Abdelbaki Merouani, Farid Messelmi
Abstract:
We consider a mathematical model that describes the dynamic
evolution of damage in elastic-thermo-viscoplastic materials with
displacement-traction, and Neumann and Fourier boundary conditions.
We derive a weak formulation of the system consisting of a
motion equation, an energy equation, and an evolution damage
inclusion. This system has an integro-differential variational
equation for the displacement and the stress fields, and a variational
inequality for the damage field. We prove existence and uniqueness
of the solution, and the positivity of the temperature.
Submitted July 20, 2010. Published September 8, 2010.
Math Subject Classifications: 74H20, 74H25, 74M15, 74F05, 74R20.
Key Words: Damage field; temperature; elastic-thermo-viscoplastic;
variational inequality.
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Abdelbaki Merouani Departement de Mathematiques, Univerisite de Bordj Bou Arreridj Bordj Bou Arreridj 34000, Algeria email: badri_merouani@yahoo.fr | |
Farid Messelmi Departement de Mathematiques, Univerisite Zian Achour de Djelfa Djelfa 17000, Algeria email: foudimath@yahoo.fr |
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