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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2019

A Fourier-accelerated volume integral method for elastoplastic contact

Résumé

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scales. In addition, non-linear local processes, such as plasticity, are expected to occur even at the lightest loads. In this context, robust and efficient computational approaches are required. We therefore present a novel numerical method, based on integral equations, capable of handling the large discretization requirements of real rough surfaces as well as the non-linear plastic flow occurring below and at the contacting asperities. This method is based on a new derivation of the Mindlin fundamental solution in Fourier space, which leverages the computational efficiency of the fast Fourier transform. The use of this Mindlin solution allows a dramatic reduction of the memory in-print (as the Fourier coefficients are computed on-the-fly), a reduction of the discretization error, and the exploitation of the structure of the functions to speed up computation of the integral operators. We validate our method against an elastic-plastic FEM Hertz normal contact simulation and showcase its ability to simulate contact of rough surfaces with plastic flow.

Dates et versions

hal-01963034 , version 1 (21-12-2018)

Identifiants

Citer

Lucas Frérot, Marc Bonnet, Jean-François Molinari, Guillaume Anciaux. A Fourier-accelerated volume integral method for elastoplastic contact. Computer Methods in Applied Mechanics and Engineering, 2019, 351, pp.951-976. ⟨10.1016/j.cma.2019.04.006⟩. ⟨hal-01963034⟩
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