On vibrations in Green-Naghdi thermoelasticity of dipolar bodies-Reference-Cited by-同舟云学术

On vibrations in Green-Naghdi thermoelasticity of dipolar bodies

Published:2019-03-01 Issue:1 Volume:27 Page:125-140
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Marin M.¹,Chirilă A.¹,Codarcea L.¹,Vlase S.²

Affiliation:

1. Department of Mathematics and Computer Science , Transilvania University of Braşov , Bdul Eroilor 29, 500036 Braşov , Romania .

2. Department of Mechanical Engineering , Transilvania University of Braşov , Str Politehnicii 1, 500024 Braşov , Romania .

Abstract

Abstract This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0007

Reference21 articles.

1. [1] Green, A.E., Naghdi, P.M., Re-examination of the basic postulates of thermomechanics. Proc. R. Soc. Lond. A, 432 (1991), 1171-1194.

2. [2] Green, A.E., Naghdi, P.M., On undamped heat wave in elastic solids. J. Thermal Stress. 15(2) (1992), 253-264.

3. [3] Green, A.E., Naghdi, P.M., Thermoelasticity without energy dissipation. J. Elast. 9 (1993), 1-8.

4. [4] Choudhuri, S.K.R., On a thermoelastic three-phase-lag model. J. Thermal Stress. 30(3) (2007), 231-238.

5. [5] Eringen, A.C., Theory of thermo-microstretch elastic solids, Int. J. Engng. Sci., 28 (1990), 1291-1301.

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