广义倒易定理及其应用

基金项目: 塑性成形模拟及模具技术国家重点实验室资助项目(991-6)

Generalized Reciprocal Theorems and Their Applications

Department of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, P R China

摘要: 推广Betti倒易定理的概念,建立了非耦联系统和耦联系统的广义倒易定理,它们适用于具有不同本构关系的两个变形体。当该两变形体的本构关系相同且为线弹性时,该非耦联系统的广义倒易定理即成为Betti倒易定理。同时,应用该两个广义倒易定理于弹性力学中的模拟计算。
- 倒易定理 /
- 广义倒易定理 /
- 非耦联系统 /
- 耦联系统
Abstract: Generalized reciprocal theorems of non-coupled and coupled systems, which are valid for two deformed bodies with different constitutive relations are established by generalizing the idea of Betti's reciprocal theorem. When the constitutive relations of the two deformed bodies are all alike and linear elastic, the generalized reciprocal theorem of non-coupled systems just becomes Betti's. Meanwhile, the generalized reciprocal theorems are applied to simulate calculations in elasticity.
- reciprocal theorem /
- generalized reciprocal theorem /
- non-coupled system /
- coupled system

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