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Finite-strain Poynting-Thomson model: existence and linearisation

Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Tuesday, 25 July 2023 11:30 - 12:30

Venue: Andrea Chiesa - Aula Buzano (DISMA Politecnico di Torino)

We investigate the large-strain Poynting-Thomson viscoelastic model under compatibility of viscous deformations. The total deformation of the body results from the successive composition of a compatible viscous deformation and an elastic one, in accordance with the classical multiplicative decomposition of the total strain. We prove existence of suitably weak solutions by a time-discretization approach based on incremental minimization. Moreover, we study the linearization of the model showing convergence to the small-strain limit. This is joint work with Ulisse Stefanelli (Vienna) and Martin Kruzik (Prague).

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Speaker
Andrea Chiesa
Affiliation
University of Vienna
Room
Aula Buzano
Proposed by
Marco Morandotti

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