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An extension of Dafermos’s results for bodies with a dipolar structure

Author

Listed:
  • Marin, M.
  • Chirilă, A.
  • Othman, M.I.A.

Abstract

A body with a dipolar structure is considered. For the points of such a body are taken into account the microtemperatures and the microrotational effects are neglected. The presence of microtemperatures due to the intimate structure of the environment, who joins to the classical temperature and displacements, does not essentially affect the existence of a generalized solution, nor its uniqueness. In this context, we can generalize a Dafermos type result for a dynamical theory of an inhomogeneous and anisotropic body.

Suggested Citation

  • Marin, M. & Chirilă, A. & Othman, M.I.A., 2019. "An extension of Dafermos’s results for bodies with a dipolar structure," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 680-688.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:680-688
    DOI: 10.1016/j.amc.2019.06.024
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    Cited by:

    1. Chirilă, Adina & Marin, Marin, 2021. "Wave propagation in diffusive microstretch thermoelasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 99-113.
    2. Marin Marin & Sorin Vlase & Ioan Tuns, 2022. "On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body," Mathematics, MDPI, vol. 10(18), pages 1-10, September.

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