Browse > Article
http://dx.doi.org/10.12989/sem.2015.53.4.645

Thermoelastic analysis for a slab made of a thermal diode-like material  

Darwish, Feras H. (Aeronautical Engineering Department, Jordan University of Science and Technology)
Al-Nimr, Mohammad A. (Mechanical Engineering Department, Jordan University of Science and Technology)
Hatamleh, Mohammad I. (Mechanical Engineering Department, Jordan University of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.53, no.4, 2015 , pp. 645-659 More about this Journal
Abstract
This research investigates the thermoelastic transient behavior of a thermally loaded slab made of a thermal diode-like material which has two directional thermal conductivity values (low and high). Finite difference analysis is used to obtain the elastic response of the slab based on the temperature solutions. It is found that the rate of heat transfer through the thickness of the slab decreases with reducing the ratio between the low and high thermal conductivity values (R). In addition, reducing R makes the slab less responsive to the thermal load when heated from the direction associated with the low thermal conductivity value.
Keywords
thermal diode like material; thermoelastic transient response; finite difference analysis; low-to-high thermal conductivity ratio;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Addam, A.M.A (2000), "Temperature and thermal stresses in a two layer slab under the effect of the hyperbolic heat conduction model", M.S. Thesis, Mechanical Engineering Department, Jordan University of Science and technology, Jordan.
2 Al-Huniti, N.S. and Al-Nimr, M. (2000), "Behavior of thermal stresses in a rapidly-heated thin plate", J. Therm. Stress., 23, 293-307.   DOI
3 Al-Huniti, N.S., Al-Nimr, M.A. and Naji, M. (2001), "Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model", J. Sound. Vib., 242, 629-640.   DOI   ScienceOn
4 Al-Nimr, M.A. and Al-Huniti, N.S. (2000), "Transient thermal stresses in a thin elastic plate due to a rapid dual-phase-lag heating", J. Therm. Stress., 23, 731-746.   DOI
5 Al-Nimr, M.A. and Abou-Arab, T.W. (1994), "Transient temperature distribution within a flat sheet during the welding process-analytical solution", Heat Transf. Eng., 15, 27-33.   DOI
6 Boley, B. and Weiner, J. (1985), Theory of Thermal Stresses, Krieger, Florida.
7 Brischetto, S.R., Leetsch, E., Carrera, T. and Wallmersperger, B. (2008), "Thermo-Mechanical bending of functionally graded plates", J. Therm. Stress., 31, 286-308.   DOI
8 Darwish, F.H., AL-Nimr, M.A. and AL-Hunti, N.S. (2012), "Transient response of a clamped slab under pressure and thermal loads", J. Therm. Stress., 35, 470-484.   DOI
9 Feng, W.J., Pan, E. and Wang, X. (2008), "Stress analysis of a penny-shaped crack in a magneto-electrothermo-elastic layer under uniform heat flow and shear loads", J. Therm. Stress., 31, 497-514.   DOI
10 Hata, T. (2001), "Thermal stresses focusing effect following rapid non uniform heating of long cylindrical rods", J. Therm. Stress., 24(2), 93-104.   DOI
11 Hu, B., Li, H. and Xie, B.S. (2005), "Heat conduction in a one-dimensional Yukawa chain", Europhys. Lett., 69, 358.   DOI
12 Iesan, D. (2008), "Thermo-elastic deformation of porous Cosserat beams", J. Therm. Stress., 31, 823-847.   DOI
13 Kreith, F. and Black, W.A. (1980), Basic Heat Transfer, Harper and Row, New York, U.S.A.
14 Nowacki, W. (1986), Thermoelasticity, Second Edition, Pergamon Press, PWN, Warsaw.
15 Tall, L. (1964), "Residual stresses in welded plates-a theoretical study", Weld. J., 43, 10-23.
16 Shahani, A.R. and Bashusqeh, S.M. (2013), "Analytical solution of the coupled thermo-elasticity problem in a pressurized sphere", J. Therm. Stress., 36, 1283-1307.   DOI
17 Suh, C. and Burger, C. (1998), "Thermoelastic modeling of laser-induced stress waves in plates", J. Therm. Stress., 21, 829-847.   DOI
18 Sumi, N., Hetnarski, R.B. and Noda, N. (1987), "Transient thermal stresses due to a local source of heat moving over the surface of an infinite elastic slab", J. Therm. Stress., 10, 83-96.   DOI
19 Terraneo, M., Peyrard, M. and Casati, G. (2002), "Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier", Phys. Rev. Lett., 88, 094302.   DOI
20 Tzou, D.Y. (1997), Macro-to Microscale Heat Transfer, Taylor and Francis, Washington, DC.
21 Ugural, A.C. (1999), Stresses in Plates and Shells, McGraw Hill, New York, U.S.A.
22 Wang, B., Li, L. and Casati, G. (2004), "Thermal diode: rectification of heat flux", Phys. Rev. Lett., 93, 184301.   DOI
23 Wang, B., Li, L. and Casati, G. (2006), "Negative differential thermal resistance and thermal transistor", Phys. Lett., 88, 143501.
24 Xu, Y., Zhou, D. and Liu, K. (2010), "Three-dimensional thermoelastic analysis of rectangular plates with variable thickness subjected to thermomechanical loads", J. Therm. Stress., 33, 1136-1155.   DOI