We provide a justification of the Reissner-Mindlin plate theory, using linear three-dimensional elasticity as framework and Gamma-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 Gamma-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.

Paroni, R., PODIO GUIDUGLI, P., Tomassetti, G. (2007). A justification of the reissner-mindlin plate theory through variational convergence. ANALYSIS AND APPLICATIONS, 5(2), 165-182.

A justification of the reissner-mindlin plate theory through variational convergence

PODIO GUIDUGLI, PAOLO;TOMASSETTI, GIUSEPPE
2007-01-01

Abstract

We provide a justification of the Reissner-Mindlin plate theory, using linear three-dimensional elasticity as framework and Gamma-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 Gamma-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
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
Reissner-mindlin plates; gamma-convergence; second-order elasticity
18
Paroni, R., PODIO GUIDUGLI, P., Tomassetti, G. (2007). A justification of the reissner-mindlin plate theory through variational convergence. ANALYSIS AND APPLICATIONS, 5(2), 165-182.
Paroni, R; PODIO GUIDUGLI, P; Tomassetti, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/31363
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