基于参变量变分原理的非均质多边形微结构材料弹塑性分析  

Parametric Variational Principle Based Elastic-Plastic Analysis of Heterogeneous Materials with Polygonal Elements

作　　者：王辉[1] 张洪武[1] 

机构地区：[1]大连理工大学,大连116024

出　　处：《应用力学学报》2007年第1期11-15,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金与创新群体基金(10225212;10421002;10332010);长江学者和创新团队发展计划;国家基础性发展规划项目(2005CB321704)

摘　　要：为了更好地模拟复合材料及含夹杂非均质材料等的宏观弹塑性力学性能,简化有限元建模时间和减少有限元模拟计算量。本文基于参变量变分原理,提出了一种采用任意多边形弹塑性单元进行结构非线性分析的参数二次规划算法,给出了参变量最小势能原理以及最终的二次规划模型,并在有限元分析与优化设计软件系统JIFEX上进行了程序实现。数值算例证明了本文方法的正确与可行性。An polygonal element method based on the parametric variational principle is developed for the elastic-plastic analysis of heterogeneous materials.The parametric minimum potential energy principle is proposed and the corresponding quadratic programming method for the polygonal element is deduced from the energy functional and the state equations.The software system JIFEX is adopted for the implementation of the finite element model.Numerical examples are presented and the results are compared with those obtained from the competing methods to demonstrate the validity and effectiveness of the method.

关 键 词：任意多边形单元 参变量变分原理 二次规划算法 

分 类 号：O344.3[理学—固体力学]