关键词: 解析解, 双调和方程, 新应力函数, 应力

Abstract: An analytical solution is derived for the sine stress distribution in a hollow circular cylinder with inner radius a and outer radius b. The solution of the problem of stress distribution symmetrical about an axis is obtained by using a new stress function. And the limit of the pressures that isn’t varied about an axis distributed in a hollow circular cylinder is derived. It is the well-known lame’s formulas for the stresses in a hollow circular cylinder subjected to uniform pressures.

Key words: Analytic solution, Biharmonic equation, New stress function, Stress