Computational and Applied Mathematics

, Volume 37, Issue 4, pp 5424–5455 | Cite as

Numerical analysis of a thermal contact problem with adhesion

  • Oanh Chau


In this paper, we study a class of dynamic thermal problems involving a frictional normal compliance adhesive contact model and a non-clamped condition for visco-elastic 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 the two first-order evolution equations describing the evolution of the temperature and adhesion. We establish an existence and uniqueness result of the solution on displacement, temperature and adhesion. Then we provide a fully discrete numerical scheme of approximation and derive an error estimate. Finally, various numerical computations are included.


Time-dependent long memory thermoviscoelasticity Adhesion Non-clamped condition Dynamic process Numerical analysis Numerical computations 

Mathematics Subject Classification

74M15 74M10 74F05 74S05 74S20 


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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018

Authors and Affiliations

  1. 1.University of La RéunionSaint-Denis Messag Cedex 9France

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