| 对H-W原理和H-R原理的重新论证 |
| |
| 引用本文： | 蒋友谅. 对H-W原理和H-R原理的重新论证[J]. 北京工业大学学报, 1992, 18(3): 41-48. |
| |
| 作者姓名： | 蒋友谅 |
| |
| 作者单位： | 北京理工大学 |
| |
| 摘 要： | 分析了弹性体的本关系和能量密度的本性质,在弹性力学最小势能/余能原理的基础上,用Lagrange乘子法重新论证了Hu-Washizu原理/Hellinger-Reissner原理。结果表明:H-W原理要么是乘子待定的三类变量原理,要么是乘子被消的二类变量原理;H-R原理是乘子待定或者乘子被消的二类变量原理。
|
| 关 键 词： | 弹性力学 变分法/Lagrange乘子法 广义变分原理 |
| 收稿时间： | 1991-06-24 |
Re-demonstration for H-W Principle and H-R Principle |
| |
| Jiang Youliang. Re-demonstration for H-W Principle and H-R Principle[J]. Journal of Beijing University of Technology, 1992, 18(3): 41-48. |
| |
| Authors: | Jiang Youliang |
| |
| Affiliation: | Beijing Institute of Technology |
| |
| Abstract: | Basic properties of constitutive relation and densities of energy for the elastic body are analysed.Hu-Washizu principle/Hellinger-Heissner principle is redemonstrated,applying Lagrange multiplier method,based on the principle of minimum potential/complementary energy.The re-demonstration show that H-W principle is a principle either of three-field with undetermined multipliers or of two-field with eliminated multipliers and H-R principle is a two-field principle,the multipliners of which are undertermined or eliminated. |
| |
| Keywords: | theory of elasticity variational method/Lagrange multipliner method generalized variational principle |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《北京工业大学学报》浏览原始摘要信息 |
|
点击此处可从《北京工业大学学报》下载全文 |
