Interfacial crack problems in magneto-electroelastic solids
Interfacial crack problems in magneto-electroelastic solids
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DOI：
10.1016/s0020-7225(03)00206-4
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发表时间：
2003-11
影响因子：
6.6
通讯作者：
C. Gao;P. Tong;Tong-Yi Zhang
中科院分区：
文献类型：
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作者：
C. Gao;P. Tong;Tong-Yi Zhang
本文给出了两种不同电磁弹性固体之间导电界面裂纹的显式解析解。利用斯特罗形式，我们首先推导出任意载荷下的一般解，将广义二维问题归结为双弹性各向异性介质中的等效界面裂纹问题，可以用已有的方法求解。利用解析解，我们研究了界面裂纹在远程均布载荷、广义线力和广义线位错作用下的问题。结果表明，裂纹尖端前方存在奇异场和振荡场。裂纹内的电磁场在裂纹尖端具有与固体内的电磁场相似的奇异性。特别地，当在无穷远处施加均匀的力-电-磁载荷时，奇异强度取决于材料性质和机械载荷，而不取决于电磁载荷。
In this paper, we present an explicitly analytic solution for an electrically permeable interface crack between two dissimilar magneto-electroelastic solids. Using the Stroh formalism, we first derive the general solution under arbitrary loads by reducing the generalized 2D problem to an equivalent interface crack problem in two-elastic anisotropic media, which can be solved with well-established methods. With the analytic solution, we then study the interface crack loaded by remote uniform loads, by a generalized line force or/and by a generalized line dislocation. The results show the singular and oscillatory fields ahead of the crack tips. The electric–magnetic field within the crack has a similar singularity at the crack tip as the electric–magnetic field within the solids. In particular, when uniform mechanical–electric–magnetic loads are applied at infinity, the singular intensity depends on the material properties and the mechanical loads, but not on the electric–magnetic loads.