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.