Variational bounds on the eigenangle ω of transversely isotropic materials

Theocaris, PS; Philippidis, TP

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Philippidis, TP	en
dc.date.accessioned	2014-03-01T01:08:11Z
dc.date.available	2014-03-01T01:08:11Z
dc.date.issued	1990	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10325
dc.subject	Transversely Isotropic	en
dc.subject.classification	Mechanics	en
dc.subject.other	Crystals	en
dc.subject.other	Mathematical Techniques--Eigenvalues and Eigenfunctions	en
dc.subject.other	Metals and Alloys	en
dc.subject.other	Plastics, Reinforced--Fibers	en
dc.subject.other	Stresses--Analysis	en
dc.subject.other	Composite Mateerials	en
dc.subject.other	Eigenangles	en
dc.subject.other	Graphite/Epoxy Composites	en
dc.subject.other	Oxides	en
dc.subject.other	Quartz	en
dc.subject.other	Transversely Isotropic Media	en
dc.subject.other	Materials	en
dc.title	Variational bounds on the eigenangle ω of transversely isotropic materials	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01213539	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01213539	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	It is shown that the necessary parameters for an invariant description of the elastic behaviour of a transversely isotropic medium in terms of the spectral decomposition of its compliance tensor are the four eigenvalues of it and a dimensionless parameter, appropriately defined, the eigenangle ω. A study of the variational bounds imposed by thermodynamic restrictions on the values of the eigenangle ω is presented. It is further proposed that the eigenangle ω can be successfully used as a single parameter characterizing qualitatively both elasticity and toughness of transversely isotropic media. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01213539	en
dc.identifier.isi	ISI:A1990EH71800002	en
dc.identifier.volume	85	en
dc.identifier.issue	1-2	en
dc.identifier.spage	13	en
dc.identifier.epage	26	en