This work is devoted to the variational derivation of a reduced model for brittle membranes in
finite elasticity. The main mathematical tools we develop for our analysis are:(i) a new …

Brittle fracture in linearly elastic plates Page 1 Proceedings of the Royal Society of Edinburgh,
153, 68–103, 2023 DOI:10.1017/prm.2021.71 Brittle fracture in linearly elastic plates Stefano …

We address a finite-plasticity model based on the symmetric tensor P^⊤\!P instead of the
classical plastic strain P. Such a structure arises by assuming that the material behavior is …

An effective model is identified for thin perfectly plastic plates whose microstructure consists
of the periodic assembling of two elastoplastic phases, as the periodicity parameter …

We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a
microstructure resulting from the periodic alternation of two elastoplastic phases. We study …

The subject of this paper is the rigorous derivation of reduced models for a thin plate by
means of Γ-convergence, in the framework of finite plasticity. Denoting by ε the thickness of …

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 …

We investigate the problem of dimension reduction for plates in nonlinear magnetoelasticity.
The model features a mixed Eulerian–Lagrangian formulation, as magnetizations are …

We rigorously derive an effective bending model for elastoplastic rods starting from three-
dimensional finite plasticity. For the derivation we lean on a framework of evolutionary …

A rate-independent model for the quasistatic evolution of a magnetoelastic plate is
advanced and analyzed. Starting from the three-dimensional setting, we present an …