MMN-3679

Theoretical justification of Ventcel's boundary conditions for a thin layer three-dimensional thermoelasticity problem

  • Nassim Boudrahem, Laboratoire de Mathématiques Appliquées, Faculté des Sciences Exactes, Université de Bejaia, 06000, Algérie, nassim.boudrahem@univ-bejaia.dz
  • Ahmed Berboucha, Laboratoire de Mathématiques Appliquées, Faculté des Sciences Exactes, Université de Bejaia, 06000, Algérie, ahmed.berboucha@univ-bejaia.dz

Abstract

In this paper, we consider a model of linear thermoelasticity for an elastic three-dimensional body with high thermal conductivity covered by a thin layer on one of its faces. We show that Ventcel's boundary conditions may be obtained, as the thickness of the rigid body goes to zero.


Vol. 22 (2021), No. 2, pp. 581-598
DOI: 10.18514/MMN.2021.3679


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