TRANSIENT THERMOVISCOELASTIC WAVES IN A HALF-SPACE DUE TO THERMAL LOADS

References

• J. Duhamel , Second Memoire Sur les Phenomenes Thermo-Mechanique , J. L ‘Ecole Polytech. , vol. 15 , 1837 .
   Google Scholar
• F. Neumann , Vorlesungen Uber die Theorie der Elasticitat , Meyer, Breslau , 1885 .
   Google Scholar
• M. Biot , Thermoelasticity and Irreversible Thermo-dynamics , J. Appl. Phys. , vol. 27 , pp. 240 – 253 , 1956 .
   Web of Science ®Google Scholar
• H. W. Lord and Y. Shulman , The Generalized Dynamical Theory of Thermoelasticity , J. Mech. Phys. Solid , vol. 15 , pp. 299 – 309 , 1967 .
   Web of Science ®Google Scholar
• A. E. Green and K. A. Lindsay , Thermoelasticity , J. Elasticity , vol. 2 , pp. 1 – 7 , 1972 .
   Google Scholar
• D. S. Chandrasekharaiah , Thermoelasticity with Second Sound—A Review , Appl. Mech. Rev. , vol. 39 , pp. 355 – 376 , 1986 .
   Google Scholar
• C. C. Ackerman , B. Bentman , H. A. Fairbank , and R. A. Krumhansal , Second Sound in Helium , Phys. Rev. Lett. , vol. 16 , pp. 789 – 791 , 1966 .
   Web of Science ®Google Scholar
• R. A. Guyer and J. A. Kurmhansal , Thermal Conductivity, Second Sound and Phonon Hydrodynamic Phenonomena in Nonmetallic Crystals, Phys. Rev. , vol. 148, pp. 778–781, 1966.
   Web of Science ®Google Scholar
• C. C. Ackerman and W. C. Overtone , Jr. , Second Sound in Solid Helium-3 , Phys. Rev. Lett. , vol. 22 , pp. 764 – 766 , 1969 .
   Web of Science ®Google Scholar
• A. E. Green and P. M. Nagdhi , A Re-examination of the Basic Postulates of Thermodynamics , Proc. Roy. Soc. A , vol. 432 , pp. 171 – 194 , 1991 .
   Google Scholar
• A. E. Green and P. M. Nagadhi , Thermoelasticity without Energy Dissipation , J. Elasticity , vol. 31 , pp. 189 – 208 , 1993 .
   Web of Science ®Google Scholar
• A. E. Green and P. M. Nagadhi , On Undamped Heat Waves in an Elastic Solid , J. Thermal Stresses , vol. 15 , pp. 252 – 264 , 1992 .
   Web of Science ®Google Scholar
• K. S. Harinath , Surface Point Source in Generalized Thermoelastic Half-Space , Ind. J. Pure Appl. Math. , vol. 8 , pp. 1347 – 1351 , 1975 .
   Google Scholar
• A. Nayfeh and S. N. Nasser , Transient Thermoelastic Waves in a Half Space with Thermal Relaxations , J. Appl. Math. Phys. , vol. 23 , pp. 50 – 67 , 1972 .
   Google Scholar
• A. T. De-Hoop , A Modification of Cagniard Method for Solving Seismic Pulse Problems , Appl. Sci. Res. , vol. 38 , pp. 349 – 356 , 1959 .
   Google Scholar
• J. N. Sharma , Transient Generalized Thermoelastic Waves in a Transversely Isotropic Halfspace , B. Acad. Pol. Sci. Tech. , vol. 34 , pp. 632 – 646 , 1986 .
   Google Scholar
• L. Cagniard , Reflection and Refraction of Progress Seismic Waves , McGraw-Hill , New York , 1962 .
   Google Scholar
• J. N. Sharma , R. S. Chauhan , and R. Kumar , Time Harmonic Sources in a Generalized Thermoelastic Continuum , J. Thermal Stresses , vol. 23 , pp. 657 – 674 , 2000 .
   Web of Science ®Google Scholar
• J. N. Sharma and R. S. Chauhan , Mechanical Loads and Heat Sources in a Generalized Thermoelastic Half Space , J. Thermal Stresses , vol. 24 , pp. 651 – 675 , 2001 .
   Google Scholar
• J. N. Sharma and P. K. Sharma , On the Transient Thermoelastic Waves , Int. J. Mech. Eng. , vol. 6 , pp. 923 – 946 , 2001 .
   Google Scholar
• M. Ewing , W. S. Jardetzky , and F. Press , Elastic Waves in Layered Media , pp. 272 – 280 , McGraw-Hill , New York , 1957 .
   Google Scholar
• C. Hunter , in I. Sneddon and R. Hill (eds.) , Visco-elastic Waves: Progress in Solid Mechanics , North Interscience , Amsterdam , New York , 1960 .
   Google Scholar
• W. Flugge , Viscoelasticity , Blasdell , London , 1967 .
   Google Scholar
• D. P. Acharya and A. Mondal , Propagation of Rayleigh Surface Waves with Small Wavelengths in Non-local Viscoelastic Solids , Sadhana , vol. 27 , pp. 605 – 612 , 2002 .
   Web of Science ®Google Scholar
• W. Voigt , Theortische Student Uberdie Elasticitats Verhalinisse Krystalle , Abs. Ges. Wiss. Goettingen , vol. 34 , 1887 .
   Google Scholar
• A. M. Freudenthal , Effect of Rheological Behaviour on Thermal Stresses , J. Appl. Phys. , vol. 25 , pp. 1 – 10 , 1954 .
   Web of Science ®Google Scholar
• S. Mukhopadhyay , Effects of Thermal Relaxations on Thermoviscoelasticity Interactions in an Unbounded Body with a Spherical Cavity Subjected to a Periodic Loading on the Boundary , J. Thermal Stresses , vol. 23 , pp. 675 – 684 , 2000 .
   Web of Science ®Google Scholar
• A. E. Green , A Note on Linear Thermoelasticity , Mathematica , vol. 19 , pp. 69 – 75 , 1972 .
   Google Scholar
• D. V. Strunin , On Characteristics Times in Generalized Thermoelasticity , J. Appl. Math. , vol. 68 , pp. 816 – 817 , 2001 .
   Google Scholar
• W. H. Press , S. K. Teukolky , W. T. Velleraing , and B. P. Flannery , Numerical Recipes in FORTRAN , 2nd ed. , Cambridge University Press , 1992 .
   Google Scholar