Mode III edge-crack in magneto-electro-elastic media by symplectic expansion
Mode III edge-crack in magneto-electro-elastic media by symplectic expansion
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DOI：
10.1016/j.engfracmech.2010.07.016
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发表时间：
2010-11
影响因子：
5.4
通讯作者：
Zhenhuan Zhou;Xinsheng Xu;A. Leung
中科院分区：
文献类型：
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作者：
Zhenhuan Zhou;Xinsheng Xu;A. Leung
利用辛展开的分析方法，在一般边界条件下求解了边裂纹圆形电磁弹性介质的问题。建立了一个辛系统，使这些未知量展开的辛本征函数。特征函数级数的系数由沿着裂纹面的侧边界条件和沿沿着几何域的外边界条件确定。对裂纹附近的应力强度、电位移和磁感应强度进行了评估，这将有助于评估结构的完整性。给出了包括复杂混合边界条件在内的数值算例。
An analytical method using symplectic expansion is introduced to find the solutions of edge-cracked circular magneto-electro-elastic media to handle general boundary conditions. A symplectic system is established so that these unknowns are expanded in terms of the symplectic eigenfunctions. The coefficients of the eigenfunctions series are determined from the lateral boundary conditions along the crack faces and the outer boundary conditions along the geometric domain. The evaluation of the intensity of stress, electric displacement and magnetic induction near the crack is processed and it will be useful for assessing the structural integrity. Numerical examples including the complex mixed boundary conditions are given.