Internal Heat Source in Temperature Rate Dependent Thermoelastic Medium with Hydrostatic Initial Stress

• Autorzy: Ailawalia P. , Budhiraja S.
• Języki publikacji: EN

Abstrakty

EN

The present work is devoted to study the effect of hydrostatic initial stress in an infinite isotropic generalized thermoelastic medium with the dependence of modulus of elasticity and thermal conductivity on the reference temperature. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is chosen. The results for the displacement components, force stress and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for Lord–Shulman theory of thermoelasticity when mechanical force is applied.

Słowa kluczowe

EN

thermoelasticity; hydrostatic initial stress; internal heat source; normal mode; modulus of elasticity; thermal conductivity

PL

termosprężystość; naprężenie; wewnętrzne źródła ciepła; moduł sprężystości; przewodność cieplna

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 20, nr 3
• Strony: 263--275
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Ailawalia P.

• Department of Applied Sciences M M University, Sadopur Ambala City, Haryana, India

autor

Budhiraja S.

• PunjabTechnical University Jalandhar, Punjab, India

Bibliografia

• [1] Biot, M. A.: Thermoelasticity and irreversible temodynamics, Journal of Applied Physics, 27, 240–253, 1956.
• [2] Kaliski, S.: Wave propagation of heat conduction, Bull Polish Academy of Science and Technology, 12, 211–219, 1965.
• [3] Lord, H. W. and Shulman, Y.: A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, 15,299–309, 1967.
• [4] Muller, L.: The coldness universal function in thermoelastic bodies, Archive of Rational Mechanics Analysis, 41, 319–332, 1971.
• [5] Green, A. E. and Laws, N.: On the entropy production inequality, Archives of Rational Mechanics and Analysis, 45(1), 47–53, 1972.
• [6] Green, A. E. and Lindsay, K.A.: Thermoelasticity, Journal of Elasticity, 2(1), 1–7, 1972.
• [7] Suhubi, E. S.: Thermoelastic solids, in A.C. Eringen, continuum physics, Academics Press, London, 1975. bibitem[8] El-Naggar, A. M. and Abd-Alla, A. M.: On a generalized theroelastic problem in an infinite cylinder under initial stress, Earth Moon Planets, 37,213–223, 1987.
• [8] Chandrasekharaiah, D. S.: A generalized linear thermoelasticity theory for piezoelectric media, Applied Mechanics Reviews, 51(12), 705–729, 1998.
• [9] Chandrasekharaiah, D. S.: One–dimensional wave propagation in the linear theory of thermoelasticity with energy dissipation, Journal of Thermal Stresses, 19, 695–710, 1996.
• [10] Chandrasekharaiah, D. S. and Srinath, D. S: Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylinderical cavity, Journal of Elasticity, 46(1), 19–31, 1997.
• [11] Chandrasekharaiah, D. S. and Srinath, D. S: Thermoelastic plane waves without energy dissipation in a rotating body, Mechanics Research Communications, 24(5), 551–560, 1997.
• [12] Sharma, J. N. and Chauhan, R. N.: On the problems of body forces and heat sources in thermoelasticity without energy dissipation, Indian Journal of Pure and Applied Mathematics, 30(6), 595–610, 1999.
• [13] Green, A. E. and Naghdi, P. M.: A re-examination of the basic postulates of thermomechanics, Procedding of the Royal Society, 432, 171–194, 1991.
• [14] Green, A. E. and Naghdi, P. M.: On undamped heat waves in an elastic solid, Journal of Thermal Stresses, 15, pp. 253–264, 1992.
• [15] Green, A. E. and Naghdi, P. M.: The theory of thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189–208, 1993.
• [16] Chandrasekharaiah, D. S.: Thermoelastic planewaves without energy dissipation, Mechanics Research Communications, 23, 549–555, 1996.
• [17] Mukhopadhyay, S.: Thermoelastic interactions without energy dissipation in an unbounded medium with a spherical cavity due to a thermal shock at the boundary, Journal of Thermal Stresses, 25, 877–887, 2002.
• [18] Montanaro, A.: On Singular surface in isotropic linear thermoelasticity with initial stress, Journal of Acoustical Society of America, 106, 1586–1588, 1999.
• [19] Singh, B., Kumar, A. and Singh, J.: Reflection of generalized thermoelastic waves from a solid half–space under hydrostatic initial stress, Journal of Applied Mathematics and Computation, 177, 170–177, 2006.
• [20] Othman, M. I. A. and Song. Y.: Reflection of plane waves from an elastic solid half–space under hydrostatic initial stress without energy dissipation, International Journal of Solids and Structures, 44, 5651–5664, 2007.
• [21] Singh, B.: Effect of hydrostatic initial stresses on waves in a thermoelastic solid half–space, Journal of Applied Mathematics and Computation, 198, 494–505, 2008.
• [22] Youssef, H. M.: The dependence of the modulus of elasticity and thermal conductivity on the refernce temperature in generalized thermoelasticity with a spheriacl cavity of an infinite material with a spherical cavity, Applied Mathematics and Mechanics, 26(4), 431–436, 2005.
• [23] Ezzat, M., Zakaria, M. and Abdel-Bary, A.: Generalized thermoelasticity with temperature dependent modulus of elasticity under three theories, Journal of Applied Mathematics and Computation, 14, 193–212, 2005.
• [24] Tianhu, H. and Shuanhu, S.: Effect of temperature–dependent properties on thermoelastic problems with thermal relaxations, Acta Mechanica Solida Sinica, 27(4), 412–419, 2014.
• [25] Chakravorty, S. and Chakravorty, A.: Transient disturbances in a relaxing thermoelastic half space due to moving stable internal heat source, International Journal of Mathematics and Mathematical Sciences, 21, 595–602, 1998.
• [26] Kumar, R. and Devi, S.: Thermomechanical interactions in porous generalized thermoelastic material permeated with heat source, Multidiscipline Modeling in Materials and Structures, 4, 237–254, 2008.
• [27] Lotfy, K.: Transient disturbance in a half–space under generalized magnetothermoelasticity with a stable internal heat source under three theories, Multidiscipline Modeling in Materials and Structures, 7(1), 73–90, 2011.
• [28] Lotfy, K.: Transient thermo-elastic disturbances in a visco-elastic semi–space due to moving internal heat source, International Journal of Structural integrity, 2, 264–280, 2011.
• [29] Othman, M. I. A.: State space approach to generalized thermoelastic problem with temperature elastic moduli and internal heat source. Journal of Applied Mechanics and Techanical Physics, 52(4), 644–656, 2011.
• [30] Sharma, J. N.: Some Considerations on the Rayleigh–Lamp Wave Propagation in Visco–Thermoelastic Plates, Journal of Vibration and Control, 11, 1311–1335, 2005.