三维电磁固体平片裂纹反对称问题的解法  

SOLUTION METHOD FOR ANTI-SYMMETRIC PROBLEM OF PLANAR CRACKS IN THREE-DIMENSIONAL MAGNETOELECTROELASTIC MEDIA

作　　者：范翠英[1] 杜俊俐[2] 魏星[1] 赵明皞[1] 

机构地区：[1]郑州大学工程力学系 [2]中原工学院计算机科学系,郑州450007

出　　处：《机械强度》2008年第2期283-287,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金(10572131);河南省高校新世纪优秀人才支持计划(HANCET)资助~~

摘　　要：根据三维无限大横观各向同性电磁固体中位于各向同性面内的任意形状平片裂纹的广义不连续位移边界积分方程和相应的弹性体的边界积分方程的相似性,给出反对称载荷作用下电磁固体边界积分方程的一种解法,其中广义不连续位移包括不连续位移、不连续电势和不连续磁势。通过广义不连续位移建立两类问题广义应力强度因子的关系。作为应用,给出受径向点力作用的圆盘裂纹的应力强度因子。Based on the analogy between the extended displacement discontinuity boundary integral equations of transversely isotropic magnetoeleetroelastic media and elastic media, the solution method for a planar crack under anti-symmetric loadings in three-dimensional transversely isotropic magnetoelectroelastic media is presented. The extended displacement discontinuities include the displacement discontinuities, the electric potential discontinuity and the magnetic potential discontinuity. By using the proposed method, the solution and the intensity factors can be obtained directly from those of the corresponding elastic problem. A penny-shaped crack is analyzed to illustrate the application of the method.

关 键 词：电磁固体 广义不连续位移 边界积分方程 强度因子 圆盘裂纹 

分 类 号：TB34[一般工业技术—材料科学与工程] O343.2[理学—固体力学]