On Reflection and Transmission of p- and Sv-Waves Phenomena at the Interface Between Solid-Liquid Media with Magnetic Field and Two Thermal Relaxation Times

REFERENCES

• M. A. Biot , Thermoelasticity and Irreversible Thermodynamics , J. Appl. Phys. vol. 27 , pp. 240 – 253 , 1956 .
   Web of Science ®Google Scholar
• H. W. Lord and Y. Shulman , A generalized Dynamical Theory of Thermoelasticity , J. Mech. Phys. Solids , vol. 15 , pp. 299 – 309 , 1967 .
   Web of Science ®Google Scholar
• A. E. Green and A. Lindsay , Thermoelasticity, J. Elasticity , vol. 2, pp. 1–7, 1972.
   Google Scholar
• J. D. Achenbach , Wave Propagation in Elastic Solids , North Holland Publishing Company , Amsterdam , 1973 .
   Google Scholar
• G. S. Kino , Acoustic Waves: Devices, Imaging, and Analog Signal Processing , Prentice Hall, Inc. , Englewood Cliffs , New Jersey , 1987 .
   Google Scholar
• K. F. Graff , Wave Motion in Elastic Solids , Dover Publication , New York , 1991 .
   Google Scholar
• O. Arikan , E. Telator , and A. Atalar , Reflection Coefficient Null of Acoustic Waves at a Liquid–Anisotropic-Solid Interface , J. Acou. Soci. Amer. , vol. 85 , pp. 1 – 10 , 1989 .
   Web of Science ®Google Scholar
• S. M. Abo-Dahab and B. Singh , Influences of Magnetic Field on Wave Propagation in Generalized Thermoelastic Solid with Diffusion , Arch. Mech. , vol. 61 , pp. 121 – 136 , 2009 .
   Web of Science ®Google Scholar
• S. M. Abo-Dahab and R. A. Mohamed , Influence of Magnetic Field and Hydrostatic Initial Stress on Reflection Phenomena of P and SV Waves from a Generalized Thermoelastic Solid Half-Space , Journal of Vibration and Control , vol. 16 , pp. 685 – 699 , 2010 .
   Web of Science ®Google Scholar
• S. M. Abo-Dahab , R. A. Mohamed , and B. Singh , Rotation and Magnetic Field Effects on p Wave Reflection from Stress-Free Surface Elastic Half-Space with Voids under One Thermal Relaxation Time , Journal of Vibration and Control , vol. 17 , no. 12 , pp. 1827 – 1839 , 2011 .
   Web of Science ®Google Scholar
• D. S. Chandrasekharaiah , One-Dimensional Wave Propagation in the Linear Theory of Thermoelasticity with Energy Dissipation , Journal of Thermal Stresses , vol. 19 , pp. 695 – 710 , 1996 .
   Web of Science ®Google Scholar
• T. C. Angel and J. D. Achenbach , Reflection and Transmission of Elastic Waves by A periodic Array of Crack , J. App. Mech. , vol. 52 , pp. 33 – 41 , 1983 .
   Web of Science ®Google Scholar
• S. I. Rokhlin and D. Marom , Study of Adhesive Bonds Using Low-Frequency Oblique Incident Ultrasonic Wave , J. Acoust. Soc. Am. , vol. 80 , pp. 585 – 590 , 1984 .
   Web of Science ®Google Scholar
• A. I. Lavrentyev and S. I. Rokhlin , Ultrasonic Spectroscopy of Imperfect Contact Interfaces Between a Layer and Two Solids , J. Acoust. Soc. Amer. , vol. 103 , no. 2 , pp. 657 – 664 , 1988 .
   Web of Science ®Google Scholar
• K. L. Verma , and N. Hasebe , Dispersion of Thermoelastic Waves in a Plate with, and without Energy Dissipation , Int. J. Thermophys. , vol. 22 , no. 3 , pp. 957 – 978 , 2001 .
   Web of Science ®Google Scholar
• M. I. A. Othman , and Y. Song , Reflection of Plane Waves from an Elastic Solid Half-Space under Hydrostatic Initial Stress without Energy Dissipation , Inter. J. Solids Struct. , vol. 44 , pp. 5651 – 5664 , 2007 .
   Web of Science ®Google Scholar
• L. Knopoff , The Interaction between Elastic Wave Motions and a Magnetic Field in Electrical Conductors , J. Geophys. Res. , vol. 60 , pp. 441 – 456 , 1955 .
   Web of Science ®Google Scholar
• P. Chadwick , Elastic Waves Propagation in a Magnetic Field , Proceedings of the International Congress of Applied Mechanics, Brussels, Belgium , pp. 143 – 153 , 1957 .
   Google Scholar
• A. N. Abd-Alla , A. A. Yahia , and S. M. Abo-Dahab , On the Reflection of the Generalized Magneto-Thermo-Viscoelastic Plane Waves , Chaos, Solitons and Fractals , vol. 16 , no. 2 , 211 – 231 , 2003 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla , H. A. Hammad , and S. M. Abo-Dahab , Magneto-Thermo-Viscoelastic Interactions in an Unbounded Body with a Spherical Cavity Subjected to a Periodic Loading , Appl. Math. Comp. , vol. 155 , pp. 235 – 248 , 2004 .
   Web of Science ®Google Scholar
• M. I. A. Othman , and Y. Q. Song , Reflection of Magneto-Thermoelastic Waves with Two Relaxation Times, and Temperature Dependent Elastic Moduli , Appl. Math. Model. , vol. 32 , no. 4 , pp. 483 – 500 , 2008 .
   Web of Science ®Google Scholar
• H. Deresiewicz , Effect of Boundaries on Waves in a Thermoelastic Solid: Reflexion of Plane Waves from a Plane Boundary , J. Mech. Phys. Solids , vol. 8 , pp. 164 – 172 , 1960 .
   Web of Science ®Google Scholar
• H. Deresiewicz , Corrections and Additions: Effect of Boundaries on Waves in a Thermoelastic Solid , J. Mech. Phys. Solids , vol. 10 , pp. 179 – 181 , 1962 .
   Web of Science ®Google Scholar
• A. N. Sinha and S. B. Sinha , Reflection of Thermoelastic Waves at a Solid Half-Space with Thermal Relaxation, J. Phys. Earth , vol. 22, pp. 237–244, 1974.
   Google Scholar
• C. E. Beevers and J. Bree , A Note on Wave Reflection Problems in Linear Thermoelasticity , J. Math. Phys. Sci. , vol. 9 , pp. 355 – 362 , 1975 .
   Google Scholar
• J. N. Sharma , Reflection of Thermoelastic Waves from the Stress-Free Insulated Boundary of an Anisotropic Half-Space , Ind. J. Pure Appl. Math. , vol. 19 , no. 3 , pp. 294 – 304 , 1988 .
   Web of Science ®Google Scholar
• S. B. Sinha and K. A. Elasibai , Reflection and Refraction of Thermoelastic Waves at an Interface of Two Semi-Infinite Media with Two Relaxation Times , Journal of Thermal Stresses , vol. 20 , pp. 129 – 145 , 1995 .
   Web of Science ®Google Scholar
• S. B. Sinha and K. A. Elasibai , Reflection of Thermoelastic Waves at a Solid Half-Space with Two Relaxation Times , Journal of Thermal Stresses , vol. 19 , pp. 749 – 762 , 1996 .
   Web of Science ®Google Scholar
• B. Singh and R. Kumar , Reflection of Plane Waves from the Flat Boundary of a Micropolar Generalized Thermoelastic Half-Space , Int. J. Eng. Sci. , vol. 36 , pp. 865 – 890 , 1998 .
   Web of Science ®Google Scholar
• B. Singh and R. Kumar , Reflection of Plane Waves from the Flat Boundary of a Micropolar Generalized Thermoelastic Half-Space with Stretch , Ind. J. Pure Appl. Math. , vol. 29 , no. 6 , pp. 657 – 669 , 1998 .
   Web of Science ®Google Scholar
• B. Singh , Wave Propagation in an Anisotropic Generalized Thermoelastic Solid , Ind. J. Pure Appl. Math. , vol. 34 , no. 10 , pp. 1479 – 1485 , 2003 .
   Web of Science ®Google Scholar
• B. Singh , Reflection of P and SV Waves from Free Surface of an Elastic Solid with Generalized Thermodiffusion , J. Earth Syst. Sci. , vol. 114 , no. 2 , pp. 1 – 10 , 2005 .
   Web of Science ®Google Scholar
• R. Kumar and P. Sarathi , Reflection and Refraction of Thermoelastic Plane Waves at an Interface between Two Thermoelastic Media without Energy Dissipation , Arch. Mech. vol. 58 , no. 1 , pp. 155 – 185 , 2006 .
   Google Scholar
• R. Kumar and M. Singh , Effect of Rotation and Imperfection on Reflection and Transmission of Plane Waves in Anisotropic Generalized Thermoelastic Media , Journal of Sound and Vibration , vol. 324 , pp. 773 – 797 , 2009 .
   Web of Science ®Google Scholar
• Z.-D. Zhou , F. P. Yang , and Z. B. Kuang , Reflection and Transmission of Plane Waves at the Interface of Pyroelectric Bi-Materials , J. Sound Vibr. , vol. 331 , pp. 3558 – 3566 , 2012 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla , S. R. Mahmoud , and S. M. Abo-Dahab , On Problem of Transient Coupled Thermoelasticity of an Annular Fin , Meccanica , vol. 47 , pp. 1295 – 1306 , 2012 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla and S. R. Mahmoud , On the Problem of Radial Vibrations in Non-Homogeneity Isotropic Cylinder under Influence of Initial Stress and Magnetic Field , J. Vibr. Contr. , vol. 19 , pp. 1283 – 1293 , 2013 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla , S. M. Abo-Dahab , H. A. Hammad , and S. R. Mahmoud , On Generalized Magneto-Thermoelastic Rayleigh Waves in a Granular Medium under Influence of Gravity Field and Initial Stress , Journal of Vibration and Control , vol. 17 , pp. 115 – 128 , 2011 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla and S. R. Mahmoud , Magneto-Thermoelastic Problem in Rotating Non-homogeneous Orthotropic Hollow Cylinder under the Hyperbolic Heat Conduction Model , Meccanica , vol. 45 , pp. 451 – 462 , 2010 .
   Web of Science ®Google Scholar
• A. M. Abd-Alla , S. M. Abo-Dahab , and F. S. Bayones , Propagation of Rayleigh Waves in Magneto-Thermo-Elastic Half-Space of a Homogeneous Orthotropic Material under the Effect of the Rotation, Initial Stress and Gravity Field , Journal of Vibration and Control , vol. 19 , pp. 1395 – 1420 , 2013 .
   Web of Science ®Google Scholar
• S.-M. Xiong , and G.-Z. Ni , 2D Green's Functions for Semi-infinite Transversely Isotropic Electro-Magneto-Thermo-Elastic Composite , Journal of Magnetism and Magnetic Materials , vol. 321 , pp. 1867 – 1874 , 2009 .
   Web of Science ®Google Scholar
• J. N. Sharma and A. Sharma , Reflection of Acoustodiffusive Waves from the Boundary of a Semiconductor Half-Space, J. Appl. Phys. , vol. 108, pp. 033712–033724, 2010.
   Web of Science ®Google Scholar
• J. N. Sharma and A. Sharma , Reflection and Transmission of Acoustic Waves at a Semiconductor: Liquid Interface , AIP, Advances , vol. 1 , pp. 032137 – 032143 , 2011 .
   Web of Science ®Google Scholar
• S. M. Abo-Dahab and M. M. Salama , A Plane Magneto-Thermoelastic Waves Reflection and Refraction between Two Solid Media with External Heat Sources and Initial Stress , Journal of Thermal Stresses , vol. 37 , pp. 1124 – 1157 , 2014 .
   Web of Science ®Google Scholar
• A. N. Abd-alla and N. A. Askar , Calculation of Bulk Acoustic Wave Propagation Velocities in Trigonal Piezoelectric Smart Materials , Appl. Math. Inf. Sci. , vol. 8 , pp. 1625 – 1632 , 2014 .
   Web of Science ®Google Scholar
• S. M. Abo-Dahab , Magnetic Field Effect on Three Plane Waves Propagation at Interface between Solid-Liquid Media Placed under Initial Stress in the Context of GL Model , Appl. Math. Inf. Sci. , vol. 9 , pp. 1 – 10 , 2015 .
   Google Scholar
• R. S. Dhaliwal and A. Singh , Dynamic Coupled Thermoelasticity , p. 726 , Hindustan Publ. Corp , New Delhi , India , 1980 .
   Google Scholar
• A. Nayfeh and S. N. Nasser , Thermoelastic Waves in Solids with Thermal Relaxation , Acta Mech. , vol. 12 , pp. 53 – 69 , 1971 .
   Web of Science ®Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/uths.
   Google Scholar