关于轴对称问题的应力函数和位移通解

Stress Functions and General Solutions of Displacement for Axisymmetric Elasticity Problems

首先从轴对称应力平衡方程入手，推导出一组新的应力函数；其次，再结合物理、几何方程进一步推导出一个有别于Ｍｉｃｈｅｌ，Ｌｏｖｅ，Ｂｏｕｓｉｎｅｓｑ及Ｔｉｍｐｅ等等的位移通解．

In this paper,a set of new stress functions are derived from the axisymmetric stress equilibrium equations.Then a displacement general solutions is given which is different from Michell,Love,Boussinesq and Timpe solutions by combining the new functions with stress strain and strain displacement equations.