Top

Acta Mechanica

Published in:

29-10-2019 | Original Paper

On the influence of voids on the depth of an external signal in thermoelasticity with two relaxation times

Authors: Manuela Carini, Vittorio Zampoli

Published in: Acta Mechanica | Issue 1/2020

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This work aims to highlight, by a series of simulations, the effect of the presence of pores in the material matrix on the transmission depth of a thermomechanical signal: two linear thermoelastic models are considered, for which the thermal response obeys a time-differential constitutive equation with two relaxation times, derived from the dual-phase lag theory. A porous material matrix, modeled on the basis of the Cowin–Nunziato theory, is compared with its counterpart without voids: this is done under hypotheses of linearity, compatible with the assumption to deal with very small spatial scales, in the order of the micrometer or nanometer. The results of such simulations are graphically presented and are completely unexpected; in the opinion of the authors, they can represent an interesting starting point for further discussions and insights.

previous article Prediction of the non-isothermal creep strain of a glassy polymer on the basis of dynamic analysis results

next article Elastodynamic Doppler effects in an anisotropic solid: SH-wave

Shiomi, J., Maruyama, S.: Non-Fourier heat conduction in a single-walled carbon nanotube: classical molecular dynamics simulations. Phys. Rev. B 73, 205420 (2006). https://doi.org/10.1103/PhysRevB.73.205420 CrossRef

Tzou, D.Y.: Macro- to Microscale Heat Transfer: The Lagging Behavior, 2nd edn. Wiley, Chichester (2014)CrossRef

Roy Choudhuri, S.K.: On a thermoelastic three-phase-lag model. J. Therm. Stress. 30(3), 231–238 (2007). https://doi.org/10.1080/01495730601130919 CrossRef

Chiriţă, S., D’Apice, C., Zampoli, V.: The time differential three-phase-lag heat conduction model: thermodynamic compatibility and continuous dependence. Int. J. Heat Mass Transf. 102, 226–232 (2016). https://doi.org/10.1016/j.ijheatmasstransfer.2016.06.019 CrossRef

D’Apice, C., Chiriţă, S., Zampoli, V.: On the well-posedness of the time differential three-phase-lag thermoelasticity model. Arch. Mech. 68(5), 371–393 (2016)MathSciNetMATH

Zampoli, V., Landi, A.: A domain of influence result about the time differential three-phase-lag thermoelastic model. J. Therm. Stress. 40(1), 108–120 (2017). https://doi.org/10.1080/01495739.2016.1195242 CrossRef

Chiriţă, S.: On the time differential dual-phase-lag thermoelastic model. Meccanica 52(1–2), 349–361 (2017). https://doi.org/10.1007/s11012-016-0414-2 MathSciNetCrossRefMATH

Chiriţă, S., Ciarletta, M., Tibullo, V.: On the thermomechanical consistency of the time differential dual-phase-lag models of heat conduction. Int. J. Heat Mass Transf. 114, 277–285 (2017). https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.071 CrossRef

Chiriţă, S.: High-order effects of thermal lagging in deformable conductors. Int. J. Heat Mass Transf. 127(Part C), 965–974 (2018). https://doi.org/10.1016/j.ijheatmasstransfer.2018.08.074 CrossRef

10.

Zampoli, V., Chiriţă, S.: On the depth of a thermomechanical signal in a dual-phase lag deformable medium. In: Proceedings of the IEEE EESMS Workshop on Environmental, Energy and Structural Monitoring Systems, Article number 8405816, pp. 1–6 (2018). https://doi.org/10.1109/EESMS.2018.8405816

11.

Chiriţă, S., Zampoli, V.: Spatial behavior of the dual-phase-lag deformable conductors. J. Therm. Stress. 41(10–12), 1276–1296 (2018). https://doi.org/10.1080/01495739.2018.1479205 CrossRef

12.

Zampoli, V.: Uniqueness theorems about high-order time differential thermoelastic models. Ricerche mat. 67(2), 929–950 (2018). https://doi.org/10.1007/s11587-018-0351-6 MathSciNetCrossRefMATH

13.

Zampoli, V.: Some continuous dependence results about high-order time differential thermoelastic models. J. Therm. Stress. 41(7), 827–846 (2018). https://doi.org/10.1080/01495739.2018.1439789 CrossRef

14.

Magaña, A., Quintanilla, R.: On the existence and uniqueness in phase-lag thermoelasticity. Meccanica 53(1–2), 125–134 (2018). https://doi.org/10.1007/s11012-017-0727-9 MathSciNetCrossRefMATH

15.

Liu, Z., Quintanilla, R.: Time decay in dual-phase-lag thermoelasticity: critical case. Commun. Pure Appl. Anal. 17(1), 177–190 (2018). https://doi.org/10.3934/cpaa.2018011 MathSciNetCrossRefMATH

16.

Magaña, A., Miranville, A., Quintanilla, R.: On the stability in phase-lag heat conduction with two temperatures. J. Evol. Equ. 18(4), 1697–1712 (2018). https://doi.org/10.1007/s00028-018-0457-z MathSciNetCrossRefMATH

17.

Chiriţă, S., D’Apice, C., Zampoli, V.: Spatial behavior of the steady state vibrations in a dual-phase-lag rigid conductor. J. Adv. Therm. Sci. Res. 6, 1–9 (2019). https://doi.org/10.15377/2409-5826.2019.06.1 CrossRef

18.

Zampoli, V.: On the increase in signal depth due to high-order effects in micro- and nanosized deformable conductors. Math. Probl. Eng. Article ID 2629012, 11 pages (2019). https://doi.org/10.1155/2019/2629012 MathSciNetCrossRef

19.

Bazarra, N., Copetti, M.I.M., Fernández, J.R., Quintanilla, R.: Numerical analysis of some dual-phase-lag models. Comput. Math. Appl. 77(2), 407–426 (2019). https://doi.org/10.1016/j.camwa.2018.09.044 MathSciNetCrossRef

20.

Bazarra, N., Bochicchio, I., Fernández, J.R., Naso, M.G.: Analysis of a contact problem involving an elastic body with dual-phase-lag. Appl. Math. Optim. (2019). https://doi.org/10.1007/s00245-019-09574-1 CrossRefMATH

21.

Bazarra, N., Campo, M., Fernández, J.R., Quintanilla, R.: Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction. Appl. Numer. Math. 140, 76–90 (2019). https://doi.org/10.1016/j.apnum.2019.01.010 MathSciNetCrossRefMATH

22.

Chiriţă, S.: On high-order approximations for describing the lagging behavior of heat conduction. Math. Mech. Solids 24(6), 1648–1667 (2019). https://doi.org/10.1177/1081286518758356 MathSciNetCrossRefMATH

23.

Hu, L., Pasta, M., La Mantia, F., Cui, L., Jeong, S., Deshazer, H.D., Choi, J.W., Han, S.M., Cui, Y.: Stretchable, porous, and conductive energy textiles. Nano Lett. 10, 708–714 (2010). https://doi.org/10.1021/nl903949m CrossRef

24.

Anglin, E.J., Cheng, L., Freeman, W.R., Sailor, M.J.: Porous silicon in drug delivery devices and materials. Adv. Drug Deliv. Rev. 60(11), 1266–1277 (2008). https://doi.org/10.1016/j.addr.2008.03.017 CrossRef

25.

Rashidi, S., Esfahani, J.A., Rashidi, A.: A review on the applications of porous materials in solar energy systems. Renew. Sustain. Energy Rev. 73, 1198–1210 (2017). https://doi.org/10.1016/j.rser.2017.02.028 CrossRef

26.

Zampoli, V., Amendola, A. Uniqueness, continuous dependence, and spatial behavior of the solution in linear porous thermoelasticity with two relaxation times. J. Therm. Stress. (in press). https://doi.org/10.1080/01495739.2019.1654950 CrossRef

27.

Cowin, S.C., Nunziato, J.W.: Linear elastic materials with voids. J. Elast. 13(2), 125–147 (1983). https://doi.org/10.1007/BF00041230 CrossRefMATH

28.

Ieşan, D.: Some theorems in the theory of elastic materials with voids. J. Elast. 15(2), 215–224 (1985). https://doi.org/10.1007/BF00041994 MathSciNetCrossRefMATH

29.

Ieşan, D.: A theory of thermoelastic materials with voids. Acta Mech. 60(1–2), 67–89 (1986). https://doi.org/10.1007/BF01302942 CrossRef

30.

Ieşan, D.: Thermoelastic Models of Continua, Solid Mechanics and Its Applications, vol. 118. Kluwer Academic Publishers, Dordrecht (2004)CrossRef

31.

Singh, J., Tomar, S.K.: Plane waves in thermo-elastic material with voids. Mech. Mater. 39(10), 932–940 (2007). https://doi.org/10.1016/j.mechmat.2007.03.007 CrossRef

32.

Ignaczak, J., Bialy, J.: Domain of influence in thermoelasticity with one relaxation time. J. Therm. Stress. 3(3), 391–399 (1980). https://doi.org/10.1080/01495738008926977 CrossRef

33.

Ignaczak, J., Carbonaro, B., Russo, R.: Domain of influence theorem in thermoelasticity with one relaxation time. J. Therm. Stress. 9(1), 79–91 (1986). https://doi.org/10.1080/01495738608961889 MathSciNetCrossRef

34.

Kumar, A., Kumar, R.: A domain of influence theorem for thermoelasticity with three-phase-lag model. J. Therm. Stress. 38(7), 744–755 (2015). https://doi.org/10.1080/01495739.2015.1040311 CrossRef

Title: On the influence of voids on the depth of an external signal in thermoelasticity with two relaxation times
Authors: Manuela Carini
Vittorio Zampoli
Publication date: 29-10-2019
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 1/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02547-z

Springer Professional

On the influence of voids on the depth of an external signal in thermoelasticity with two relaxation times

Abstract

Premium Partners

Springer Professional

Abstract

Please log in to get access to your license.

Other articles of this Issue 1/2020

Prediction of the non-isothermal creep strain of a glassy polymer on the basis of dynamic analysis results

A novel method to study the phononic crystals with fluid–structure interaction and hybrid uncertainty

Chaotic analysis of Kelvin–Voigt viscoelastic plates under combined transverse periodic and white noise excitation: an analytic approach

Influence of a 2D magnetic field on hygrothermal bending of sandwich CNTs-reinforced microplates with viscoelastic core embedded in a viscoelastic medium

Answer to Letter to the Editor on the paper D. Burini, S. De Lillo, G. Fioriti “Nonlinear diffusion in arterial tissues: a free boundary problem” Acta Mechanica 229 (10) (2018) pp. 4215–4228

Adiabatic invariants and Lie symmetries on time scales for nonholonomic systems of non-Chetaev type

Premium Partners