2020
DOI: 10.3390/sym12020267
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A Study of Deformations in a Thermoelastic Dipolar Body with Voids

Abstract: In this paper, we consider the mixed initial boundary value problem in the context of a thermoelastic porous body having a dipolar structure. We intend to analyze the rate of decay of solutions to this problem to ensure that in a finite time, they become null. In our main result, we find that the combined contribution of the dipolar constitution of the body together with voids dissipation and thermal behavior cannot cause vanishing of the deformations in a finite time.

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Cited by 5 publications
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“…Under the non-Fourier MGT thermoelastic model, Abouelregal et al [ 22 ] investigated the thermo-visco-elastic behavior of an infinitely thin, orthotropic, hollow cylinder with changing characteristics. An orthotropic, magneto-thermoelastic solid was explored by Lata and Himanshi [ 23 ] using a multi-dual-phase-lag model and hall current. Several investigations have been carried out under the different theories in the recent literature [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ].…”
Section: Introductionmentioning
confidence: 99%
“…Under the non-Fourier MGT thermoelastic model, Abouelregal et al [ 22 ] investigated the thermo-visco-elastic behavior of an infinitely thin, orthotropic, hollow cylinder with changing characteristics. An orthotropic, magneto-thermoelastic solid was explored by Lata and Himanshi [ 23 ] using a multi-dual-phase-lag model and hall current. Several investigations have been carried out under the different theories in the recent literature [ 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ].…”
Section: Introductionmentioning
confidence: 99%