Explicit bounds on elastic moduli of solids containing isotropic mixture of cracks and voids

Xu, XF; Stefanou, G

dc.contributor.author	Xu, XF	en
dc.contributor.author	Stefanou, G	en
dc.date.accessioned	2014-03-01T02:08:59Z
dc.date.available	2014-03-01T02:08:59Z
dc.date.issued	2012	en
dc.identifier.issn	8756758X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29760
dc.subject	crack	en
dc.subject	crack density	en
dc.subject	damage	en
dc.subject	ductile-brittle transition	en
dc.subject	micro-crack	en
dc.subject	microporosity	en
dc.subject	porosity	en
dc.subject	void shape	en
dc.subject.other	Crack density	en
dc.subject.other	Cracked solid	en
dc.subject.other	damage	en
dc.subject.other	Ductile-brittle transition	en
dc.subject.other	Effective elastic modulus	en
dc.subject.other	Explicit bounds	en
dc.subject.other	Isotropic mixtures	en
dc.subject.other	Multiscales	en
dc.subject.other	Random orientations	en
dc.subject.other	Spheroidal voids	en
dc.subject.other	Upper Bound	en
dc.subject.other	Variational formulation	en
dc.subject.other	Void shape	en
dc.subject.other	Aspect ratio	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Fracture mechanics	en
dc.subject.other	Microporosity	en
dc.subject.other	Porosity	en
dc.subject.other	Cracks	en
dc.title	Explicit bounds on elastic moduli of solids containing isotropic mixture of cracks and voids	en
heal.type	journalArticle	en
heal.identifier.primary	10.1111/j.1460-2695.2012.01663.x	en
heal.identifier.secondary	http://dx.doi.org/10.1111/j.1460-2695.2012.01663.x	en
heal.publicationDate	2012	en
heal.abstract	A variational formulation has been recently proposed by the authors (Xu X.F. and Stefanou, G. (2011). Int J Multiscale Comput Engng 9(3) pp. 347-363) to evaluate effective elastic moduli of randomly cracked solids. Using this formulation, explicit expressions have been obtained for the upper bounds of the elastic moduli in the case of penny-shaped and slit-like random cracks with parallel and random orientations subject to a spherical exclusion constraint. In this paper, it is shown that the bounds derived previously are directly applicable to solids containing isotropic mixture of cracks with no exclusion constraint, which is a more general case for a cracked solid. The bounds are further extended to solids containing spheroidal voids that are characterized with finite value of aspect ratios. © 2012 Blackwell Publishing Ltd.	en
heal.journalName	Fatigue and Fracture of Engineering Materials and Structures	en
dc.identifier.doi	10.1111/j.1460-2695.2012.01663.x	en
dc.identifier.volume	35	en
dc.identifier.issue	8	en
dc.identifier.spage	708	en
dc.identifier.epage	717	en