A Thermal and Thermal Stress Analysis in Thermoelectric Solid ...

JOURNAL OF THERMOELASTICITY ISSN 2328-241X VOL.1 NO. 2 June 2013 oF i ijElectric conductivityComponents of Lorentz forceKronecker delta functionγ =( 3λ 2 μ)ε 1 =α =β 1 =ε 2 =ηE2γ Tορ C ( λ 2μ )2μHο ολ2μσμccο212ηρCE=k2β = ( λ 2 μ ) o=kομ0e 2 T, Peltier coefficient at T o[10] M. A. Ezzat, H. M. Youssef, “Generation of generalizedmagneto-thermoelastic waves by thermal shock in ahalf-space of finite conductivity,” Ital. J. Pure Appl. Math.vol.19, pp. 9–26, 2006.[11] M. A. Ezzat, H. M. Youssef, “GeneralizedMagneto-Thermoelasticity in Perfectly ConductingMedium,” Int. J. Solids and Struc. vol.42, pp. 6319-6334,2005.[12] M. A. Ezzat, H. M. Youssef, “State space approach forconducting magneto-thermoelastic medium with variableelectrical and thermal conductivity subjected to ramp-typeheating,” J. Thermal Stresses. vol. 32, pp. 414-427, 2009.[13] J. Ignaczak, “A strong discontinuity wave inthermoelasticity with relaxation times,” J. Thermal Stresses,vol. 8, pp. 25- 40, 1985.[14] J. Ignaczak, “Decomposition theorem for thermoelasticitywith finite wave speed,” J. Thermal Stresses. vol. 1, pp.41-52, 1978.[15] M. A. Ezzat, A. S. El Karamany, Propagation ofdiscontinuities in magneto-thermoelastic half-space, J.Thermal Stresses. vol. 28. pp. 331-358, 2008.[16] J.A. Shercliff, “Thermoelectric magnetohydrodynamics,” J.Fluid Mech. vol.191, pp. 231-251, 1979.[17] G. Honig, U. Hirdes, “A method for the numericalinversion of the Laplace transform,“ J. Comp. Appl. Math.vol.10, pp.113 –132, 1984.[18] M. A. Ezzat, E. S. Awad, “Micropolar generalizedmagneto-thermoelasticity with modified Ohm’s andFourier’s laws,” J. Math. Anal. Appl. vol. 99, pp. 353-364,2009.REFERENCES[1] R. B. Hetnarski, Thermal Stresses I, 2nd series, vol. 1,North-Holland, 1986.[2] G. S. Nolas, D. Johnson, D. G. Mandrus, Thermoelectricmaterials and devices. In: Proc. (2002), MaterialsResearch Society. Warrendale, PA, 691, 2002.[3] T. M. Tritt, Semiconductors and semimetals, recent trendsin thermoelectric materials, Research, Academic Press,San Diego, 69–71, 2000.[4] T. M. Tritt, M. G. Kanatzidis, H. B. Lyon, G. D. Mahan,New material for small-scale thermoelectric refrigerationand power generation applications, Materials ResearchSociety, Warrendale, PA, 545, 1998.[5] D. T. Morelli, Thermoelectric devices. In: Trigg G L,Immergut E H (eds.) Encyclopedia of Applied Physics,Wiley-VCH, New York, 21 (1997) 339.[6] D. M. Rowe, CRC Handbook of Thermoelectrics, CRCPress, 1995.[7] R. B. Hetnarski and J. Ignaczak, “Generalizedthermoelasticity,” J. Thermal Stresses, vol. 22, pp.451–476, 1999.[8] 8. H. Lord, Y. Shulman, “Generalized dynamic theory ofthermoelasticity,” J. Mech. Phys. Solids, vol.15, pp.299-309, 1967.[9] H. H. Sherief, M. A. Ezzat, “A thermal shock problem inmagneto-thermo-elasticity with thermal relaxation,” Int. J.Solids and Struct. vol. 33, pp. 4449-4459, 1996.11