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http://dx.doi.org/10.12989/eas.2017.13.2.201

Thermoviscoelastic orthotropic solid cylinder with variable thermal conductivity subjected to temperature pulse heating  

Abouelregal, A.E. (Department of Mathematics, Faculty of Science, Mansoura University)
Zenkour, A.M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Publication Information
Earthquakes and Structures / v.13, no.2, 2017 , pp. 201-209 More about this Journal
Abstract
This work aims to analyze the thermo-viscoelastic interaction in an orthotropic solid cylinder. The medium is considered to be variable thermal conductivity and subjected to temperature pulse. Analytical solution based on dual-phase-lags model with Voigt-type for behavior of viscoelastic material has been effectively proposed. All variables are deduced using method of Laplace transforms. Numerical results for different distribution fields, such as temperature, displacement and stress components are graphically presented. Results are discussed to illustrate the effect of variability thermal conductivity parameter as well as phase-lags and viscoelasticity on the field quantities. Results are obtained when the viscosity is ignored with and without considering variability of thermal conductivity. A comparison study is made and all results are investigated.
Keywords
thermoviscelasticity; orthotropic medium; solid cylinder; temperature pulse; variable thermal conductivity; dual-phase-lags;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 Drozdov, A.D. (1999), "A constitutive model in finite thermoviscoelasticity based on the concept of transient networks", Acta Mech., 133(1-4), 13-37.   DOI
2 Eringen, A.C. (1967), "Mechanic of continua", New York: John Wiley, Sons. Inc.
3 Ezzat, M.A., El-Karamany, A.S. and El-Bary, A.A. (2014), "Generalized thermo-viscoelasticity with memory-dependent derivatives", Int. J. Mech. Sci., 89, 470-475.   DOI
4 Ezzat, M.A., El-Karamany, A.S., El-Bary, A.A. and Fayik, M.A. (2013), "Fractional calculus in one-dimensional isotropic thermo-viscoelasticity", Comptes Rendus Mecan., 341(7), 553-566.   DOI
5 Green, A.E. and Lindsay, K.A. (1971), "Thermoelasticity", J. Elast., 2(1), 1-7.   DOI
6 Green, A.E. and Naghdi, P.M. (1993), "Thermoelasticity without energy dissipation", J. Elast., 31(3), 189-209.   DOI
7 Honig, G. and Hirdes, U. (1984), "A method for the numerical inversion of Laplace transform", J. Comput. Appl. Math., 10(1), 113-132.   DOI
8 Kanoria, M. and Mallik, S.H. (2010), "Generalized thermoviscoelastic interaction due to periodically varying heat source with three-phase-lag effect", Eur. J. Mech. A/Solids, 29(4), 695-703.   DOI
9 Kovalenko, A.D. and Karnaukhov, V.G. (1972), "A linearized theory of thermoviscoelasticity", Polymer Mech., 8(2), 194-199.   DOI
10 Kumar, R. and Partap, G. (2011), "Vibration analysis of wave motion in micropolar thermoviscoelastic plate", Struct. Eng. Mech., 39(6), 861-875.   DOI
11 Kundu, M.R. and Mukhopadhyay, B. (2005), "A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity", Math. Comput. Model., 41(1), 25-32.   DOI
12 Othman, M.I.A. (2005), "Effect of rotation and relaxation time on a thermal shock problem for a half-space in generalized thermo-viscoelasticity", Acta Mech., 174(3), 129-143.   DOI
13 Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid, 15(5), 299-309.   DOI
14 Misra, J.C., Chattopadhyay, N.C. and Samanta, S.C. (1996), "Study of the thermoelastic interactions in an elastic half space subjected to a ramp-type heating-a state-space approach", Int. J. Eng. Sci., 34(5), 579-596.   DOI
15 Noda, N. (1986), "Thermal stresses in materials with temperature-dependent properties", Thermal Stresses I, ed., R.B. Hetnarski, North-Holland, Amsterdam.
16 Tzou, D.Y. (1996), Macro to micro-scale heat transfer: The Lagging behavior, Taylor and Francis, Washington DC.,USA.
17 Sarkar, N. and Lahiri, A. (2013), "The effect of fractional parameter on a perfect conducting elastic half-space in generalized magneto-thermoelasticity", Meccanica, 48(1), 231-245.   DOI
18 Tian, X. and Shen, Y. (2005), "Study on generalized magneto-thermoelastic problems by FEM in time domain", Acta Mech. Sin., 21(4), 380-387.   DOI
19 Tzou, D.Y. (1995), "A unified approach for heat conduction from macro-to micro-scales", J. Heat Transfer, 117, 8-16.   DOI
20 Zenkour, A.M. (2015), "Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories", Compos. Struct., 132, 1029-1042.   DOI
21 Zenkour A.M. and Abouelregal, A.E. (2016), "Non-simple magnetothermoelastic solid cylinder with variable thermal conductivity due to harmonically varying heat", Earthq. Struct., 10(3), 681-697.   DOI
22 Zenkour, A.M. (2016), "Two-dimensional coupled solution for thermoelastic beams via generalized dual-phase-lags model", Math. Model. Anal., 21(3), 319-335.   DOI
23 Zenkour A.M. and Abouelregal, A.E. (2014), "The effect of two temperatures on a FG nanobeam induced by a sinusoidal pulse heating", Struct. Eng. Mech., 51(2), 199-214.   DOI
24 Zenkour A.M. and Abouelregal, A.E. (2015), "Effects of phase-lags in a thermoviscoelastic orthotropic continuum with a cylindrical hole and variable thermal conductivity", Arch. Mech., 67(6), 457-475.
25 Zenkour, A.M., Mashat, D.S. and Abouelregal, A.E. (2013), "The effect of dual-phase-lag model on reflection of thermoelastic waves in a solid half space with variable material properties", Acta Mech. Solida Sin., 26(6), 659-670.   DOI
26 Abouelregal, A.E. and Zenkour, A.M. (2014), "Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating", IJST, Trans. Mech. Eng., 38(M2), 321-335.
27 Zenkour, A.M., Zahrani, E.O. and Abouelregal, A.E. (2015), "Generalized magneto-thermoviscoelasticity in a perfectly conducting thermodiffusive medium with a spherical cavity", J. Earth Sys. Sci., 124(8), 1709-1719.   DOI
28 Abbas, I.A. and Zenkour, A.M. (2014), "Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating", J. Comput. Theor. Nanosci., 11(3), 642-645.   DOI
29 Abd-Alla, A.M., Abo-Dahab, S.M. and Khan, A. (2017), "Rotational effect on thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order", Struct. Eng. Mech., 61(2), 221-230.   DOI
30 Abd-Alla, A.M., Hammad, H.A.H. and Abo-Dahab, S.M. (2004), "Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading", Appl. Math. Comp., 155(1), 235-248.   DOI
31 Baksi, A., Roy, B.K. and Bera, R.K. (2006), "Eigenvalue approach to study the effect of rotation and relaxation time in generalized magneto-thermo-viscoelastic medium in one dimension", Math. Comput. Model., 44(11), 1069-1079.   DOI
32 Baksi, A., Roy, B.K. and Bera, R.K. (2008), "Study of two dimensional visco-elastic problems in generalized thermoelastic medium with heat source", Struct. Eng. Mech., 29(6), 673-687.   DOI