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20192024
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math.AP2024

Thermo-elastodynamics of nonlinearly viscous solids

S. Almi, R. Badal, M. Friedrich +1

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the f…

math.AP2022

Mean-field limits for entropic multi-population dynamical systems

Stefano Almi, Claudio D'Eramo, Marco Morandotti +1

The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set…

math.AP2022

Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture

Stefano Almi, Elisa Davoli, Manuel Friedrich

We characterize the passage from nonlinear to linearized Griffith-fracture theories under non-interpenetration constraints. In particular, sequences of deformations satisfying a Ci…

math.AP2020

Topology optimization for quasistatic elastoplasticity

Stefano Almi, Ulisse Stefanelli

Topology optimization is concerned with the identification of optimal shapes of deformable bodies with respect to given target functionals. The focus of this paper is on a topology…

math.AP2020

Brittle fracture in linearly elastic plates

Stefano Almi, Emanuele Tasso

In this work we derive by Gamma-convergence techniques a model for brittle fracture linearly elastic plates. Precisely, we start from a brittle linearly elastic thin film with posi…

math.AP2019

Irreversibility and alternate minimization in phase field fracture: a viscosity approach

Stefano Almi

This work is devoted to the analysis of convergence of an alternate (staggered) minimization algorithm in the framework of phase field models of fracture. The energy of the system…