We provide a justification of the Reissner–Mindlin plate theory, using linear three- dimensional elasticity as framework and Γ-convergence as technical tool. Essential to our developments is the selection of a transversely isotropic material class whose stored energy depends on (first and) second gradients of the displacement field. Our choices of a candidate Γ-limit and a scaling law of the basic energy functional in terms of a thinness parameter are guided by mechanical and formal arguments that our variational convergence theorem is meant to validate mathematically.

Justification of the Reissner-Mindlin plate theory through variational convergence / Paroni, Roberto; P., PODIO GUIDUGLI; G., Tomassetti. - In: ANALYSIS AND APPLICATIONS. - ISSN 0219-5305. - 5:(2007), pp. 165-182.

Justification of the Reissner-Mindlin plate theory through variational convergence

PARONI, Roberto;
2007-01-01

Abstract

We provide a justification of the Reissner–Mindlin plate theory, using linear three- dimensional elasticity as framework and Γ-convergence as technical tool. Essential to our developments is the selection of a transversely isotropic material class whose stored energy depends on (first and) second gradients of the displacement field. Our choices of a candidate Γ-limit and a scaling law of the basic energy functional in terms of a thinness parameter are guided by mechanical and formal arguments that our variational convergence theorem is meant to validate mathematically.
2007
Justification of the Reissner-Mindlin plate theory through variational convergence / Paroni, Roberto; P., PODIO GUIDUGLI; G., Tomassetti. - In: ANALYSIS AND APPLICATIONS. - ISSN 0219-5305. - 5:(2007), pp. 165-182.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/78292
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