SPECTRAL DECOMPOSITION OF COMPLIANCE AND STIFFNESS 4TH-RANK TENSORS SUITABLE FOR ORTHOTROPIC MATERIALS

THEOCARIS, PS; PHILIPPIDIS, TP

dc.contributor.author	THEOCARIS, PS	en
dc.contributor.author	PHILIPPIDIS, TP	en
dc.date.accessioned	2014-03-01T01:40:55Z
dc.date.available	2014-03-01T01:40:55Z
dc.date.issued	1991	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23313
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	COMPOSITE	en
dc.title	SPECTRAL DECOMPOSITION OF COMPLIANCE AND STIFFNESS 4TH-RANK TENSORS SUITABLE FOR ORTHOTROPIC MATERIALS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	The spectral decomposition of the compliance and stiffness tensors related with tranversely isotropic materials was developed and their characteristic values were calculated by using the components of these fourth-rank tensors in a Cartesian frame defining the principal material directions. Imposing the eigenvalues of the 6 x 6 matrix associated with the contracted 4th rank symmetric tensor to be strictly positive, as implied by the positive definiteness of the elastic potential, bounds of the values of Poisson's ratios were established. They were shown to restrain considerably the existing limits of variations of this fundamental property of the orthotropic materials. Energy orthogonal states of stress for the tranversely isotropic material were also established decomposing the elastic potential in distinct parts associated with the deformation eigen-states of the material symmetry. Thus, the unsolved as yet important problem of extension of separation of the elastic energy to anisotropic materials was achieved by an effective manner which is useful in practical applications.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK	en
dc.identifier.isi	ISI:A1991FK69100003	en
dc.identifier.volume	71	en
dc.identifier.issue	3	en
dc.identifier.spage	161	en
dc.identifier.epage	171	en