线弹性微孔材料广义变分原理的构造函数理论
Structural Function Theory of Generalized Variational Principles for Linear Elastic Materials with Voids
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Abstract: In this paper, we have obtained generalized variational principles for linear elastic materials with voids from structural function theory. Correspondent relations between structural functions and generalized variational principles are given.
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Key words:
- structural function /
- void /
- variational principles
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[1] Nunziato,J.W.and S.C.Cowin,A nonlinear of elastic materials with voids,A.R.M.A.,72(1979),175. [2] Cowin,S.C.and J.W.Nunziato,Linear elastic materials with voids,J.Elasticity,13(1983),115. [3] Oden,J.T.and J.N.Reddy,Variational Methods in Theoretical Mechanics,Springer-Verlag,Berlin,Heidelberg,New York(1983). [4] 胡海昌,《弹性力学的变分原理及其应用》,科学出版社(1981). [5] 钱伟民,《广义变分原理》,知识出版社(1985). [6] Jin Li-hua,Generalized variational principles for linear elastic materials with voids,Acta Mechanica Solida Sinica,1,3(1988). [7] 皮道华,线弹性力学广义变分原理的构造函数理论,固体力学学报,10,1(1989).
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