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Meeting the Contact-Mechanics Challenge

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Abstract

This paper summarizes the submissions to a recently announced contact-mechanics modeling challenge. The task was to solve a typical, albeit mathematically fully defined problem on the adhesion between nominally flat surfaces. The surface topography of the rough, rigid substrate, the elastic properties of the indenter, as well as the short-range adhesion between indenter and substrate, were specified so that diverse quantities of interest, e.g., the distribution of interfacial stresses at a given load or the mean gap as a function of load, could be computed and compared to a reference solution. Many different solution strategies were pursued, ranging from traditional asperity-based models via Persson theory and brute-force computational approaches, to real-laboratory experiments and all-atom molecular dynamics simulations of a model, in which the original assignment was scaled down to the atomistic scale. While each submission contained satisfying answers for at least a subset of the posed questions, efficiency, versatility, and accuracy differed between methods, the more precise methods being, in general, computationally more complex. The aim of this paper is to provide both theorists and experimentalists with benchmarks to decide which method is the most appropriate for a particular application and to gauge the errors associated with each one.

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Acknowledgements

MHM thanks Wilfred Tysoe and Nicholas Spencer for indispensible support in the execution and the write-up of the contact-mechanics challenge. MHM and WBD thank the Jülich Supercomputing Centre for computing time on JUQUEEN. The contribution of GV and AV was funded by the Austrian COMET-Program (Project XTribology, No. 849109), and the work was carried out at the “Excellence Centre of Tribology” (AC2T research GmbH). MOR was supported by the NSF through Grant 1411144.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, Saarland University, Campus, 66123, Saarbrücken, Germany

    Martin H. Müser

  2. John von Neumann Institut für Computing and Jülich Supercomputing Centre, Institute for Advanced Simulation, FZ Jülich, 52425, Jülich, Germany

    Martin H. Müser & Wolf B. Dapp

  3. INSA–Lyon, CNRS UMR5259, Laboratoire de Mécanique des Contacts et des Structures, Université Lyon, 69621, Villeurbanne - Cedex, France

    Romain Bugnicourt, Philippe Sainsot & Ton A. Lubrecht

  4. Manifacture Française des Pneumatiques Michelin, Centre de Technologie de Ladoux, 63118, Cébazat, France

    Romain Bugnicourt & Nicolas Lesaffre

  5. PGI-1, FZ-Jülich, 52425, Jülich, Germany

    Bo N. J. Persson

  6. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, 32611, USA

    Kathryn Harris, Alexander Bennett, Kyle Schulze, Sean Rohde, Peter Ifju, W. Gregory Sawyer & Thomas Angelini

  7. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Hossein Ashtari Esfahani, Mahmoud Kadkhodaei & Saleh Akbarzadeh

  8. Department of Mechanical Engineering, Chang Gung University, Taoyuan City, Taiwan

    Jiunn-Jong Wu

  9. AC2T research GmbH, Viktor-Kaplan-Straße 2/C, 2700, Wiener Neustadt, Austria

    Georg Vorlaufer & András Vernes

  10. Advanced Production Engineering, Engineering and Technology Institute Groningen, Faculty of Science and Engineering, University of Groningen, 9747, AG, Groningen, The Netherlands

    Soheil Solhjoo & Antonis I. Vakis

  11. Auburn University, Auburn, AL, 36849, USA

    Robert L. Jackson & Yang Xu

  12. Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Jeffrey Streator & Amir Rostami

  13. Department of Mechanical Engineering, Imperial College London, London, SW7 2AZ, UK

    Daniele Dini & Simon Medina

  14. Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, 70126, Bari, Italy

    Giuseppe Carbone, Francesco Bottiglione & Luciano Afferrante

  15. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, MD, 21218, USA

    Joseph Monti & Mark O. Robbins

  16. Department of Microsystems Engineering, University of Freiburg, Freiburg im Breisgau, Germany

    Lars Pastewka

  17. Institute for Applied Materials (IAM), Karlsruhe Institute of Technology (KIT), 76131, Karlsruhe, Germany

    Lars Pastewka

  18. Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, UK

    James A. Greenwood

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  1. Martin H. Müser
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Correspondence to Martin H. Müser.

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This article is part of the Topical Collection on Special Issue: The Contact-Mechanics Challenge.

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Müser, M.H., Dapp, W.B., Bugnicourt, R. et al. Meeting the Contact-Mechanics Challenge. Tribol Lett 65, 118 (2017). https://doi.org/10.1007/s11249-017-0900-2

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