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新的非线性广义变分原理
引用本文:蒋友谅.新的非线性广义变分原理[J].新疆大学学报(理工版),1991,8(4):56-62.
作者姓名:蒋友谅
作者单位:北京理工大学
摘    要:本文给出了非线性弹性理论最小势能/驻值余能原理一种新的提法,并在这种提法的基础上,用线性Lagrange乘子法,解除包括非线性应力-应变关系在内的全部变分约束条件,建立了新的非线性弹性理论三类变量广义势能/余能原理。

关 键 词:非线性弹性理论  Lagrange乘子法  广义变分原理

New Nonlinear Generalized Variational Principles
Jiang Youliang.New Nonlinear Generalized Variational Principles[J].Journal of Xinjiang University(Science & Engineering),1991,8(4):56-62.
Authors:Jiang Youliang
Institution:Beijjng Institute of Technology
Abstract:In this paper, a new proposition of principle of minimum potential/stationary complementary energy for nonlinear elasticity is given. And based on this new proposition, a new three field generalized potenital/complementary principle for nonlinear elasticity is established by applying linear Lagrange multiplier method to relax all variational constraint conditions including nonlinear stressstrain relation.
Keywords:nonlinear elasticity  Lagrange multiplier method  generalized variational principle
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