The paraboloid failure surface for the general orthotropic material

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:41Z
dc.date.available	2014-03-01T01:07:41Z
dc.date.issued	1989	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10125
dc.subject	Case Study	en
dc.subject	Failure Criterion	en
dc.subject	Transversely Isotropic	en
dc.subject.classification	Mechanics	en
dc.subject.other	Composite Materials	en
dc.subject.other	Materials Science	en
dc.subject.other	Mathematical Techniques	en
dc.subject.other	Polymers	en
dc.subject.other	Surfaces--Failure	en
dc.subject.other	General Orthotropic Material	en
dc.subject.other	Paraboloid Failure Surface	en
dc.subject.other	Failure Analysis	en
dc.title	The paraboloid failure surface for the general orthotropic material	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01181480	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01181480	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	It has been established that the elliptic paraboloid failure criterion (EPFC) is a potential means of describing the yielding and failure behavior of transversely isotropic (transtropic) materials presenting also strength differential effects along all principal stress axes. The cases studied correspond to symmetric forms of loading which are parallel to the principal strength directions of the material. In this paper the general case of an orthotropic material not presenting any kind of strength symmetry was encountered. It has been shown that an elloptic parabloid surface may continue to represent the failure surface of such materials. However the symmetry of this surface relatively to the principal diagonal plane containing the strong σ3-axis and the bisector of the two remaining axes is destroyed. For these materials the elliptic paraboloid is leaning toward the intermediate strength σ2-axis and the angle of inclination of the plane of symmetry of the paraboloid with the σ1σ2-plane depends on the difference in strengths between the σ2- and σ1-axes. The characteristic properties of the inclined paraboloid were studied and important differences between the inclined and the symmetric surfaces were established. Examples with orthotropic polymers and composites were included exemplifying the characteristic properties of orthotropic materials. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01181480	en
dc.identifier.isi	ISI:A1989AL45200004	en
dc.identifier.volume	79	en
dc.identifier.issue	1-2	en
dc.identifier.spage	53	en
dc.identifier.epage	79	en