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

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Abstract

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.

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Acknowledgements

Support for V.R. from the EPFL Fellows fellowship programme co-funded by Marie Skodowska-Curie, Horizon 2020 Grant agreement no. 665667 is gratefully acknowledged.

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  1. Laboratoire de simulation en mécanique des solides, Institut ENAC, Ecole Polytechnique Fédérale de Lausanne (EPFL), Station 18, 1015, Lausanne, Switzerland

    Valentine Rey, Guillaume Anciaux & Jean-François Molinari

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  1. Valentine Rey
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  2. Guillaume Anciaux
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  3. Jean-François Molinari
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Correspondence to Valentine Rey.

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Rey, V., Anciaux, G. & Molinari, JF. Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution . Comput Mech 60, 69–81 (2017). https://doi.org/10.1007/s00466-017-1392-5

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