具有双裂纹的弹性复合材料板承受剪切冲击时的动应力强度因子

本文研究了两个材半限弹性的接合面附近存在与接合面平行的双裂纹，并承受剪切冲击时的瞬态应力，运用付里叶（Ｆｏｕｒｉｅｒ）和拉普拉斯（Ｌａｐｌａｃｅ）变换，将问题归结为求解二元积分方程，求解时将裂纹所在面上，下的位移差展成级数，并让其自动满足裂纹面外的位移差为零的条件，利用裂纹面上的边界条件和施密特（Ｓｃｈｍｉｄｔ）方法求解级数中的待定系数，在拉普拉斯像空间中，求得动应力强度因子，并将其数值地逆变换至

DynamicStress Intensity Factors around Two Cracks near an Interface of Two Dissimilar EIastic Half-PIanes under In-plane Shear Impact Load

Transient stresses around two co1linear cracks which 1ie in parallel with the the interface of the two dissmilar half-planes are studied in this article.The surfaces of the cracks are sheared suddenly. Application of the Fourier and La- place transforms techniquo reduces the problem to that of solving dual integralequations.To solve these problems,the differences of the crack surface displacelnents are expanded in a series of functions which are antomatically zero outside ofthe crack The unknown coefficients acccompanied in the series are determined by the Schmidt method. The stress intensity factors are defined in the Laplace transfom domain and these are inverted numerically in the pliysical space. As an example,the dynalnic stress intensity factorsthe around the two cracks in a ceramic and steel bonded composite are calculated numerlcally.