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拉压不同模量材料的参变量变分原理和有限元方法

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Indexed by:期刊论文

Date of Publication:2012-01-01

Journal:工程力学

Included Journals:Scopus、EI、PKU、ISTIC、CSCD

Volume:29

Issue:8

Page Number:22

ISSN No.:1000-4750

Key Words:拉压不同; 非线性; 参变量变分原理; 互补问题; 有限元

Abstract:对具有拉伸和压缩不同模量的材料,建立了平面静力问题的参变量变分原理。基于参变量变分原理,并结合有限元方法,将拉压不同模量平面问题转化为互补问题求
   解。经典的Lemke算法被用于求解此互补问题。该方法避免了应力状态的假设和刚度矩阵的更新,算法稳定,且收敛速度快。

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