A Problem of a Semi-Infinite Medium Subjected to Exponential Heating Using a Dual-Phase-Lag Thermoelastic Model

References

[1] M. Biot, “Thermoelasticity and Irreversible ThermodyNamics,” Journal of Applied Physics, Vol. 27, No. 3, 1956, pp. 240-253. doi:10.1063/1.1722351

[2] H. Lord and Y. Shulman, “A Generalized Dynamical Theory of Thermoelasticity,” Journal of the Mechanics and Physics of Solids, Vol. 15, No. 5, 1967, pp. 299-309. doi:10.1016/0022-5096(67)90024-5

[3] R. Dhaliwal and H. Sherief, “Generalized Thermoelasticity for Anisotropic Media,” Quarterly of Applied Mathematics, Vol. 33, 1980, pp. l-8.

[4] A. E. Green and N. Laws, “On the Entropy Production Inequality,” Archive for Rational Mechanics and Analysis, Vol. 45, No. 1, 1972, pp. 47-53. doi:10.1007/BF00253395

[5] A. E. Green and K. A. Lindsay, “Thermoelasticity,” Journal of Elasticity, Vol. 2, No. 1, 1972, pp. 1-7. doi:10.1007/BF00045689

[6] A. E. Green and P. M. Naghdi, “Thermoelasticity Without Energy Dissipation,” Journal of Elasticity, Vol. 31, No. 3, 1993, pp. 189-208. doi:10.1007/BF00044969

[7] D. Y. Tzou, “Macro- to Microscale Heat Transfer: The Lagging Behavior,” 1st Edition, Taylor & Francis, Wa- shington, 1996.

[8] D. Y. Tzou, “A Unified Approach for Heat Conduction From Macro- to Micro- Scales,” Journal of Heat Transfer, Vol. 117, No. 1, 1995, pp. 8-16. doi:10.1115/1.2822329

[9] D. Y. Tzou, “Experimental Support for the Lagging Behavior in Heat Propagation,” Journal of Thermophysics and Heat Transfer, Vol. 9, 1995, pp. 686-693. doi:10.2514/3.725

[10] V. Danilovskaya, “Thermal Stresses in an Elastic Half- space Due to Sudden Heating of Its Boundary,” Prikl Mat. Mekh., In Russian, Vol. 14, 1950, pp. 316-324.

[11] D. S. Chandrasekharaiah and K. S. Srinath, “One-Dimensional Waves in a Thermoelastic Half-Space Without Energy Dissipation,” International Journal of Engineering Science, Vol. 34, No. 13, 1996, pp. 1447-1455. doi:10.1016/0020-7225(96)00034-1

[12] S. K. Roychoudhuri and P. S. Dutta, “Thermoelastic Interaction Without Energy Dissipation in an Infinite Solid with Distributed Periodically Varying Heat Sources,” International Journal of Solids Structures, Vol. 42, 2005, pp. 4192-4203.

[13] H. Sherief, and R. Dhaliwal, “Generalized One-Dimen- sional Thermal Shock Problem for Small Times,” Journal of Thermal Stresses, Vol. 4, No. 3-4, 1981, pp. 407-420. doi:10.1080/01495738108909976

[14] M. N. Allam, K. A. Elsibai and A. E. Abouelregal, “Magneto-Thermoelasticity for an Infinite Body with a Spherical Cavity and Variable Material Properties Without Energy Dissipation,” International Journal of Solids and Structures, Vol. 47, No. 20, 2010, pp. 2631-2638. doi:10.1016/j.ijsolstr.2010.04.021

[15] G. Honig and U. Hirdes, “A Method for the Numerical Inversion of the Laplace Transform,” Journal of Computational and Applied Mathematics, Vol. 10, No. 1, 1984, pp. 113-132. doi:10.1016/0377-0427(84)90075-X

[16] H. Youssef, “Thermomechanical Shock Problem of Generalized Thermoelastic Infinite Body with a Cylindrical Cavity and Material Properties Depends on the Reference Temperature,” Journal of Thermal Stresses, Vol. 28, No. 5, 2005, pp. 521-532. doi:10.1080/01495730590925029