蠕变理论的广义变分原理

Generalized Variational Principles of Creep Theory

基于新型势能率密度和余能率密度的数学形式,应用拉氏乘子法建立了蠕变流动理论的两种三类独立变量函数的广义变分原理。利用组合数学中的匹配观点和规一化方法,根据两种三类独立变量函数的广义变分原理,推导出一系列二类独立变量函数的变分原理及标准型原理,这些广义变分原理为蠕变理论范畴的工程结构问题的近似计算和数值分析,提供了理论基础。

Based on new forms of the densities of potential and complementary energy rate , two kinds of the generalized functionals and the generalized variational principles beloning to three independent argument functions were established with Largrange multiplier method. Making use of match principle in combinatorics and normalization method, we have derived the new forms of the functionals and variational principles belonging to two independent argument functions and standard princinciple from the generalized variational principles.These generalized variational principles are the fundamentals for approximate computation and numerical analyais of the engineering structure in creep theory.