Weight function approach to a crack propagating along a bimaterial interface under arbitrary loading in an anisotropic solid

Pryce, Lewis, Morini, Lorenzo ORCID: https://orcid.org/0000-0001-7155-5036 and Mishuris, Gennady 2013. Weight function approach to a crack propagating along a bimaterial interface under arbitrary loading in an anisotropic solid. Journal of Mechanics of Materials and Structures 8 (8-10) , pp. 479-500. 10.2140/jomms.2013.8.479

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Abstract

The focus of this paper is the study of the dynamic steady-state propagation of interfacial cracks in anisotropic bimaterials under general, nonsymmetric loading conditions. Symmetric and skew-symmetric weight functions, defined as singular nontrivial solutions of a homogeneous traction-free crack problem, have been recently derived for a quasistatic semiinfinite crack at the interface between two dissimilar anisotropic materials. In this paper, the expressions for the weight functions are generalized to the case of a dynamic steady-state crack between two anisotropic media. A functional matrix equation, through which it is possible to evaluate the stress intensity factors and the energy release rate at the crack tip, is obtained. A general method for calculating the asymptotic coefficients of the displacement and traction fields, without any restrictions regarding the loading applied on the crack faces, is developed. The proposed approach is applied for the computing stress intensity factors and higher-order asymptotic terms corresponding to two different example loading configurations acting on the crack faces in an orthotropic bimaterial.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	interfacial crack; steady-state propagation; weight functions; stress intensity factors; energy release rate
Publisher:	Mathematical Sciences Publishers
ISSN:	1559-3959
Last Modified:	21 Oct 2022 06:54
URI:	https://orca.cardiff.ac.uk/id/eprint/98726

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