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Integral identities for an interfacial crack in an anisotropic bimaterial with an imperfect interface

Research paper by Lewis Pryce, Adam Vellender, Alexander Zagnetko

Indexed on: 25 Nov '14Published on: 25 Nov '14Published in: Mathematical Physics



Abstract

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 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.