NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS II: THE BENDING MODEL
Résumé
This paper is a sequel to Part I (Trabelsi [11]) in which a new two-dimensional membrane model was derived via a formal asymptotic procedure for a family of hyperelastic nonlinear materials proposed by Ciarlet and Geymonat 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. Here, we continue the asymptotic analysis by making legitimate assumptions on the data to produce an inextensional two-dimensional model.