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考虑损伤累积的热弹塑性问题变分原理及其有限元方法
引用本文:曹文衔 沈祖炎. 考虑损伤累积的热弹塑性问题变分原理及其有限元方法[J]. 力学季刊, 1996, 17(4): 271-277
作者姓名:曹文衔 沈祖炎
作者单位:同济大学(曹文衔,沈祖炎),同济大学(董宝)
基金项目:国家科委攀登(B)计划资助项目
摘    要:
本文基于连续介质损伤力学中有效应力的概念,研究建筑结构抗火分析中遇到的热弹塑性问题与损伤的耦合,并运用参变量变分原理,建立起用于热弹塑性损伤问题结构分析的变分原理。本文给出了原理应用的有限元列式。具有明确的物理意义,表达形式规范,便于数值手段实现。

关 键 词:热弹塑性 损伤累积 变分原理 有限元

A VARIATIONAL PRINCIPLE AND ITS FEM IMPLEMENTATION FOR AN ELASTO-PLASTICITY THERMAL PROBLEM WITH DAMAGE CUMULATION
Cao Wenxian Shen Zuyan Dong Bao. A VARIATIONAL PRINCIPLE AND ITS FEM IMPLEMENTATION FOR AN ELASTO-PLASTICITY THERMAL PROBLEM WITH DAMAGE CUMULATION[J]. Chinese Quarterly Mechanics, 1996, 17(4): 271-277
Authors:Cao Wenxian Shen Zuyan Dong Bao
Abstract:
This paper presents a research report of an elasto-plasticity thermal problem coupling with damage cumulation which occurs in analysing the fire resistant behavior of a building strucrure. Relying upon the parametric variational principle, a variational principle and its FEM implementation for an elasto-plastcity thermal problem with damage cumulation is proposed. This proposed principle posseses clear physical meaning and is in standard formulation such that it is feasible for numerical application.
Keywords:effective stress   thermal elasto-plasticity   damage cumulation   vanational principle  FEM.  
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