Oden本构关系变分原理的注记
A Note about Oden’s Constitutive Variational Principle
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摘要: 文中评述了Oden[1]所给本构关系变分原理,说明了其欠妥性。按照Oden的思想,给出了另外两种互余的本构关系的变分原理。通过简例,说明了本构关系变分原理的应用。Abstract: A remark about some unreasoning things of Oden's constitutive variationalprinciple described in Ref. [1] is given in this paper. According to Oden's idea, the other two constitutive variational principles, which are complementary to one another, are developed. An example is performed to demonstrate the application of the constitutive variational principles.
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[1] Oden,J.T.,The classical variational principles of mechanics. Energy Methods in Finite Element Analysis,Ed.by R.Glowinski et al.,John Wiley and Sons Ltd(1979). [2] Oden,J.T.and J.N. Reddy.Variational Methods in Theoretical Mechanics,2nd ed.,Spring-Veriag,Berlin Springer(1983). [3] 邢京堂、郑兆昌,弹性动力学的某些一般定理及广义与广义分区变分原理,中国力学学会计算结构动力学学术讨论会论文,重庆,1982年12月(清华大学工程力学系,1982年9月). [4] 邢京堂,流固藕合振动分析的有限元与子结构一子区域方法的理论及数值计算研究—弹性动力学与微极线弹性动力学的变分原理及其在振动分析中的应用,清华大学博士论文(1984). [5] 邢京堂,线弹性静力学余能原理的一个注记(1985,6),(待发表). -
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