A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
2007 ◽
Vol 05
(02)
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pp. 165-182
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Keyword(s):
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.
2021 ◽
Vol 87
◽
pp. 104221
2006 ◽
Vol 343
(6)
◽
pp. 437-440
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2005 ◽
Vol 42
(26)
◽
pp. 6680-6699
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Keyword(s):
2009 ◽
Vol 28
(2)
◽
pp. 289-304
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Keyword(s):
Keyword(s):