Study of the Equivalent Theorem of Generalized Variational Principles in Elasticity

ZHANG Guo-qing; YU Jian-xing

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ZHANG Guo-qing, YU Jian-xing. Study of the Equivalent Theorem of Generalized Variational Principles in Elasticity[J]. Applied Mathematics and Mechanics, 2004, 25(3): 313-322.

Citation:

ZHANG Guo-qing, YU Jian-xing. Study of the Equivalent Theorem of Generalized Variational Principles in Elasticity[J]. Applied Mathematics and Mechanics, 2004, 25(3): 313-322.

Citation:

ZHANG Guo-qing, YU Jian-xing. Study of the Equivalent Theorem of Generalized Variational Principles in Elasticity[J]. Applied Mathematics and Mechanics, 2004, 25(3): 313-322.

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Study of the Equivalent Theorem of Generalized Variational Principles in Elasticity

Received Date: 2002-12-16
Rev Recd Date: 2003-10-28
Publish Date: 2004-03-15

Abstract

Abstract

The relations of all generalized variational principles in elasticity are studied by employing the invariance theorem of field theory. The infinitesimal scale transformation in field theory was employed to investigate the equivalent theorem. Among the results found particularly interesting are those related to that all generalized variational principles in elasticity are equal to each other. Also studied result is that only two variables are independent in the functionals and the stress-strain relation is the variational constraint condition for all generalized variational principles in elasticity. This work has proven again the conclusion of Prof. Chien Wei-zang.
- elasticity,
- generalized vatiational principle,
- equivalent theorem,
- scale transformation,
- invariance

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References(8)

References

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