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A Class of Dynamic Unilateral Contact Problems with Sub-differential Friction Law

In: Exploring Mathematical Analysis, Approximation Theory, and Optimization

Author

Listed:
  • Oanh Chau

    (University of Reunion Island, PIMENT)

  • Adrien Petrov

    (Université de Lyon)

  • Arnaud Heibig

    (Université de Lyon)

Abstract

We study a class of dynamic unilateral contact problems with sub-differential friction law, and thermal effects, for time depending long memory visco-elastic materials, with or without the clamped condition. We describe the mechanical problem, derive its variational formulation, and after specifying the assumptions on the data and operators, we prove an existence and uniqueness of weak solution on displacement and temperature fields.

Suggested Citation

  • Oanh Chau & Adrien Petrov & Arnaud Heibig, 2023. "A Class of Dynamic Unilateral Contact Problems with Sub-differential Friction Law," Springer Optimization and Its Applications, in: Nicholas J. Daras & Michael Th. Rassias & Nikolaos B. Zographopoulos (ed.), Exploring Mathematical Analysis, Approximation Theory, and Optimization, pages 17-31, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-46487-4_2
    DOI: 10.1007/978-3-031-46487-4_2
    as

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