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The Art of Modeling Mechanical Systems pp 203–276Cite as

Art of Modeling in Contact Mechanics

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 570))

Abstract

In this chapter, we will first address general issues of the art and craft of modeling—contents, concepts, methodology. Then, we will focus on modeling in contact mechanics, which will give the opportunity to discuss these issues in connection with non-smooth problems. It will be shown that the non-smooth character of the contact laws raises difficulties and specificities at every step of the modeling process. A wide overview will be given on the art of modeling in contact mechanics under its various aspects: contact laws, their mechanical basics, various scales, underlying concepts, mathematical analysis, solvers, identification of the constitutive parameters, and validation of the models. Every point will be illustrated by one or several examples.

The author is grateful to Prof. Marius Cocou for his very constructive comments on the mathematical aspects and Prof. Alfredo Soldati for our very interesting discussion on the general topic.

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  1. LMA, CNRS, Aix-Marseille University, Centrale Marseille, France

    Michel Raous

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  1. Institute for Applied Mechanics, Technical University of Munich Institute for Applied Mechanics, Garching, Bayern, Germany

    Friedrich Pfeiffer

  2. Institute of Robotics, Johannes-Kepler-University Linz Institute of Robotics, Linz, Austria

    Hartmut Bremer

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Raous, M. (2017). Art of Modeling in Contact Mechanics. In: Pfeiffer, F., Bremer, H. (eds) The Art of Modeling Mechanical Systems. CISM International Centre for Mechanical Sciences, vol 570. Springer, Cham. https://doi.org/10.1007/978-3-319-40256-7_4

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  • DOI: https://doi.org/10.1007/978-3-319-40256-7_4

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