Decomposition of strain energy density in fiber reinforced composites

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:24Z
dc.date.available	2014-03-01T01:07:24Z
dc.date.issued	1989	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9986
dc.subject	Fiber Reinforced Composite	en
dc.subject	Strain Energy Density	en
dc.subject.classification	Mechanics	en
dc.subject.other	Strain	en
dc.subject.other	Elliptic Paraboloid Failure Surface	en
dc.subject.other	Isotropic Transverse Plane	en
dc.subject.other	Strain Energy Density	en
dc.subject.other	Composite Materials	en
dc.title	Decomposition of strain energy density in fiber reinforced composites	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(89)90084-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(89)90084-2	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	The elliptic paraboloid failure surface (EPFS) has been shown to constitute an ideal criterion for yielding and failure of fiber reinforced materials, whose predictions coincide with extensive experimental evidence in various fiber laminates. Using this failure surface and limiting ourselves to transtropic materials describing all fiber reinforced composites we have shown that the total elastic strain-energy density can be divided into two independent parts, derived from orthogonal states of stress in such a manner that each component of stress in either part of the energy does not contribute to the energy belonging in the other part. Then, it was shown that while the orthogonal part of energy parallel to the hydrostatic axis of principal stress space is constant and independent of the orientation of the total stress vector, the terms parallel to the deviatoric plane are variable depending on the angle subtended by the stress vector and the principal diagonal plane containing the strong principal axis. Furthermore, whereas all terms of strain-energy density are created from couples of stresses and strains derived from each one of their components, only the term parallel to the deviatoric plane and normal to the principal diagonal plane is derived from collinear corresponding components. This term for transtropic materials expresses a strain energy density due exclusively to shear along the isotropic transverse plane of the material. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(89)90084-2	en
dc.identifier.isi	ISI:A1989AB74900003	en
dc.identifier.volume	33	en
dc.identifier.issue	3	en
dc.identifier.spage	335	en
dc.identifier.epage	343	en