Abstract
A remark about some unreasoning things of Oden’s constitutive variational principle 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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References
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).
Oden, J.T. and J.N. Reddy,Variational Methods in Theoretical Mechanics, 2nd ed., Spring-Verlag, Berlin Springer (1983).
Xing Jing-tang and Zheng Zhao-chang, Some general theorems and generalized and piecegeneralized variational principles for elastodynamics, unpublished research note, Department of Engineering Mechanics Qinghua Univeristy, Beijing, China (1982). (in Chinese)
Xing Jing-tang, Some theoretical and computational aspects of finite element method and substructure-subdomain technique for dynamic analysis of the coupled fluid-solid interaction problems—variational principles for elastodynamics and linear theory of micropolar elasticity with their applications to dynamic analysis, Doctor dissertation submitted to Qinghua University, Beijing, China (1984). (in Chinese)
Xing Jing-tang, A note on the principle of complementary energy for linear elasticity (manuscript), June (1985). (in Chinese)
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Communicated by Hsueh Dah-wei
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Jing-tang, X. A note about Oden’s constitutive variational principle. Appl Math Mech 8, 975–984 (1987). https://doi.org/10.1007/BF02454260
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DOI: https://doi.org/10.1007/BF02454260