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首页> 外文期刊>International Journal of Fracture >Analysis of symmetric and skew-symmetric weight functions for a semi-infinite interfacial crack in transversely isotropic piezoelectric bimaterials
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Analysis of symmetric and skew-symmetric weight functions for a semi-infinite interfacial crack in transversely isotropic piezoelectric bimaterials

机译：横观各向同性压电双材料中半无限界面裂纹的对称和倾斜对称权函数分析

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摘要

This paper presents an analysis of symmetric and skew-symmetric weight functions for in-plane interfacial crack problems in piezoelectric bimaterials. The symmetric weight function matrix is obtained by means of the solution of a Wiener-Hopf functional equation and the skew-symmetric weight function matrix is developed by the construction of a corresponding full field solution. The explicit expressions for the symmetric and skew-symmetric weight functions are given and applied to in-plane deformation problems for a semi-infinite crack between two dissimilar piezoelectric materials. The validity of the present method in the determination of the field intensity factors is demonstrated by illustrative examples, in which both piezoelectric bimaterials and piezoelectric/elastic bimaterials are considered. It is shown that, for the present interfacial crack problem, both symmetric and skew-symmetric weight function matrices are necessary in the general integral formula for the evaluation of field intensity factors, and that the contribution of the skew-symmetric element of the applied load is not negligible in fracture analysis.
机译：本文针对压电双材料中的平面内界面裂纹问题，对对称和偏斜对称权函数进行了分析。通过维纳-霍普夫方程的解获得对称权函数矩阵，并通过建立相应的全场解来建立偏对称权函数矩阵。给出了对称和倾斜对称权函数的明确表达式，并将其应用于两种不同压电材料之间的半无限裂纹的面内变形问题。通过示例性实例证明了本方法在确定场强因子中的有效性，其中示例性地考虑了压电双材料和压电/弹性双材料。结果表明，对于当前的界面裂纹问题，在用于评估场强因子的通用积分公式中，对称和倾斜对称的权函数矩阵都是必需的，并且倾斜对称元素对施加载荷的贡献在断裂分析中不可忽略。

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