Study on Parametric Variational Principles in Elasticity

Shou Yi Xue

doi:10.4028/www.scientific.net/AMM.501-504.2475

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 501-504Study on Parametric Variational Principles in...

Study on Parametric Variational Principles in Elasticity

Abstract:

A parametric variational principle is deduced according to the equivalent integral form of all the controlling equations and boundary conditions in elasticity, and by adjusting the parameters, all kinds of variational principles put forward past and some new variational principles can be gained, which means that the method above is more clear in concept, and more concise.

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Periodical:

Applied Mechanics and Materials (Volumes 501-504)

Pages:

2475-2478

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.501-504.2475

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Online since:

January 2014

Authors:

Shou Yi Xue

Keywords:

Elasticity, Parametric Variational Principle, Variational Principle

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References

[1] Y.Q. Long. Several Patterns of Functional Transformation and Generalized Variational Principles With Several Arbitrary Parameters, Inter. Jour. of Solids & Stru., 1986, 22: 1059-1069.

DOI: 10.1016/0020-7683(86)90017-x

Google Scholar

[2] S.K. Liu and Z. X. Jiang. General Form of Generalized Variational Principle in Elasticity, Communications in Applied Numerical Methods, 1988, 4: 749-760.

DOI: 10.1002/cnm.1630040608

Google Scholar

[3] T.Y. Rong. Parametrized Lagrange Multiplier Method and Construction of Generalized Variational Principles for Computational Mechanics, Comp. Meth. in App. Mech. and Eng, 1988, 164: 287-296.

DOI: 10.1016/s0045-7825(98)00029-2

Google Scholar