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A Review of Nonlocality in Computational Contact Mechanics

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Current Trends and Open Problems in Computational Mechanics

Abstract

This chapter reviews a class of methods for computational contact mechanics, where the contact problem is regularized using nonlocal interaction, to simplify discretization. This discussion is guided by an analogy to computational fracture mechanics, where nonlocal regularizations are widely employed to obtain robust computational models. Particular emphasis is given to a class of regularizations based on nonlocal integral operators. Such regularizations are analogous to the peridynamic models gaining popularity in the fracture mechanics community. The use of ideas from peridynamics to include physically-consistent friction in such regularizations illustrates the potential value of exploring nonlocal contact modeling through the contact–fracture analogy.

This article summarizes early and recent work on nonlocal approaches in computational contact mechanics and is dedicated to Prof. Peter Wriggers on the occasion of his 70th birthday. Peter’s impactful research has shaped the field of computational contact mechanics and has enabled us to tackle many computational challenges with confidence. The senior author would also like to thank Peter for his continued mentorship and support.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA

    David Kamensky

  2. School of Engineering, Brown University, Providence, RI, USA

    Mert D. Alaydin & Yuri Bazilevs

Authors
  1. David Kamensky
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  2. Mert D. Alaydin
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  3. Yuri Bazilevs
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Corresponding author

Correspondence to Yuri Bazilevs .

Editor information

Editors and Affiliations

  1. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Fadi Aldakheel

  2. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Blaž Hudobivnik

  3. Institute of Continuum Mechanics, Leibniz Universität Hannover, Garbsen, Germany

    Meisam Soleimani

  4. Institute of Computational Modeling in Civil Engineering, Technical University of Braunschweig, Braunschweig, Germany

    Henning Wessels

  5. Institute of Materials Resource Management, University of Augsburg, Augsburg, Germany

    Christian Weißenfels

  6. Department of Civil Engineering and Computer Science, University of Rome Tor Vergata, Rome, Italy

    Michele Marino

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Kamensky, D., Alaydin, M.D., Bazilevs, Y. (2022). A Review of Nonlocality in Computational Contact Mechanics. In: Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weißenfels, C., Marino, M. (eds) Current Trends and Open Problems in Computational Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_23

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  • DOI: https://doi.org/10.1007/978-3-030-87312-7_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-87311-0

  • Online ISBN: 978-3-030-87312-7

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