Integral identities for fracture along imperfectly joined anisotropic ceramic bimaterials

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• 作者：A. Vellender ; ^{asv2@aber.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; L. Pryce ; A. Zagnetko
• 关键词：Anisotropic bimaterial ; Fracture ; Imperfect interface ; Integral identity ; Piezoceramic
• 刊名：Journal of the European Ceramic Society
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：36
• 期：9
• 页码：2389-2402
• 全文大小：1018 K

文摘

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.