纤维增强复合材料的轴对称横向裂纹分析  

TRANSVERSELY AXISYMMETR IC CRACKS IN FIBER REINFORCED COMPOSITES

作　　者：王清[1,2] 嵇醒[1,2] 王远功 

机构地区：[1]山东工业大学材料工程系 [2]同济大学工程力学系

出　　处：《固体力学学报》1999年第2期129-134,共6页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金

摘　　要：从弹性力学通解出发，借助积分变换将纤维和基体内的位移场和应力场表示成以裂纹面上位错函数为未知量的积分形式．由边界条件将纤维增强复合材料三维轴对称裂纹问题化成求解一组奇异积分方程的问题．应用奇异积分方程理论分析了裂纹尖端的应力奇异特性，确定了各种不同裂纹问题的奇异性指数．通过对奇异积分方程组的数值求解，计算了各种不同裂纹尖端的应力强度因子．From the genera l solution of elastic mechanics pr oblems, the displacement and stres s fields in the fiber and matrix a re expressed in integral forms in terms of the unknown dislocation f unctions on the crack surfaces wit h the aid of integral transformati on technique. The axisymmetric cra ck problems of composites are redu ced to a system of singular integr al equations using the boundary co nditions and continuity conditions on the interface. The stress singu larity at the crack tip is analyz ed using the Muskhelishvili’s theo ry on the singular integral equati ons. The stress singularity indexe s have been calculated for the var ious crack configurations. Stress intensity factors have been calcul ated for the various crack configu rations by numerically solving the singular integral equations.

关 键 词：纤维增强 复合材料 应力强度因子 裂纹分析 

分 类 号：TB33[一般工业技术—材料科学与工程] O346.1[理学—固体力学]