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Weight function approach to study a crack propagating along a bimaterial interface under asymmetric loading in anisotropic solids

Pryce, Lewis and Morini, Lorenzo and Mishuris, Gennady Weight function approach to study a crack propagating along a bimaterial interface under asymmetric loading in anisotropic solids. Journal of Mechanics of Materials and Structures, 8. pp. 479-500. ISSN 1559-3959 (2013)

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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
Identification Number: https://doi.org/10.2140/jomms.2013.8.479
Uncontrolled Keywords: Interfacial crack; Steady-state propagation; Weight functions; Stress intensity factors; Energy release rate.
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 11 Mar 2016 12:45
Last Modified: 11 Mar 2016 12:45
URI: http://eprints.imtlucca.it/id/eprint/3219

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