Validation of Classical Beam and Plate Models by Variational Convergence
This paper consists of three parts: the first has to do with a method of deduction by scaling of linearly elastic structure models, starting from a displacement formulation of variational equilibrium in three-dimensional linear elasticity; the second part is devoted to elucidating the role of second-gradient elastic energy in the derivation of structure models capable of shearing deformations; in the last part, a validation by Gamma-convergence of the Reissner-Mindlin plate model is offered.
KeywordsTimoshenko beam theory Reissner-Mindlin plate theory variational convergence
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