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The energy of a Von Kármán circular plate is described by a nonlocal nonconvex one-dimensional functional depending on the thickness ε. Here we perform the asymptotic analysis via Γ-convergence as the parameter ε goes to zero. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]