近似不可压缩固体弹塑性有限元分析

近似不可压缩固体弹塑性有限元分析 A FINITE ELEMENT METHOD FOR ELASTIC-PLASTIC ANALYSIS OF INCOMPRESSIBLE SOLIDS 叶碧泉 Ye Biquan first-author 对于μ→0.5的近似不可压缩固体结构,用常规有限元分析遇到了困难。本文对刚度矩阵进行适当分解后,再利用简化积分的思想和方法,就可回避上面的困难。这一算法不仅简单、方便,而且对二维、三维、线性和非线性结构问题都适用。 As poisson’s ratio μ equ. or approaches 0.5, elastic matrix D become indefinite. So regular finite element method become inappliable. We transform stiffness matrix into k 1 +ak 2 （as μ→0.5, a→∞）, and then, use regular Gauss integration for k 1 and reduced integration for k 2 . This method not only can be applied to two dimensions but also to three dimensions. It can be used for elastic as well as for plastic problems. 有限单元法 不可压缩固体 简化积分 高斯积分 刚度矩 阵奇异性 非线性分析 1987-02-01 2021-04-01 2