弹塑性平面问题的摄动应力边界单元法

来源期刊：中南大学学报(自然科学版)1993年第6期

论文作者：陈广霞 左铁镛 肖景容

文章页码：794 - 800

关键词：应力法; 摄动基本解; 摄动积分方程

Key words：the stress method; perturbational foundamental solutions; perturbational integal equations

摘    要：本文提出了弹塑性平面问题的摄动应力边界单元法。文中首先将平面弹塑性问题所涉及的所有方程和边界条件无量纲化,然后提出问题的小参数,利用摄动法将物理非线性问题转化为一系列的线性问题。针对转换后的线性问题用应力函数所表示的相容方程,在应力函数的基本解及调和算子基本解的基础上,建立问题的边界积分方程,最后离散求解获得了满意的结果。

Abstract: In this paper, the Perturbational Boundary Element Method based on stress for solvingplant elastoplastic problems is proposed. The basic equations of a plant elastoplastic prob-lems are changed into the nondimentional equations. By using the non-dimentional equationsand the stress method, the perturbational foundament solutions and the perturbationalboundary integal equations are derived. It is suitable for stress boundary problems. The numerical results are obtained.