含椭圆夹杂的各向异性弹性体的二维变形问题

TWO-DIMENSIONAL PROBLEMS OF THE ANISOTROPIC ELASTIC SOLID WITH AN ELLIPTIC INCLUSION

文章研究了含椭圆夹杂的各向异性体的二维变形问题，通过Ｓｔｒｏｈ方法及积分方程法确定了介质及夹杂的弹性场。并在此基础上着重分析了受多项式荷载作用的二维介质的平衡问题，证明了夹杂内部的应力应变场能表示成坐标的同阶多项式形式，以二次多项式荷载为例，获得了夹杂周围介质内的应力扰动现象及环向应力分布。

The two-dimensional problem of an anisotropic elastic solid with an elliptic in-clusion subjected to polynomial loading at infinity is examined.The elastic fields throughout the material are determined throiigh Stroh’s formalism and the integral equation method. Based upon the above results two special examples,with leadings applied at infinity in the form of polynomials of degree 2 in x_1 and x_2,are studied and the hoop stress distribution around the elliptic boundary is obtained.