A Fourier-accelerated volume integral method for elastoplastic contact

Lucas Frérot 1 Marc Bonnet 2 Jean-François Molinari 1 Guillaume Anciaux 1
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01963034
Contributeur : Marc Bonnet <>
Soumis le : vendredi 21 décembre 2018 - 09:43:11
Dernière modification le : mardi 15 janvier 2019 - 16:36:39

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  • HAL Id : hal-01963034, version 1
  • ARXIV : 1811.11558

Citation

Lucas Frérot, Marc Bonnet, Jean-François Molinari, Guillaume Anciaux. A Fourier-accelerated volume integral method for elastoplastic contact. 2018. 〈hal-01963034〉

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