A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems

Yin Fuxin; Sun Huanchun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(10): 861-871

Yin Fuxin, Sun Huanchun. A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems[J]. Applied Mathematics and Mechanics, 1995, 16(10): 861-871.

Citation:

Yin Fuxin, Sun Huanchun. A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems[J]. Applied Mathematics and Mechanics, 1995, 16(10): 861-871.

Citation:

Yin Fuxin, Sun Huanchun. A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems[J]. Applied Mathematics and Mechanics, 1995, 16(10): 861-871.

PDF( 644 KB)

A Condensed Method for Linear Complementary Equations of Elasto-Plastic Problems

Department of Engineering Mechanies, Dalian University of Science and Technology, Dahan 116023, P. R. China

Received Date: 1994-07-25
Publish Date: 1995-10-15

Abstract

Abstract

This paper presents a condensed method for linear complementary equations of elasto-plastic problems derived from the variational inequations The present method cuts down computing time enormously and greatly promotes the efficiency of the elasto-plastic analvsis for large scale structures.
- variational inequations,
- elasto-plasticity,
- linear complementaryequations,
- Lemke algorithm

FullText(HTML)

References(7)

References

[1]	Sha Desong,Sun Huanchun,Zhang Zongding and Yin Fuxin,A variational inequality principle in solid mechanics and application in problems,Communications in Applied Numerical Methods.physically nonlinear 6(1990),35-45.
[2]	孙焕纯,自由一移动边界问题发展概况及其一类虚能量不等式和弱解.山东工程学院学报,5(2)(1991).
[3]	张柔雷等,参变量最小势能原理的有限元参数二次规划解,计算结构力学及其应用,4(1)(1987),1-11.
[4]	任其全.弹塑性有限元分析的凝缩法,航空学报,6(6)(1985),590- 596.
[5]	陈铁云等.矩阵更新法在平面应力问题弹一塑性有限元分析中的应用,上海力学.3(2)(1982),1-16.
[6]	Y,Yamada,et.al.,Plastic stress-strain matrix snd its application for the solution of elastic-plastic problems by the finite element method,Int,I Mech,Sci.,10(1968),348-354.
[7]	G,Duvaut and J.L.Lions,Les Inequatsons en Mecanique et en Physique,王耀东译.《力学和物理学中的变分不等方程》.科学出版社(1987).