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 …

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 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 …

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 …

We discuss a finite-plasticity model based on the symmetric tensor $ P^ TP $ instead of the
classical plastic strain $ P $. Such a model structure arises from assuming that the material …

Finite-plasticity theories often feature nonlocal energetic contributions in the plastic
variables. By introducing a length-scale for plastic effects in the picture, these nonlocal terms …

We address the analysis of the Souza-Auricchio model for shape-memory alloys in the finite-
strain setting. The model is formulated in variational terms and the existence of quasistatic …