[1]
|
H. Lord and Y. Shulman, “A Generalised 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
|
[2]
|
A. E. Green and K. A. Lindsay, “Thermoelasticity,” Journal of Elasticity, Vol. 2, No. 1, 1972, pp. 1-7.
doi:10.1007/BF00045689
|
[3]
|
J. Ignaczak and M. Ostoja-Starzewski, “Thermoelasticity with Finite Wave Speeds,” Oxford University Press, Oxford, 2009.
|
[4]
|
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
|
[5]
|
R. B. Hetnarski and J. Ignaczak, “Generalized Thermoelasticity,” Journal of Thermal Stresses, Vol. 22, No. 4-5, 1999, pp. 451-476. doi:10.1080/014957399280832
|
[6]
|
H. Deresiewicz, “Effect of Boundaries on Waves in a Thermo-Elastic Solid: Reflection of Plane Waves from Plane Boundary,” Journal of the Mechanics and Physics of Solids, Vol. 8, No. 3, 1960, pp. 164-172.
doi:10.1016/0022-5096(60)90035-1
|
[7]
|
A. N. Sinha and S. B. Sinha, “Reflection of Thermoelastic Waves at a Solid Half Space with Thermal Relaxation,” Journal of Physics of the Earth, Vol. 22, No. 2, 1974, pp. 237-244. doi:10.4294/jpe1952.22.237
|
[8]
|
S. B. Sinha and K. A. Elsibai, “Reflection of Thermoelastic Waves at a Solid Half-Space with Two Thermal Relaxation Times,” Journal of Thermal Stresses, Vol. 19, No. 8, 1996, pp. 763-777.
doi:10.1080/01495739608946205
|
[9]
|
S. B. Sinha and K. A. Elsibai, “Reflection and Refraction of Thermoelastic Waves at an Interface of Two Semi-Infinite Media with Two Thermal Relaxation Times,” Journal of Thermal Stresses, Vol. 20, No. 2, 1997, pp. 129-146. doi:10.1080/01495739708956095
|
[10]
|
J. N. Sharma, V. Kumar and D. Chand, “Reflection of Generalized Thermoelastic Waves from the Boundary of a Half-Space,” Journal of Thermal Stresses, Vol. 26, No. 10, 2003, pp. 925-942. doi:10.1080/01495730306342
|
[11]
|
M. I. A. Othman and Y. Song, “Reflection of Plane Waves from an Elastic Solid Half-Space under Hydrostatic Initial Stress without Energy Dissipation,” International Journal of Solids and Structures, Vol. 44, No. 17, 2007, pp. 5651-5664. doi:10.1016/j.ijsolstr.2007.01.022
|
[12]
|
B. Singh, “Effect of Hydrostatic Initial Stresses on Waves in a Thermoelastic Solid Half-Space,” Applied Mathematics and Computation, Vol. 198, No. 2, 2008, pp. 494-505.
doi:10.1016/j.amc.2007.08.072
|
[13]
|
B. Singh, “Reflection of Plane Waves at the Free Surface of a Monoclinic Thermoelastic Solid Half-Space,” European Journal of Mechanics—A/Solids, Vol. 29, No. 5, 2010, pp. 911-916.
doi:10.1016/j.euromechsol.2010.05.005
|
[14]
|
M. E. Gurtin and W. O. Williams, “On the Clausius-Duhem Inequality,” Zeitschrift für Angewandte Mathematik und Physik ZAMP, Vol. 17, No. 5, 1966, pp. 626-633.
doi:10.1007/BF01597243
|
[15]
|
M. E. Gurtin and W. O. Williams, “An Axiomatic Foundation/or Continuum Thermodynamics,” Archive for Rational Mechanics and Analysis, Vol. 26, No. 2, 1967, pp. 83-117. doi:10.1007/BF00285676
|
[16]
|
P. J. Chen and M. E. Gurtin, “On a Theory of Heat Conduction Involving Two Temperatures,” Zeitschrift für Angewandte Mathematik und Physik ZAMP, Vol. 19, No. 4, 1968, pp. 614-627. doi:10.1007/BF01594969
|
[17]
|
P. J. Chen, M. E. Gurtin and W. O. Williams, “A Note on Non-Simple Heat Conduction,” Zeitschrift für Angewandte Mathematik und Physik ZAMP, Vol. 19, No. 4, 1968, pp. 969-970. doi:10.1007/BF01602278
|
[18]
|
P. J. Chen, M. E. Gurtin and W. O. Williams, “On the Thermodynamics of Non-Simple Elastic Materials with Two-Temperatures,” Zeitschrift für Angewandte Mathematik und Physik ZAMP, Vol. 20, No. 1, 1969, pp. 107-112. doi:10.1007/BF01591120
|
[19]
|
W. E. Warren and P. J. Chen, “Wave Propagation in the Two-Temperature Theory of Thermoelasticity,” Acta Mechanica, Vol. 16, No. 1-2, 1973, pp. 21-33.
doi:10.1007/BF01177123
|
[20]
|
B. A. Boley and I. S. Tolins, “Transient Coupled Thermoplastic Boundary Value Problems in the Half-Space,” Journal of Applied Mechanics, Vol. 29, No. 4, 1962, pp. 637-646. doi:10.1115/1.3640647
|
[21]
|
P. Puri and P. M. Jordan, “On the Propagation of Harmonic Plane Waves under the Two-Temperature Theory,” International Journal of Engineering Science, Vol. 44, No. 17, 2006, pp. 1113-1126.
doi:10.1016/j.ijengsci.2006.07.002
|
[22]
|
R. Quintanilla and P. M. Jordan, “A Note on the Two Temperature Theory with Dual-Phase-Lag Delay: Some Exact Solutions,” Mechanics Research Communications, Vol. 36, No. 7, 2009, pp. 796-803.
doi:10.1016/j.mechrescom.2009.05.002
|
[23]
|
H. M. Youssef, “Theory of Two-Temperature Generalized Thermoelasticity,” IMA Journal of Applied Mathematics, Vol. 71, No. 3, 2006, pp. 383-390.
doi:10.1093/imamat/hxh101
|
[24]
|
R. Kumar and S. Mukhopadhyay, “Effects of Thermal Relaxation Time on Plane Wave Propagation under Two-Temperature Thermoelasticity,” International Journal of Engineering Science, Vol. 48, No. 2, 2010, pp. 128-139.
doi:10.1016/j.ijengsci.2009.07.001
|
[25]
|
A. Magana and R. Quintanilla, “Uniqueness and Growth of Solutions in Two-Temperature Generalized Thermoelastic Theories,” Mathematics and Mechanics of Solids, Vol. 14, No. 7, 2009, pp. 622-634.
doi:10.1177/1081286507087653
|
[26]
|
H. M. Youssef, “Theory of Two-Temperature Thermoelasticity without Energy Dissipation,” Journal of Thermal Stresses, Vol. 34, No. 2, 2011, pp. 138-146.
doi:10.1080/01495739.2010.511941
|