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

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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

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