On a New Class of Nonlocal Unilateral Problems in Thermomechanics

Rodrigues J.-F
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Rodrigues J.-F: CMAF/Universidade de Lisboa

A chapter in Lectures on Applied Mathematics, 2000, pp 89-101 from Springer

Abstract: 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.

Keywords: Variational Inequality; Continuous Dependence; Obstacle Problem; Couple Problem; Elastic Coefficient (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59709-1_7

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DOI: 10.1007/978-3-642-59709-1_7

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