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Generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics

Generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics
Generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics
In this paper, the Hu-Washizu generalized variational principle is extended to nonlinear elastodynamics with five independent fields. The two kinds of framework of functional, the potential energy and complementary energy expressions containing the subsidiary conditions with Lagrange multipliers are suggested. According to the principle of stationary functional, we have the governing equations and Lagrange multipliersdetermened by the results of variation. The generalized sub-region mixed andhybrid variational principle in nonlinear elastodynamics is presented.
generalized variational principle, nonlinearelastodynamics, sub-region mixed and hybrid variational principle
0894-9166
237-243
Zheng, Zhao-Chang
aba88e3d-fa5f-48bf-bccf-6aa5cee07d29
Xing, Jing-Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Zheng, Zhao-Chang
aba88e3d-fa5f-48bf-bccf-6aa5cee07d29
Xing, Jing-Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce

Zheng, Zhao-Chang and Xing, Jing-Tang (1990) Generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics. Acta Mechanica Solida Sinica, 3 (2), 237-243. (doi:10.1007/BF02207582).

Record type: Article

Abstract

In this paper, the Hu-Washizu generalized variational principle is extended to nonlinear elastodynamics with five independent fields. The two kinds of framework of functional, the potential energy and complementary energy expressions containing the subsidiary conditions with Lagrange multipliers are suggested. According to the principle of stationary functional, we have the governing equations and Lagrange multipliersdetermened by the results of variation. The generalized sub-region mixed andhybrid variational principle in nonlinear elastodynamics is presented.

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More information

Published date: 1990
Keywords: generalized variational principle, nonlinearelastodynamics, sub-region mixed and hybrid variational principle

Identifiers

Local EPrints ID: 22156
URI: https://eprints.soton.ac.uk/id/eprint/22156
ISSN: 0894-9166
PURE UUID: 8da3c1e2-5799-45d8-a331-45213db54dd3

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Date deposited: 29 Jan 2007
Last modified: 17 Jul 2017 16:23

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Contributors

Author: Zhao-Chang Zheng
Author: Jing-Tang Xing

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