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Nonconvex Inequality Models for Contact Problems of Nonsmooth Mechanics

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Book cover Computer Methods in Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 1))

Abstract

This review paper deals with selected nonsmooth and nonconvex inequality problems for dynamic frictional contact between a viscoelastic body and a foundation. The process is modeled by general nonmonotone possibly multivalued multidimensional Clarke subdifferential contact boundary conditions. The problems of frictional contact with both short and long memory, thermoviscoelastic frictional contact, bilateral frictional contact and bilateral contact for piezoelectric materials with adhesion are considered. The formulations and results on existence, and uniqueness of solutions are presented.

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Author information

Authors and Affiliations

  1. Institute of Computer Science, Faculty of Mathematics and, Computer Science, Jagiellonian University, ul. Stanisława Łojasiewicza 6, 30-348, Krakow, Poland

    Stanislaw Migórski & Anna Ochal

Authors
  1. Stanislaw Migórski
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  2. Anna Ochal
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Editors and Affiliations

  1. Inst. Building Engineering, University of Zielona Góra, ul. Z. Szafrana 1, 65-516, Zielona Góra, Poland

    Mieczysław Kuczma

  2. Rue Diderot 4, 13469, Berlin, Germany

    Krzysztof Wilmanski

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Migórski, S., Ochal, A. (2010). Nonconvex Inequality Models for Contact Problems of Nonsmooth Mechanics. In: Kuczma, M., Wilmanski, K. (eds) Computer Methods in Mechanics. Advanced Structured Materials, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05241-5_3

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