Orthogonal components of elastic energy in transtropic materials by the use of the elliptic paraboloid failure surface

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:37Z
dc.date.available	2014-03-01T01:07:37Z
dc.date.issued	1989	en
dc.identifier.issn	00015970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10069
dc.subject	Elastic Energy	en
dc.subject	Fiber Reinforced Composite	en
dc.subject.other	Elasticity--Theory	en
dc.subject.other	Elastic Energy	en
dc.subject.other	Elliptic Paraboloid Failure Surface	en
dc.subject.other	Stress Space	en
dc.subject.other	Transtropic Materials	en
dc.subject.other	Yield Surface	en
dc.subject.other	Composite Materials	en
dc.title	Orthogonal components of elastic energy in transtropic materials by the use of the elliptic paraboloid failure surface	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01379743	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01379743	en
heal.publicationDate	1989	en
heal.abstract	The extension of the notion of energy-orthogonal states of stress in other than isotropic materials was established recently and conditions for the existence of such states were proved. In this paper, concentrating to transtropic materials encompassing all fiber reinforced composites we have shown that the total elastic energy density in such materials can be separated into two components derived from orthogonal states of stresses, based on the fundamental properties of the elliptic paraboloid failure surface. It was further shown that either orthogonal term is composed of terms depending on the first stress invariant, as well as on the characteristic coefficients of anisotropy and the strength differential parameters of the transtropic material. Furthermore, while the term parallel to the hydrostatic axis of the failure criterion is constant and independent of the angle of the stress vector, the term lying on a plane parallel to the deviatoric plane is variable. Its value depends on the angle subtended by the projection of the stress vector on the deviatoric plane and it attains maximum and minimum values passing through equal symmetric values in-between these maxima and minima of energy levels. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01379743	en
dc.identifier.volume	77	en
dc.identifier.issue	1-2	en
dc.identifier.spage	69	en
dc.identifier.epage	89	en