Stability analysis of rough surfaces in adhesive normal contact

Valentine Rey (1) , Jeremy Bleyer (2)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 navier umr 8205 - Laboratoire Navier

This paper deals with adhesive frictionless normal contact between one elastic flat solid and one stiff solid with rough surface. After computation of the equilibrium solution of the energy minimization principle and respecting the contact constraints, we aim at studying the stability of this equilibrium solution. This study of stability implies solving an eigenvalue problem with inequality constraints. To achieve this goal, we propose a proximal algorithm which enables qualifying the solution as stable or unstable and that gives the instability modes. This method has a low computational cost since no linear system inversion is required and is also suitable for parallel implementation. Illustrations are given for the Hertzian contact and for rough contact.

Mots clés: Stability; Rough surfaces; Adhesive normal contact; BEM

Domaines: Mécanique des solides [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Valentine Rey, Jeremy Bleyer. Stability analysis of rough surfaces in adhesive normal contact. Computational Mechanics, 2018, ⟨10.1007/s00466-018-1556-y⟩. ⟨hal-01731280⟩