功的互等定理和线弹性变分原理
The Reciprocal Theorem and Linear Elastic Variational Principles
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摘要: 本文从功的互等定理系统地导出了线弹性变分原理并且给出了边界条件变化的混合变分原理.Abstract: In this paper classical linear elastic variational principles are systematically derivedfrom the reciprocal theorem and mixed variational principles of variations of boundaryconditions are given.
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[1] 钱伟长、叶开沅,《弹性力学》,科学出版社(1958.10). [2] Washizu,K.,Variational Method in Elasticity and Plastieity(second edition),Pcrgamon Press(1975). [3] 付宝连.构造容许位移的转换边界法,应用数学和力学(待发表).
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