On the method of Lagrange multiplier and others

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1986 English Publisher:Springer Science and Business Media LLCJournal:Acta Mechanica Sinica, volume 2, pages 129-137 (issn: 0567-7718, eissn: 1614-3116,

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Authors: Hu, Haichang;

doi: 10.1007/bf02485853

On the method of Lagrange multiplier and others

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Abstract

The fundamentals for the correct use of the method of Lagrange multipliers are presented and illustrated by examples. It is pointed out that for a given problem of mechanics, there may be many equivalent and unequivalent variational principles. The functionals of the so-called generalized variational principles of elasticity are linear combinations of the well known functionals given by Hellinger-Reissner and Hu-Washizu.

Keywords

Lagrange multipliers, generalized variational principles, Other numerical methods in solid mechanics, Numerical methods involving duality

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