We study the elastic behaviour of incompatibly prestrained thin plates of thickness h whose
internal energy E h is governed by an imposed three-dimensional smooth Riemann metric G …

The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a
thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings …

We derive a von K\'arm\'an plate theory from a three-dimensional quasistatic nonlinear
model for nonsimple thermoviscoelastic materials in the Kelvin-Voigt rheology, in which the …

We study the stable configurations of a thin three-dimensional weakly prestrained rod
subject to a terminal load as the thickness of the section vanishes. By Γ Γ-convergence we …

We summarize some recent results of the authors and their collaborators, regarding the
derivation of thin elastic shell models (for shells with mid-surface of arbitrary geometry) from …

We derive an effective one-dimensional limit from a three-dimensional Kelvin–Voigt model
for viscoelastic thin-walled beams, in which the elastic and the viscous stress tensor comply …

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 …

In this paper we deduce by Γ-convergence some partially and fully linearized quasistatic
evolution models for thin plates, in the framework of finite plasticity. Denoting by ε the …

We rigorously derive the von Kármán shell theory for incompressible materials, starting from
the 3D nonlinear elasticity. In case of thin plates, the Euler-Lagrange equations of 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 …