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。
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.
出处
《北京工业大学学报》
CAS
CSCD
1992年第3期41-48,共8页
Journal of Beijing University of Technology
关键词
弹性力学
H-W原理
H-R原理
theory of elasticity,variational method/Lagrange multipliner method,generalized variational principle
