含椭圆夹杂平板受单轴拉伸载荷作用的复势解

Complex Potential of Plates with the Elliptical Inclustions under Uniaxial Tensile

运用Muskhelishvili复势理论,采用级数法推导了单向拉伸状态下含有椭圆夹杂的均匀无限大平板的基本解;根据界面上应力和位移的连续条件,得到了单向拉伸状态下含有椭圆夹杂的无限大平板的复势解。

The fundamental solutions for an infinite plate with an elliptical inclusion under uniaxial tensile stress are deduced by using the Muskhelishvili'complex potential theory and progression method. Based on the continuous conditions of stress and displacement on the boundary surface,complex potential solutions for an uniform infinite plate with an elliptical inclusion under pulling stress are obtained in this paper.