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On a New Class of Nonlocal Unilateral Problems in Thermomechanics

In: Lectures on Applied Mathematics

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  • J.-F Rodrigues

    (CMAF/Universidade de Lisboa)

Abstract

In this study we consider the equilibrium of an elastic membrane over a rigid obstacle subjected to a temperature field strongly depending on the contact with the obstacle. This problem can be formulated as an unilateral problem coupled with a heat diffusion equation with a discontinuous function depending on the contact region. It corresponds to an interior free boundary problem in thermoelasticity of different type with respect to the boundary unilateral contact problem, or the thermal Signorini problem, considered in [2] with mollification of the discontinuous heat source.

Suggested Citation

  • J.-F Rodrigues, 2000. "On a New Class of Nonlocal Unilateral Problems in Thermomechanics," Springer Books, in: Hans-Joachim Bungartz & Ronald H. W. Hoppe & Christoph Zenger (ed.), Lectures on Applied Mathematics, pages 89-101, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-59709-1_7
    DOI: 10.1007/978-3-642-59709-1_7
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