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Solvability of a Nonclamped Frictional Contact Problem with Adhesion

In: Essays in Mathematics and its Applications

Author

Listed:
  • O. Chau

    (PIMENT EA4518, University of La Réunion)

  • D. Goeleven

    (PIMENT EA4518, University of La Réunion)

  • R. Oujja

    (PIMENT EA4518, University of La Réunion)

Abstract

In this paper, we study a class of dynamic thermal problems involving a frictional normal compliance adhesive contact model and a nonclamped condition for viscoelastic materials. The variational formulation of the problem leads to a general system defined by a second-order quasi-variational evolution inequality on the displacement field coupled with two firstorder evolution equations describing the adhesion and temperature fields. Our main result establishes an existence and uniqueness result of these fields.

Suggested Citation

  • O. Chau & D. Goeleven & R. Oujja, 2016. "Solvability of a Nonclamped Frictional Contact Problem with Adhesion," Springer Books, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Essays in Mathematics and its Applications, pages 71-87, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-31338-2_4
    DOI: 10.1007/978-3-319-31338-2_4
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