Mathematical problems in mechanics
Motion of an incompressible solid with large deformations
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. http://www.numdam.org/articles/10.1016/j.crma.2018.01.016/

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[3] Bonetti, E.; Colli, P.; Frémond, M. The 3D motion of a solid with large deformations, C. R. Acad. Sci. Paris, Ser. I, Volume 352 (2014), pp. 183-187

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[6] Frémond, M. Virtual Work and Shape Change in Solid Mechanics, Springer Ser. Solid Struct. Mech., vol. 7, Springer-Verlag, Berlin, Heidelberg, Germany, 2017

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