Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements

Hsueh Dah-wei

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Hsueh Dah-wei. Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements[J]. Applied Mathematics and Mechanics, 1991, 12(3): 209-218.

Citation:

Hsueh Dah-wei. Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements[J]. Applied Mathematics and Mechanics, 1991, 12(3): 209-218.

Citation:

Hsueh Dah-wei. Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements[J]. Applied Mathematics and Mechanics, 1991, 12(3): 209-218.

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Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements

Hsueh Dah-wei

Beijing Institute of Technology, Beijing

Received Date: 1990-04-17
Publish Date: 1991-03-15

Abstract

Abstract

Two generalized variational principles on nonlinear theory of elasticity with finite displacements in which the σ_ij_i e_ij and u_i are all three kinds of independent functions are suggested in this paper. It is provedthat these two generalized variational principles are equivalent to each other if the stress-strain relation is satisfied as constraint. Some special cases, i.e. generalized variational principles on nonlinear theory of elasticity with small deformation, on linear theory with finite deformation and on linear theory with small deformation together with the corresponding equivalent theorems are also obtained. All of them are related to the three kinds of independent variables.
- finite displacement,
- nonlinear theory of elasticity,
- generalized variational principle,
- three kinds of independent variables

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References(9)

References

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