Disturbance due to internal heat source in thermoelastic solid using dual phase lag model

- Journal title : Structural Engineering and Mechanics
- Volume 56, Issue 3, 2015, pp.341-354
- Publisher : Techno-Press
- DOI : 10.12989/sem.2015.56.3.341

Title & Authors

Disturbance due to internal heat source in thermoelastic solid using dual phase lag model

Ailawalia, Praveen; Singla, Amit;

Ailawalia, Praveen; Singla, Amit;

Abstract

The dual-phase lag heat transfer model is employed to study the problem of isotropic generalized thermoelastic medium with internal heat source. The normal mode analysis is used to obtain the exact expressions for displacement components, force stress and temperature distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. The results are discussed and depicted graphically.

Keywords

dual-phase-lag model;thermoelasticity;temperature distribution;normal-mode;

Language

English

Cited by

References

1.

Banerjee, M.K. (2015), "Microstructural engineering of dual phase steel to aid in bake hardening", Adv.Mater. Res., 4(1), 1-12.

2.

Biot, M.N. (1956), "Thermoelasticity and irreversible thermodynamics", J. Appl. Phys., 27(3), 240-253.

3.

Chadwick, P. (1960), In Progress In Solid Mechanics, Vol. I, Eds. R. Hill and I.N. Sneddon, North Holland, Amsterdam.

4.

Chakravorty, S. and Chakravorty, A. (1998), "Transient disturbances in a relaxing thermoelastic half space due to moving stable internal heat source", Int. J. Math. Math. Sci., 21, 595-602.

5.

Chandrasekharaiah, D.S. (1986), "Thermo-elasticity with second sound", Appl. Mech. Rev., 39(3), 355-375.

6.

Chandrasekharaiah, D.S. (1998), "Hyperbolic thermo-elasticity: a review of recent literature", Appl. Mech. Rev., 51(12), 705-729.

7.

Chandrasekharaiah, D.S and Murthy, H.N. (1993), "Thermoelastic interactions in an unbounded body with a spherical cavity", J. Therm. Stress., 16, 55-70.

8.

Chandrasekharaiah, D.S. and Srinath, K.S. (1996), "One-dimensional waves in a thermoelastic half-space without energy dissipation", Int. J. Eng. Sci., 34(13), 1447-1455.

9.

Dhaliwal, R.S and Rokne, J.G. (1988), "One-dimensional generalized thermo-elastic problem for a half-space", J. Therm. Stress., 11, 257-271.

10.

Dhaliwal, R.S. and Rokne, J.G. (1989), "One-dimensional thermal shock problem with two relaxation times", J. Therm. Stress., 12, 259-279.

11.

El-Karamany, A.S. and Ezzat, M.A. (2014), "On the dual phase-lag thermoelasticity theory", Meccanica, 49, 79-89.

13.

Green, A.E. and Naghdi, P.M. (1977), "On thermodynamics and the nature of the second law", Proc. R. Soc. Lond. A, 357, 253-270.

14.

Green, A.E. and Naghdi, P.M. (1992), "On undamped heat waves in an elastic solid", J. Therm. Stress., 15, 253-264.

15.

Green, A.E. and Naghdi, P.M. (1993), "Thermoelasticity without energy dissipation", J. Elasticity, 31(3), 189-208.

16.

Ignaczak, J. (1989), In Thermal Stresses, Vol. III, Chap. 4, Ed. R.B. Hetnarski, Elsevier, Oxford.

17.

Kaminski, W. (1990), "Hyperbolic heat conduction equation for materials with a non-homogenous inner structure", J. Heat Transf., 112, 555-560.

18.

Kothari, S. and Mukhopadhyay, S. (2013), "Some theorems in linear thermoelasticity with dual phase-lags for an anisotropic medium", J. Thermal. Stress., 36, 985-1000.

19.

Kumar, R. and Devi, S. (2008), "Thermomechanical interactions in porous generalized thermoelastic material permeated with heat source", Multidisc. Model. Mater. Struct., 4, 237-254.

20.

Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid., 15(5), 299-309.

21.

Lotfy, K. (2010), "Transient disturbance in a half-space under generalized magneto-thermoelasticity with a stable internal heat source under three theories", Multidisc. Model. Mater. Struct., 7, 73-90.

22.

Lotfy, K. (2011), "Transient thermo-elastic disturbances in a visco-elastic semi-space due to moving internal heat source", Int. J. Struct. Intg., 2, 264 - 280.

23.

Mitra, K., Kumar, S. and Vedaverz, A. (1995), "Experimental evidence of hyperbolic heat conduction in processed meat", J. Heat Transf., 117, 568-573.

24.

Othman, M.I.A. (2011), "State space approach to the generalized thermoelastic problem with temperature-dependent elastic moduli and internal heat sources", J. Appl. Mech. Tech., 52, 644-656.

25.

Ozisik, M.N. and Tzou, D.Y. (1994), "On the wave theory of heat conduction", J. Heat Transf., ASME, 116, 526-535.

26.

Roy Chaudhuri, S.K. and Debnath, L. (1983), "Magneto- thermo-elastic plane waves in rotating media", Int. J. Eng. Sci., 21(2), 155-163.

27.

Roy Chaudhuri, S.K. (1984), "Electro-megneto-thermo-elastic plane waves in rotating media with thermal relaxation", Int. J. Eng. Sci., 22(5), 519-530.

28.

Roy Chaudhuri, S.K. (1985), "Effect of rotation and relaxation times on plane waves in generalized thermoelasticity", J. Elasticity, 15(1), 59-68.

29.

Roy Chaudhuri, S.K. (1987), "On magneto thermo-elastic plane waves in infinite rotating media with thermal relaxation", Proceedings Of The IUTAM Symposium On The Electromagnetomechanical Interactions In Deformable Solids and Structures, Tokyo.

30.

Roy Chaudhuri, S.K. (1990), "Magneto-thermo-micro-elastic plane waves in finitely conducting solids with thermal relaxation", Proceedings of the IUTAM Symposium On Mechanical Modeling of New Electromagnetic Materials, Stockholm.

31.

Roy Chaudhuri, S.K. and Dutta, P.S. (2005), "Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varing heat sources", Int. J. Solid. Struct., 42(14), 4192-4203.

32.

Roy Chaudhuri, S.K. and Bandyopadhyay, N. (2005), "Thermoelastic wave propagation in a rotating elastic medium without energy dissipation", Int. J. Math. Math. Sci., 1, 99-107.

33.

Roy Chaudhuri, S.K. and Banerjee, M. (2004), "Magnetoelastic plane waves in rotating media in thermoelasticity of Type II(G-N model)", Int. J. Math. Math. Sci., 71, 3917-3929.