We derive a hierarchy of plate theories for heterogeneous multilayers from three
dimensional nonlinear elasticity by means of Γ-convergence. We allow for layers composed …

We study the behaviour of thin elastic bodies of fixed cross-section and of height h, with h→
0. We show that critical points of the energy functional of nonlinear three-dimensional …

We study the problem of the rigorous derivation of one-dimensional models for a thin curved
beam starting from three-dimensional nonlinear elasticity. We describe the limiting models …

The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied,
as the thickness h of the plate goes to zero. More precisely, it is shown that critical points of …

Thin elastic objects have fascinated mathematicians and engineers for centuries and more
recently have also become an object of intense study in theoretical physics, biology and …

A convergence result is proved for the equilibrium configurations of a three-dimensional thin
elastic beam, as the diameter. This corresponds to a nonlinear one-dimensional model for …

We consider a two phase elastic thin film with soft inclusions subject to bending dominated
deformations. The soft (void) phase may comprise asymptotically small droplets within the …

We present a nonlinear model of weakly curved rod, namely the type of curved rod where
the curvature is of the order of the diameter of the cross-section. We use an approach …

We study a planar thin brittle beam subject to elastic deformations and cracks described in
terms of a nonlinear Griffith energy functional acting on SBV deformations of the beam. In …

We derive the time-dependent von K\'arm\'an plate equations from three dimensional, purely
atomistic particle models. In particular, we prove that a thin structure of interacting particles …