各向异性材料动态裂纹扩展特性和动态应力强度因子  

Dynamic Stress Intensity Factor and Dynamic Crack Propagation Characteristics of Anisotropic Material

作　　者：高鑫[1] 王汉功[1] 康兴无[1] 

机构地区：[1]西安高技术研究所501室,西安灞桥710025

出　　处：《应用数学和力学》2008年第9期1017-1027,共11页Applied Mathematics and Mechanics

摘　　要：基于各向异性材料力学,研究了无限大各向异性材料中Ⅲ型裂纹的动态扩展问题.裂纹尖端的应力和位移被表示为解析函数的形式,解析函数可以表达为幂级数的形式,幂级数的系数由边界条件确定.确定了Ⅲ型裂纹的动态应力强度因子的表达式,得到了裂纹尖端的应力分量、应变分量和位移分量.裂纹扩展特性由裂纹扩展速度M和参数alpha反映,裂纹扩展越快,裂纹尖端的应力分量和位移分量越大;参数alpha对裂纹尖端的应力分量和位移分量有重要影响.Based on mechanics of anisotropic material, the dynamic propagation problem of mode Ⅲ crack in an infinite anisotropic body is investigated. The stresses and displacements around the crack tip were expressed as analytical complex function, which can be represented in power series. The constant coefficients of the series are determined by boundary conditions. The expression of dynamic stress intensity factors for mode Ⅲ crack was obtained, and the dynamic stress components, strain components and dynamic displacement components around the crack tip were derived. The crack propagation characteristics were represented with mechanical properties of anisotropic material, crack speeds M and parameters alpha. The faster the crack velocity, the greater the maximum of stress components and dynamic displacement components around crack tip. The parameters alpha particu-larly affect the stress components and dynamic displacement components around crack tip.

关 键 词：动态 应力强度因子 裂纹扩展 各向异性 

分 类 号：O346[理学—固体力学]