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 multipliers determined by the results of variation. The generalized sub-region mixed and hybrid variational principle in nonlinear elastodynamics is presented.
generalized variational principle, nonlinearelastodynamics, sub-region mixed and hybrid variational principle
237-243
Zheng, Zhao-Chang
aba88e3d-fa5f-48bf-bccf-6aa5cee07d29
Xing, Jing-Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
1990
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), .
(doi:10.1007/BF02207582).
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 multipliers determined by the results of variation. The generalized sub-region mixed and hybrid variational principle in nonlinear elastodynamics is presented.
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Published date: 1990
Keywords:
generalized variational principle, nonlinearelastodynamics, sub-region mixed and hybrid variational principle
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Local EPrints ID: 22156
URI: http://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: 15 Mar 2024 06:35
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Author:
Zhao-Chang Zheng
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