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Analyticity of solutions to thermo-elastic-plastic flow problem with microtemperatures

Article dans une revue avec comité de lecture
Auteur
AOUADI, Moncef
232921 Université de Carthage (Tunisie) = University of Carthage [UCAR]
ccBEN BETTAIEB, Mohamed
ccABED-MERAIM, Farid
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

URI
http://hdl.handle.net/10985/20375
DOI
10.1002/zamm.202000346
Date
2021
Journal
Journal of Applied Mathematics and Mechanics (Zeitschrift für Angewandte Mathematik und Mechanik)

Résumé

In this paper, we study some qualitative and numerical properties of new equations including the coupled effects of thermal elastic-plastic theory with microtemperatures. We establish the necessary and sufficient conditions to guarantee that the model dissipates energy. The one-dimensional case, which corresponds to isotropic hardening problem, is chosen in order to present some qualitative and numerical properties. With the help of the semigroup theory of linear operators, we prove the well-posedness of the one-dimensional problem corresponding to plastic flow. Then, we show that the associated C0−semigroup is not analytical in general, except for a special case. The exponential stability of the solutions is kept in all cases. Finally, a numerical tool, based on the finite element method, is developed to validate the proposed model and to show its capability. Particular attention is paid to the consideration of the elastoplastic behavior in the development of this tool.

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LEM3_ZAMM_2021_MBB_FAM.pdf
Taille:
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Format:
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Fin d'embargo:
2021-10-01
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  • Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)

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  • Mathematical and numerical analysis in thermo-gradient-dependent theory of plasticity 
    Article dans une revue avec comité de lecture
    AOUADI, Moncef; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid (Wiley, 2018)
    In this paper, we develop new governing equations for thermo-gradient-dependent theory of plasticity. They include the coupled effects of thermal elastic-plastic theory, including balance and constitutive equations. To ...
  • An anisotropic model with linear perturbation technique to predict HCP sheet metal ductility limit 
    Communication avec acte
    JEDIDI, Mohamed Yassine; ccBEN BETTAIEB, Mohamed; ccABED-MERAIM, Farid; KHABOU, Mohamed Taoufik; BOUGUECHA, Anas; HADDAR, Mohamed (2021)
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    In many engineering applications (automotive, computer and mobile device industries, etc.), magnesium alloys have been widely used owing to their interesting physical and mechanical parameters. However, magnesium alloys ...
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    Communication avec acte
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