轴对称夹杂问题的弹性解

Elastic Solutions of Axisymmetric Inclusion

本文通过引进三变量复函数,并利用其性质和弹性力学胡海昌解,推寻出空间弹性力学中以三变量复函数表示的通解。在轴对称情况下,此解可以由勒让德函数所表示。通过在所夹杂的体内部分别离散地和连续地配置球形奇点,从而可以得到关于轴对称夹杂问题的弹性场,同时也给出了计算该问题的模型。

This paper derived an general elastic solutions with the aid of three - dimensional complex functions and elastic Hu Haichang complete solution. Under axisymmetric condition, the solution can be represented by Legendre functions. Placeing discrete and continuous spherical singularities, elastic solutions of axisymmetric inclusion were obtained.