局部坐标有限分析法解材料非线性结构问题

TO SOLVE THE PROBLEMS OF STRUCTURES WITH MATERIAL NONLINEARITY BY A FINITE ANALYTIC METHOD IN LOCAL COORDINATES

本文首次将有限分析法应用于分析固体力学中的弹塑性问题,导出了二维全量理论弹塑性边值问题的计算格式。采用了局部坐标变换,使该方法能有效地用于求解某些几何形状较复杂的平面问题。算例表明,这一方法解非线性问题是有效的。

The purpose of this paper is to develop a finite analytic (FA) numerical solution for the elastic-plastic problem of total theory. Schemes of FA method in local coordinates for solving nonlinear governing equations in the form of Navier equations are derived, which can be utilized to solve the problem in a domain of comparatively complicated geometry. Numerical illustration shows that the schemes are effective and practical.