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Article Dans Une Revue Analysis and Applications Année : 2011

NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I

Résumé

A new two-dimensional nonlinear membrane plate theory is derived via a formal asymptotic procedure for a family of hyperelastic nonlinear materials proposed by Ciarlet and Geymonat [11], whose stored energy function is polyconvex and becomes infinite, when the determinant of the deformation gradient tends to zero, and can be adjusted to arbitrary Lamé constants.
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Dates et versions

hal-04563360 , version 1 (29-04-2024)

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Karim Trabelsi. NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I. Analysis and Applications, 2011, 03 (02), pp.195-221. ⟨10.1142/S0219530505000534⟩. ⟨hal-04563360⟩
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