双材料中带均匀本征应变椭球夹杂的弹性场

Elastic Fields in Dissimilar Media Due to a Dilative Ellipsoidal Inclusion

探讨了在两理想结合半无限大体中一带均匀本征应变椭球形夹杂引起的弹性场 .通过体积元素积分得到的调和势函数通过椭圆积分及其导数表示 .在椭球夹杂边界上的法向力、切向力和椭球夹杂内部主轴上的主应力都得到准确的计算 .对于夹杂形状、距界面距离、材料的弹性常数等参数的影响也进行了分析 .

The elastic stress field caused by an ellipsoidal inclusion with uniform dilatational eigenstrains in one of the two perfectly bonded semi-infinite solids was investigated. The solutions are obtained by utilizing the integrating of properly weighted centres of dilatation over the volume occupied by the body. Numerical examples are given to show the normal and tangential stresses along the boundary of the ellipsoidal inclusion and the maximum principle stresses along the major and minor axis in the inclusion which are important to the fracture problems. The effect of the planner interface with parameters of depth from the interface, shapes of the inclusion, both pairs of elastic moduli of the matrix were also given.