3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
A dimension reduction analysis is undertaken using Γ -convergence techniques within a relaxation theory for 3D nonlinear elastic thin domains of the formwhere ω is a bounded domain of R 2 and f ε is an ε-dependent profile.An abstract representation of the effective 2D energy is obtained, and specific characterizations …