BOUNDARY VALUE PROBLEMS OF TWO-DIMENSIONAL ANISOTROPIC BODY WITH A PARABOLIC BOUNDARY
BOUNDARY VALUE PROBLEMS OF TWO-DIMENSIONAL ANISOTROPIC BODY WITH A PARABOLIC BOUNDARY作者机构:Department of Mechanics Huazhong Univ. of Sci. and Technol. Wuhan 430074
出 版 物:《Acta Mechanica Solida Sinica》 (固体力学学报(英文版))
年 卷 期:1996年第9卷第2期
页 面:139-150页
核心收录:
学科分类:08[工学] 080104[工学-工程力学] 0801[工学-力学(可授工学、理学学位)]
主 题:Stroh formalism eigenvalue stress intensity factor
摘 要:Based upon Stroh formalism we derive a novel and convenient scheme for determining the elastic fields of a two-dimensional anisotropic body with a parabolic boundary subject to two kinds of boundary conditions, which are free surface and rigid surface, respectively. The corresponding Green s functions are found by using the conformal mapping method. When the parabolic curve degenerates into a half-infinite crack or rigid inclusion, the singular stress fields near the tip of defects ark obtained. In particular, those Green s functions for a concentrated moment M(0) applied at a point on the parabolic curve are also studied. It is easily found that arbitrary parabolic boundary value problems can be solved by using these Green s functions and associate integrals.