各向异性复合材料周期性Ⅱ型裂纹尖端应力分析

摘要

对各向异性复合材料板的周期性Ⅱ型裂纹尖端应力场进行了有关的力学分析,通过求解一类线性偏微分方程的边值问题,引入Westergaard应力函数、采用复变函数方法及待定系数法,给出在无穷远处受对称载荷τ作用下,周期性Ⅱ型裂纹尖端的应力强度因子,推出了各向异性复合材料板周期性Ⅱ型裂纹尖端附近应力场的理论计算公式。%The stress fields near Mode-Ⅱ periodic cracks tip of anisotropic composite materials were analyzed.The boundary value problem of one kind of partial differential equation was solved.The stress intensity factors at the crack tip for mode Ⅱ periodic cracks were presented under symmetric loading by introducing Westergaard＇s stress function and using complex function method and the approach of undetermined coefficients.The theoretical formulae for computing stress field of mode II periodic crack tips were obtained.