带任意裂纹的弹性半平面基本问题  

Fundamental Problem of Elastic Half-plane with Arbitrary Cracks

作　　者：黄民海[1] 孔德清[2] 曾红云[3] 

机构地区：[1]肇庆学院数学系,广东肇庆526061 [2]肇庆学院物理系,广东肇庆526061 [3]湘潭大学数学系,湖南湘潭411105

出　　处：《华南理工大学学报（自然科学版）》2003年第8期50-52,共3页Journal of South China University of Technology(Natural Science Edition)

基　　金：广东省自然科学基金资助项目 (0 10 4 4 6 )

摘　　要：给出了带任意裂纹的各向同性弹性半平面基本问题的一种新提法 ,通过适当的函数分解和消元方法 ,将问题转化为求解裂纹上的Riemann Hilbert边值问题 ,得到了弹性体应力函数封闭形式的积分表达式 。A new formulation is provided for the fundamental problem of elastic half-plane with arbitrary cracks. By using proper decomposition of the functions and elimination, the problem is reduced to Riemann-Hilbert's boundary value problem on cracks. The stress functions of elastic body are obtained in closed form of integral expression and the stress intensity factors on the tip of cracks are also derived.

关 键 词：裂纹 Riemann—Hilbert边值问题 应力强度因子 

分 类 号：O346.1[理学—固体力学]