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Elastostatic problems of crack lying along the interface of an elliptical inclusion embedded in elastic media
Mechanics of Advanced Materials and Structures ( IF 2.8 ) Pub Date : 2021-08-24 , DOI: 10.1080/15376494.2021.1963508
Xuefei Yang 1
Affiliation  

Abstract

The problems of an elliptical arc crack lying along the interface of an anisotropic inclusion are considered in this article. By means of the complex series expansion of the stress functions, the related coefficients in the stress functions are obtained using the continuity condition for the stresses at the imperfect interface and using equilibrium condition based on relationships of stresses and displacements at the imperfect interface between matrix and inclusion. The displacements and stresses at the interface in the matrix and in the inclusion can be calculated. The imperfection at the interface between matrix and inclusion is expressed by the Fourier series, which can be used to represent the crack lying along the interface and the perfect interface. The method presented in this article can be used to analyze the problems of crack, inclusion, and hole in the anisotropic materials due to separate or combined effect of eigenstrains and far-field tension.



中文翻译:

弹性介质中椭圆夹杂物界面裂纹的弹性静力学问题

摘要

本文考虑了沿各向异性夹杂物界面的椭圆弧裂纹问题。通过应力函数的复级数展开,利用非缺陷界面应力的连续性条件和基于基体和非缺陷界面应力位移关系的平衡条件,得到应力函数中的相关系数。包容。可以计算基体和夹杂物界面处的位移和应力。基体与夹杂物界面处的缺陷用傅立叶级数表示,可用于表示沿界面的裂纹和完美界面。本文介绍的方法可用于分析裂纹、夹杂、

更新日期:2021-08-25
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