Mathematical problems in mechanics
Motion of an incompressible solid with large deformations

Presented by: Philippe G. Ciarlet

Bonetti, Elena1, 2; Frémond, Michel3
1 Laboratorio Lagrange, Dipartimento di Matematica “Federigo Enriques”, Università di Milano, Via Saldini, 50, 20133 Milano, Italy
2 IMATI–CNR, Via Ferrata 1, 27100, Pavia, Italy
3 Laboratorio Lagrange, Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma “Tor Vergata”, Via del Politecnico, 1, 00163 Roma, Italy
Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 345-350.

We study the motion of a visco-elastic solid with large deformations. We prove the existence of a local-in-time motion and of a non-negative pressure, which is a measure reaction to the incompressibility condition.

On étudie le mouvement d'un solide viscoélastique incompressible en grande déformation. On démontre l'existence d'un mouvement local en temps et d'une pression positive qui est une mesure, réaction à la condition d'incompressibilité.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2018.01.016
Bonetti, Elena 1, 2; Frémond, Michel 3

1 Laboratorio Lagrange, Dipartimento di Matematica “Federigo Enriques”, Università di Milano, Via Saldini, 50, 20133 Milano, Italy
2 IMATI–CNR, Via Ferrata 1, 27100, Pavia, Italy
3 Laboratorio Lagrange, Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma “Tor Vergata”, Via del Politecnico, 1, 00163 Roma, Italy 
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Bonetti, Elena; Frémond, Michel. Motion of an incompressible solid with large deformations. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 345-350. doi : 10.1016/j.crma.2018.01.016. https://www.numdam.org/articles/10.1016/j.crma.2018.01.016/

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