Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

Valentine Rey (1) , Guillaume Anciaux (2) , Jean-François Molinari (3)

1 LMT - Laboratoire de Mécanique et Technologie
2 LaBRI - Laboratoire Bordelais de Recherche en Informatique
3 LSMS - COMPUTATIONAL SOLID MECHANICS LABORATORY

We introduce a numerical methodology to compute the solution of an adhesive normal contact problem on rough surfaces with the Boundary Element Method. Based on the Fast Fourier Transform and the Westergaard's fundamental solution, the proposed algorithm enables to solve efficiently the constrained minimization problem: the numerical solution strictly verifies contact orthogonality and the algorithm takes advantage of the constraints to speed up the minimization. Comparisons with the analytical solution of the Hertz case prove the quality of the numerical computation. The method is also used to compute normal adhesive contact between rough surfaces made of multiple asperities.

Mots clés: Adhesive normal contact; BEM; rough surfaces

Domaines: Mécanique des solides [physics.class-ph]

Valentine Rey, Guillaume Anciaux, Jean-François Molinari. Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution. Computational Mechanics, 2017, 60 (1), pp.69-81. ⟨10.1007/s00466-017-1392-5⟩. ⟨hal-01755724⟩