Abstract
In this paper, an unified elastic-viscosic-plastic theory which can compute the change of elastic, viscosic and plastic state of each point in the body is proposed. The theory is based on the laws of thermodynamics and the pseudo elastic postulate. In the paper, the constitutive equations and variational principles are deduced. From which, the finite element method of both space and time may be easily formulated. Note that, by choosing the material parameters properly, the plastic constitutive equations currently used may be given.
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References
Washizu Kyuichiro,Variational Methods in Elasticity and Plasticity[M]. Pergamon Press Ltd, 1975
Eringen A C, Suhubi E S.Elastodynamics Vol. 1 [M]. New York and London: Advanced Press, 1974
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Communicated by He Fubao
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Wenlu, J. The unified elastic-viscosic-plastic theory of solids. Appl Math Mech 20, 254–261 (1999). https://doi.org/10.1007/BF02463850
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DOI: https://doi.org/10.1007/BF02463850