层体边界元法在二维层体断裂分析中的应用

BOUNDARY ELEMENT ANALYSIS OF CRACK PROBLEMS IN FINITE 2-D MULTILAYERED COMPOSITE 1)

摘要

摘要:在刚度矩阵法的基础上建立了用于进行二维多层体结构断裂分析的边界单元法（ＢＥＭＬＭ）由于ＢＥＭＬＭ的基本方程中已经包含了层体表面和裂纹缝面的边界条件，因而不需要对这些边界进行单元离散，从而其断裂分析可望有较好的精度通过与柯西积分方程法进行结合，算例表明ＢＥＭＬＭ是可靠并有效的

Abstract:On the basis of Stiffness Matrix Method (SMM), a boundary element method to 2-D layered media (BEMLM) is developed in this paper to the crack analysis problems in layered elastic media By way of introducing additional interfaces together with its dislocation connecting conditions, SMM can be modified to include unit concentrated dislocations in its basic stiffness relations, which can be served as fundamental solutions to the layered media These fundamental solutions are given either in explicit form as...