On the cavitation problem and the influence of the surface energy in a viscoplastic medium

Fahmi Zaïri; Moussa Naït-Abdelaziz; Krzysztof Woznica

doi:10.1016/j.crme.2005.03.003

On the cavitation problem and the influence of the surface energy in a viscoplastic medium
[Sur le problème de la cavitation et de l'influence de l'énergie de surface dans un milieu viscoplastique]

Présenté par : Évariste Sanchez-Palencia

Fahmi Zaïri ¹ ; Moussa Naït-Abdelaziz ¹ ; Krzysztof Woznica ²

¹ Université des sciences et technologies de Lille, École polytechnique universitaire de Lille, laboratoire de mécanique de Lille (UMR CNRS 8107), avenue P. Langevin, 59655 Villeneuve d'Ascq cedex, France
² Laboratoire énergétique explosions structures, École nationale supérieure d'ingénieurs de Bourges, 10, boulevard Lahitolle, 18020 Bourges cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 5, pp. 431-437.

Résumé
Abstract

Dans ce travail, la solution pour la cavitation à symétrie sphérique dans un matériau viscoplastique est analysée. Afin de s'assurer de la réalité physique du comportement du matériau, le problème est étudié en considérant une sphère creuse dont la matrice obéit à un modèle de Bodner et Partom modifié. Ce phénomène local est assimilé à la croissance rapide d'un vide préexistant et une attention particulière est portée sur l'influence de l'énergie de surface sur la contrainte critique de dilatation.

In this Note, the solution for spherically symmetric cavitation in a viscoplastic material is analysed. To ensure of the reality of the physical behaviour of the material, the problem is studied by considering a hollow sphere whose matrix obeys to a modified Bodner and Partom model. This local phenomenon is understood in the sense of the rapid growth of a pre-existing void and a particular attention is made to understand the influence of the surface energy on the critical dilative stress.

Reçu le : 2004-07-28
Accepté le : 2005-03-08
Publié le : 2005-04-28

DOI : 10.1016/j.crme.2005.03.003

Keywords: Computational solid mechanics, Viscoplasticity, Nonlinear behaviour, Cavitation, Void growth, Surface tension
Mot clés : Mécanique des solides numérique, Viscoplasticité, Comportement non-linéaire, Cavitation, Croissance de vide, Tension de surface

Affiliations des auteurs :

Fahmi Zaïri ¹ ; Moussa Naït-Abdelaziz ¹ ; Krzysztof Woznica ²

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Fahmi Zaïri; Moussa Naït-Abdelaziz; Krzysztof Woznica. On the cavitation problem and the influence of the surface energy in a viscoplastic medium. Comptes Rendus. Mécanique, Volume 333 (2005) no. 5, pp. 431-437. doi : 10.1016/j.crme.2005.03.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.03.003/

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