Numéro
J. Phys. I France
Volume 6, Numéro 10, October 1996
Page(s) 1251 - 1270
DOI https://doi.org/10.1051/jp1:1996136
DOI: 10.1051/jp1:1996136
J. Phys. I France 6 (1996) 1251-1270

First Order Bifurcation Landscape in a 2D Geometry: The Example of Solid Friction

A. Tanguy1 and Ph. Nozières2

1  LPMMH, ESPCI, 10 rue Vauquelin, 75005 Paris, France
2  Institut Laue Langevin, BP. 156X, 38042 Grenoble Cedex 9, France



(Received 3 May 1996, received in final form 17 June 1996, accepted 27 June 1996)

Abstract
The generalization to 2D of a model for quasistatic friction reveals the importance of anisotropy in the pinning potential between the asperities on slider and track. This anisotropy, which breaks the rotational symmetry of the potential, changes, qualitatively as well as quantitatively, the dissipative behaviour of the asperity. This study aims to show, with the help of an example, the unfolding of bifurcation diagrams for first order transitions when the state space is changed from one to two dimensions.

Résumé
La généralisation à 2D d'un modèle de frottement quasistatique met en évidence l'importance de l'anisotropie du potentiel d'accrochage entre une aspérité du patin et une aspérité de la piste. Cette anisotropie, qui brise la symétrie de rotation du potentiel, change qualitativement et quantitativement le comportement dissipatif de l'aspérité. Cette étude précise à l'aide d'un exemple le déploiement du diagramme de bifurcation des transitions du premier ordre lorsque l'espace des états passe de une à deux dimensions.



© Les Editions de Physique 1996

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