Reflection of generalized thermoelastic waves from isothermal and insulated boundaries of a half space

The problem of reflection of P-wave and SV-wave on the boundary of a half-space of homogeneous, isotropic generalized thermoelastic medium have been investigated when the boundary is stress-free as well as insulated or isothermal. Green-Nagdhi theory of generalized thermoelasticity has been applied to determine the amplitude ratios of the various cases that arise in the situation. Finally, analysis of the results are made with graphical representations.

[1]  P. M. Naghdi,et al.  A re-examination of the basic postulates of thermomechanics , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[2]  Khaled A. Elsibai,et al.  REFLECTION OF THERMOELASTIC WAVES AT A SOLID HALF-SPACE WITH TWO RELAXATION TIMES , 1996 .

[3]  R. J. von Gutfeld,et al.  Temperature Dependence of Heat-Pulse Propagation in Sapphire , 1966 .

[4]  Humphrey J. Maris,et al.  Phonon Focusing in Solids , 1969 .

[5]  R. Tye,et al.  thermal conductivity , 2019 .

[6]  Robert A. Guyer,et al.  SECOND SOUND IN SOLID HELIUM , 1966 .

[7]  P. M. Naghdi,et al.  Thermoelasticity without energy dissipation , 1993 .

[8]  S. J. Rogers.  Transport of Heat and Approach to Second Sound in Some Isotopically Pure Alkali-Halide Crystals , 1971 .

[9]  Khaled A. Elsibai,et al.  Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times , 1997 .

[10]  P. M. Naghdi,et al.  On thermodynamics and the nature of the second law , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[11]  J. Achenbach.  Wave propagation in elastic solids , 1962 .

[12]  Robert A. Guyer,et al.  Thermal Conductivity, Second Sound, and Phonon Hydrodynamic Phenomena in Nonmetallic Crystals , 1966 .

[13]  M. Biot.  Thermoelasticity and Irreversible Thermodynamics , 1956 .

[14]  H. Jackson,et al.  Thermal Conductivity, Second Sound, and Phonon-Phonon Interactions in NaF , 1971 .

[15]  P. M. Naghdi,et al.  A demonstration of consistency of an entropy balance with balance of energy , 1991 .

[16]  L. Nappa,et al.  THERMOELASTIC DEFORMATION OF MICROSTRETCH ELASTIC BEAMS , 1996 .

[17]  H. Lord,et al.  A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY , 1967 .

[18]  J. N. Sharma,et al.  REFLECTION OF GENERALIZED THERMOELASTIC WAVES FROM THE BOUNDARY OF A HALF-SPACE , 2003 .

[19]  Robert C. Dynes,et al.  Observation of second sound in bismuth , 1972 .