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Semi-inverse method and generalized variational principles with multi-variables in elasticity. (English) Zbl 0967.74013

The author employs the semi-inverse method to establish generalized variational principles with multi-variables without using Lagrange multipliers. The presented derivation of variational principles avoids the problem of variational crisis. The author uses known variational principles of linear elasticity as models to illustrate the approach.

MSC:

74B05 Classical linear elasticity
74S30 Other numerical methods in solid mechanics (MSC2010)
49S05 Variational principles of physics
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