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

다국어 초록 (Multilingual 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 ratiobetween 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.

참고문헌 (Reference)

1 Al-Nimr, M.A., "Transient thermal stresses in a thin elastic plate due to a rapid dual-phase-lag heating" 23 : 731-746, 2000

2 Sumi, N., "Transient thermal stresses due to a local source of heat moving over the surface of an infinite elastic slab" 10 : 83-96, 1987

3 Al-Nimr, M.A., "Transient temperature distribution within a flat sheet during the welding process-analytical solution" 15 : 27-33, 1994

4 Darwish, F. H., "Transient response of a clamped slab under pressure and thermal loads" 35 : 470-484, 2012

5 Xu, Y., "Three-dimensional thermoelastic analysis of rectangular plates with variable thickness subjected to thermomechanical loads" 33 : 1136-1155, 2010

6 Nowacki, W., "Thermoelasticity" Pergamon Press 1986

7 Suh, C., "Thermoelastic modeling of laser-induced stress waves in plates" 21 : 829-847, 1998

8 Ieşan, D., "Thermo-elastic deformation of porous Cosserat beams" 31 : 823-847, 2008

9 Brischetto, S. R., "Thermo-Mechanical bending of functionally graded plates" 31 : 286-308, 2008

10 Hata, T., "Thermal stresses focusing effect following rapid non uniform heating of long cylindrical rods" 24 (24): 93-104, 2001

11 Wang, B., "Thermal diode: rectification of heat flux" 93 : 184301-, 2004

12 Boley, B., "Theory of Thermal Stresses" Krieger 1985

13 Addam, A. M. A, "Temperature and thermal stresses in a two layer slab under the effect of the hyperbolic heat conduction model" Jordan University of Science and technology 2000

14 Ugural, A. C., "Stresses in Plates and Shells" McGraw Hill 1999

15 Feng, W. J., "Stress analysis of a penny-shaped crack in a magneto-electro-thermo-elastic layer under uniform heat flow and shear loads" 31 : 497-514, 2008

16 Tall, L., "Residual stresses in welded plates-a theoretical study" 43 : 10-23, 1964

17 Wang, B., "Negative differential thermal resistance and thermal transistor" 88 : 143501-, 2006

18 Tzou, D. Y., "Macro-to Microscale Heat Transfer" Taylor and Francis 1997

19 Hu, B., "Heat conduction in a one-dimensional Yukawa chain" 69 : 358-, 2005

20 Al-Huniti, N. S., "Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model" 242 : 629-640, 2001

21 Terraneo, M., "Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier" 88 : 094302-, 2002

22 Al-Huniti, N.S., "Behavior of thermal stresses in a rapidly-heated thin plate" 23 : 293-307, 2000

23 Kreith, F., "Basic Heat Transfer" Harper and Row 1980

24 Shahani, A.R., "Analytical solution of the coupled thermo-elasticity problem in a pressurized sphere" 36 : 1283-1307, 2013