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首页> 外文期刊>International Journal of Solids and Structures >On the unified approach to anisotropic and isotropic elasticity for singularity, interface and crack in dissimilar media
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On the unified approach to anisotropic and isotropic elasticity for singularity, interface and crack in dissimilar media

机译：关于异种介质中奇异性，界面和裂纹的各向异性和各向同性弹性的统一方法

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Proposed in this paper is the equivalence between anisotropic and isotropic elasticity for two-dimensional deformation under certain conditions. That is, the isotropic elasticity can be reconstructed in the same framework of the anisotropic elasticity, when the interface between dissimilar media lies along a straight line. Therefore, many known solutions for an anisotropic bimaterial are valid for a bimaterial, of which one or both of the constituent materials are isotropic. The usefulness of the equivalence is that the solutions for singularities and cracks in an anisotropic/isotropic bimaterial can easily be obtained without solving the boundary value problems directly. The interaction solutions of singularities, interfaces, and cracks in infinite anisotropic bimaterial are summarized, to be used for the cases of isotropic/isotropic and anisotropic/isotropic bimaterials. Conservation integrals also have the similar analogy between anisotropic and isotropic elasticity so that J integral and J-based mutual integral M are expressed in the same complex forms for anisotropic and isotropic materials, when both end points of the integration paths are on the straight interface. The use of J and mu integrals together with the present equivalence are exemplified to obtain energy release rate, stress intensity factors, and T-stresses of interfacial cracks lying in the interface of anisotropic/anisotropic, isotropic/isotropic, or anisotropic/isotropic solids. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 29]
机译：本文提出了在一定条件下二维变形的各向异性和各向同性弹性的等价性。即，当异种介质之间的界面沿直线放置时，可以在各向异性弹性的相同框架中重建各向同性弹性。因此，对于各向异性双材料的许多已知解决方案对于一种双材料是有效的，其中一种或两种组成材料是各向同性的。等价的有用之处在于，可以在不直接解决边值问题的情况下轻松获得各向异性/各向同性双材料中的奇异点和裂纹的解决方案。总结了无限各向异性双材料中奇异性，界面和裂纹的相互作用解，以用于各向同性/各向同性和各向异性/各向同性双材料的情况。守恒积分在各向异性和各向同性弹性之间也具有相似的类比，因此当积分路径的两个端点都在直线界面上时，对于各向异性和各向同性材料，J积分和基于J的互积分M表示为相同的复数形式。举例说明了使用J和mu积分以及当前当量来获得位于各向异性/各向异性，各向同性/各向同性或各向异性/各向同性固体界面上的界面裂纹的能量释放率，应力强度因子和T应力。 （C）2002 Elsevier ScienceLtd。保留所有权利。 [参考：29]

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