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.
This work was partially supported by the project PRAXIS/2/2.1/MAT/125/94.
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Dedicated to Professor Karl-Heinz Hoffmann on the occasion of his 60th birthday
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Rodrigues, JF. (2000). On a New Class of Nonlocal Unilateral Problems in Thermomechanics. In: Bungartz, HJ., Hoppe, R.H.W., Zenger, C. (eds) Lectures on Applied Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59709-1_7
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DOI: https://doi.org/10.1007/978-3-642-59709-1_7
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