We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obtain singular integral equations relating the tractions and displacements for both the in-plane and out-of-plane fields. The problem can be considered as modelling bimaterial ceramics which are joined with a thin soft adhesive substance. The integral equations for the out-of-plane problem are solved numerically for orthotropic bimaterials with differing orientations of anisotropy and for different extents of interfacial imperfection. These results are then compared with finite element computations.
|Journal||Journal of the European Ceramic Society|
|Early online date||22 Feb 2016|
|Publication status||Published - 01 Aug 2016|
- anisotropic bimaterial
- imperfect interface
- integral identity
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- Faculty of Business and Physcial Sciences, Department of Mathematics - Research Lecturer
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