The Functional and Its Variational Principle in Coupled Thermo Elastoplasticity

Cheng He-ming; Wang Hong-gang

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Cheng He-ming, Wang Hong-gang. The Functional and Its Variational Principle in Coupled Thermo Elastoplasticity[J]. Applied Mathematics and Mechanics, 1988, 9(10): 865-870.

Citation:

Cheng He-ming, Wang Hong-gang. The Functional and Its Variational Principle in Coupled Thermo Elastoplasticity[J]. Applied Mathematics and Mechanics, 1988, 9(10): 865-870.

Citation:

Cheng He-ming, Wang Hong-gang. The Functional and Its Variational Principle in Coupled Thermo Elastoplasticity[J]. Applied Mathematics and Mechanics, 1988, 9(10): 865-870.

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The Functional and Its Variational Principle in Coupled Thermo Elastoplasticity

Kunming Institute of Technology, Kunming

Received Date: 1987-08-25
Publish Date: 1988-10-15

Abstract

Abstract

In order to solve the coupled thermoelastoplastic problems by the finite element method, it is necessary to establish suitable functional. In this paper, based on the thermoelastoplastic constitutive relation proposed by K.N. Rysinko and E.I. Blinov^[1], the functional of coupled thermoelastoplasticity is derived by means of the nonlinear functional analysis theory.

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References(5)

References

[1]	Rysinko, K.N. and E.I. Blinov, Analytical description of the thermoelastoplastic deformation of a solid, Sov. Appl. Mech., 17, 11(1981), 985-989.
[2]	杜庆华等编,《弹性力学》,科学出版社(1986).
[3]	Wang Hong-gang, The functional and variational theorem in nonlinear heat conduction, ICNM, Shanghai(1985).
[4]	程赫明、王洪纲,塑性和热弹塑性动力问题的增量泛函及其变分原理,全国第二届计算力学会议论文,上海(1986,8).
[5]	Oden, J.T. and J.N. Reddy, Variational Methods in Theoretical Mechanics, second edition, Berlin lteidelberg, New York(1983).