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A porous thermoelastic diffusion theory of types II and III

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Abstract

In this paper, we derive a nonlinear theory of thermoelasticity with voids and diffusion according to the Green–Naghdi theory of thermomechanics of continua of types II and III. This theory permits propagation of both thermal and diffusion waves at finite speeds. The equations of the linear theory are also obtained. We prove the well-posedness of the linear model and the asymptotic behavior of the solutions by the semigroup theory of linear operators. Finally, we investigate the impossibility of the localization in time of solutions. The main idea to prove this result is to show the uniqueness of solutions for the backward in time problem.

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Authors and Affiliations

  1. Ecole Nationale d’Ingénieurs de Bizerte, Université de Carthage, BP 66, Campus Universitaire Menzel Abderrahman, 7035, Bizerte, Tunisia

    Moncef Aouadi

  2. Dipartimento di Ingegnera Industriale, Università di Salerno, Fisciano, Italy

    Michele Ciarletta & Gerardo Iovane

  3. Dipartimento di Informatica, Università di Salerno, Fisciano, Italy

    Gerardo Iovane

Authors
  1. Moncef Aouadi
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  2. Michele Ciarletta
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  3. Gerardo Iovane
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Correspondence to Moncef Aouadi.

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Aouadi, M., Ciarletta, M. & Iovane, G. A porous thermoelastic diffusion theory of types II and III. Acta Mech 228, 931–949 (2017). https://doi.org/10.1007/s00707-016-1749-4

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  • DOI: https://doi.org/10.1007/s00707-016-1749-4

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