| 大变形非线性弹性力学的广义变分原理 |
| |
| 引用本文： | 薛大为. 大变形非线性弹性力学的广义变分原理[J]. 应用数学和力学, 1991, 12(3): 209-218 |
| |
| 作者姓名： | 薛大为 |
| |
| 作者单位： | 北京理工大学 |
| |
| 摘 要： | 本文导出了大变形非线性弹性力学的两个具有σij,eij,和ui三类独立变量的广义变分原理,证明了当应力应变关系为约束条件时这两个广义变分原理是等价的.文中对某些特例也作了阐明.
|
| 关 键 词： | 大变形 非线性弹性力学 广义变分原理 三类独立变量 |
| 收稿时间： | 1990-04-17 |
Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements |
| |
| Hsueh Dah-wei. Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements[J]. Applied Mathematics and Mechanics, 1991, 12(3): 209-218 |
| |
| Authors: | Hsueh Dah-wei |
| |
| Affiliation: | Beijing Institute of Technology, Beijing |
| |
| Abstract: | Two generalized variational principles on nonlinear theory of elasticity with finite displacements in which the σiji eij and ui are all three kinds of independent functions are suggested in this paper. It is provedthat these two generalized variational principles are equivalent to each other if the stress-strain relation is satisfied as constraint. Some special cases, i.e. generalized variational principles on nonlinear theory of elasticity with small deformation, on linear theory with finite deformation and on linear theory with small deformation together with the corresponding equivalent theorems are also obtained. All of them are related to the three kinds of independent variables. |
| |
| Keywords: | finite displaceinent nonlinear theory of elasticity generalized variational principle three kinds of independent variables |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
