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Weight function
approach to a crack propagating along a bimaterial interface
under arbitrary loading in an anisotropic solid
Lewis Pryce, Lorenzo Morini and Gennady Mishuris |
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Vol. 8 (2013), No. 8-10, 479–500
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Abstract |
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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. |
Keywords
interfacial crack, steady-state propagation, weight
functions, stress intensity factors, energy release rate
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Milestones
Received: 4 July 2013
Revised: 24 September 2013
Accepted: 6 October 2013
Published: 30 December 2013
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Authors |
| Lewis Pryce | |
| Institute of Mathematics and
Physics Aberystwyth University Aberystwyth Ceredigion SY23 3BZ United Kingdom |
Enginsoft Trento Via della Stazione 27 - frazione Mattarello 38123 Trento Italy |
| Lorenzo Morini | |
| Department of Civil, Environmental
and Mechanical Engineering University of Trento via Mesiano 77 38123 Trento Italy |
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| Gennady Mishuris | |
| Institute of Mathematics and
Physics Aberystwyth University Aberystwyth Ceredigion SY23 3BZ United Kingdom |
Enginsoft Trento Via della Stazione 27 - frazione Mattarello 38123 Trento Italy |
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