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Wave propagation in diffusive microstretch thermoelasticity

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  • Chirilă, Adina
  • Marin, Marin

Abstract

We consider a microstretch elastic material with thermal and mass diffusion at the macro- and microlevel and study plane harmonic in time wave solutions. We have an undamped in time wave for the displacement, the microrotation and the microdilatation in the uncoupled case. The functions accounting for the thermal and diffusive effects are standing waves with the amplitude decaying exponentially with time. We also illustrate some of these waves. Finally, we discuss a particular case by not taking into consideration the effects of rotation, contraction and dilatation of the material particles when some of the coupling coefficients are not null.

Suggested Citation

  • Chirilă, Adina & Marin, Marin, 2021. "Wave propagation in diffusive microstretch thermoelasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 99-113.
    • Handle: RePEc:eee:matcom:v:189:y:2021:i:c:p:99-113
    DOI: 10.1016/j.matcom.2020.08.012
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    References listed on IDEAS

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    1. 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.
    2. Dražić, Ivan & Mujaković, Nermina & Črnjarić-Žic, Nelida, 2017. "Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: Derivation of the model and a numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 140(C), pages 107-124.
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