type	journalArticle	en
heal.publicationDate	1987	en
heal.abstract	The generalization of the paraboloidal failure criterion for isotropic materials in order to cover anisotropic failure is presented in this paper. The resulting limit condition for anisotropic bodies is derived by a straightforward mathematical analysis based on physical grounds. The associated geometric interpretation of the failure condition in the principal stress space is an elliptic paraboloid having its axis of symmetry parallel to the hydrostatic axis and displaced from the origin of the coordinate system. All the geometric features of this failure surface depend on the degree of strength-anisotropy and strength-properties of the material. Then, given the appropriate strength parameters in three mutually orthogonal material directions, coaxial with the resulting principal stress coordinate system, one has a clear and well defined geometric picture of the failure surface for three-dimensional stress systems.	en
heal.journalName	Journal of Reinforced Plastics and Composites	en
dc.identifier.volume	6	en
dc.identifier.issue	4	en
dc.identifier.spage	378	en
dc.identifier.epage	395	en