Effects of Rotation on Harmonic Plane Waves Under Two-Temperature Thermoelasticity

REFERENCES

• P. J. Chen and M. E. Gurtin , On a Theory of Heat Conduction Involving Two-temperatures , J. Appl. Math. Phys., (ZAMP) , vol. 19 , pp. 614 – 627 , 1968 .
   Web of Science ®Google Scholar
• P. J. Chen , M. E. Gurtin , and W. O. Williams , A Note on Non-simple Heat Conduction , J. Appl. Math. Phys., (ZAMP) , vol. 19 , pp. 969 – 970 , 1968 .
   Web of Science ®Google Scholar
• P. J. Chen , M. E. Gurtin , and W. O. Williams , On the Thermodynamics of Non-simple Elastic Materials with Two-temperatures , J. Appl. Math. Phys., (ZAMP) , vol. 20 , pp. 107 – 112 , 1969 .
   Web of Science ®Google Scholar
• D. Iesan , On the Thermodynamics of Non-simple Elastic Materials with Two-temperatures, J. Appl. Math. Phys., (ZAMP) , vol. 21, pp. 583–591, 1970.
   Web of Science ®Google Scholar
• W. E. Warren and P. J. Chen , Wave Propagation in the Two-Temperature Theory of Thermoelasticity , Acta Mech. , vol. 16 , pp. 21 – 33 , 1973 .
   Web of Science ®Google Scholar
• W. E. Warren , Thermoelastic Wave Propagation from Cylindrical and Spherical Cavities in the Two-temperature Theory , J. Appl. Phys. , vol. 43 , pp. 3595 – 3597 , 1972 .
   Web of Science ®Google Scholar
• D. E. Amos , On a Half-space Solution of a Modified Heat Equation , Quart. Appl. Math. , vol. 27 , pp. 359 – 369 , 1969 .
   Web of Science ®Google Scholar
• S. Chakrabarti , Thermoelastic Waves in Non-simple Media , Pure Appl. Geophys. , vol. 109 , pp. 1682 – 1692 , 1973 .
   Web of Science ®Google Scholar
• T. W. Ting , A Cooling Process According to Two-temperature Theory of Heat Conduction , J. Math. Anal. Appl. , vol. 45 , pp. 23 – 31 , 1974 .
   Web of Science ®Google Scholar
• D. Colton and J. Wimp , Asymptotic Behavior of the Fundamental Solution to the Equation of Heat Conduction in Two-Temperature , J. Math. Anal. Appl. , vol. 69 , pp. 411 – 418 , 1979 .
   Web of Science ®Google Scholar
• R. Quintanilla , On Existence, Structural Stability, Convergence and Spatial Behavior in Thermoelasticity with Two-Temperatures , Acta Mech. , vol. 168 , pp. 61 – 73 , 2004 .
   Web of Science ®Google Scholar
• P. Puri and P. M. Jordan , On the Propagation of Harmonic Plane Waves under the Two-Temperature Theory , Int. J. Engg. Sci. , vol. 44 , pp. 1113 – 1126 , 2006 .
   Web of Science ®Google Scholar
• H. M. Youssef and E. A. Al-Lehaibi , State-Space Approach of Two-Temperature Generalized Thermoelasticity of one Dimensional Problem , Int. J. Solids Struct. , vol. 44 , pp. 1550 – 1562 , 2007 .
   Web of Science ®Google Scholar
• H. M. Youssef , Problem of Generalized Thermoelastic Infinite Cylindrical Cavity Subjected to a Ramp-type Heating and Loading , Arch. Appl. Mech. , vol. 75 , pp. 553 – 565 , 2006 .
   Web of Science ®Google Scholar
• H. M. Youssef , Theory of Two-Temperature-Generalized Thermoelasticity , IMA J. Appl. Math. , vol. 71 , pp. 383 – 390 , 2006 .
   Web of Science ®Google Scholar
• H. M. Youssef , Two-temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected to Moving Heat Source , Arch. Appl. Mech. , vol. 80 , pp. 1213 – 1224 , 2010 .
   Web of Science ®Google Scholar
• R. Kumar , R. Prasad , and S. Mukhopadhyay , Variational and Reciprocal Principles in Two-Temperature Generalized Thermoelasticity , J. Therm. Stresses , vol. 33 , pp. 161 – 171 , 2010 .
   Web of Science ®Google Scholar
• S. Mukhopadhyay and R. Kumar , Thermoelastic Interaction on Two-Temperature Generalized Thermoelasticity in an Infinite Medium with a Cylindrical Cavity , J. Therm. Stresses , vol. 32 , pp. 341 – 360 , 2009 .
   Web of Science ®Google Scholar
• R. Kumar , R. Prasad , and S. Mukhopadhyay , Some Theorems on Two-Temperature Generalized Thermoelasticity , Arch. Appl. Mech. , vol. 81 , pp. 1031 – 1040 , 2011 .
   Web of Science ®Google Scholar
• P. Chadwick and I. N. Sneddon , Plane Waves in an Elastic Solid Conducting Heat , J. Mech. Phys. Solids , vol. 6 , pp. 223 – 230 , 1958 .
   Web of Science ®Google Scholar
• P. Chadwick , Thermoelasticity: the Dynamic Theory . in: R. Hill , I. N. Sneddon (Eds.), Progress in Solid Mechanics , North-Holland , Amsterdam , vol. 1 , pp. 263 – 328 , 1960 .
   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. Nayfeh and S. Nemat-Nasser , Thermoelastic Waves in Solids with Thermal Relaxation , Acta Mech. , vol. 12 , pp. 53 – 69 , 1971 .
   Web of Science ®Google Scholar
• P. Puri , Plane Waves in Generalized Thermoelasticity , Int. J. Engg. Sci. , vol. 11 , pp. 735 – 744 , 1973 .
   Web of Science ®Google Scholar
• A. E. Green and K. A. Lindsay , Thermoelasticity , J. Elasticity , vol. 2 , pp. 1 – 7 , 1972 .
   Google Scholar
• V. K. Agarwal , On Plane Waves in Generalized Thermoelasticity , Acta Mech. , vol. 31 , pp. 185 – 198 , 1979 .
   Web of Science ®Google Scholar
• A. E. Green and P. M. Naghdi , Thermoelasticity without Energy Dissipation, J. Elasticity , vol. 31, pp. 189–208, 1993.
   Web of Science ®Google Scholar
• D. S. Chandrasekharaiah , Thermoelastic Plane Waves without Energy Dissipation , Mech. Res. Comm. , vol. 23 , pp. 549 – 555 , 1996 .
   Web of Science ®Google Scholar
• P. Puri and P. M. Jordan , On the Propagation of Plane Waves in Type-III Thermoelastic Media , Proc. Royal Soc., A , vol. 460 , pp. 3203 – 3221 , 2004 .
   Google Scholar
• A. E. Green and P. M. Naghdi , On Undamped Heat Waves in an Elastic Solid , J. Therm. Stresses , vol. 15 , pp. 253 – 264 , 1992 .
   Web of Science ®Google Scholar
• M. Schoenberg and D. Censor , Elastic Waves in Rotating Media , Quart. Appl. Math. , vol. 31 , pp. 115 – 125 , 1973 .
   Web of Science ®Google Scholar
• P. Puri , Plane Thermoelastic Waves in Rotating Media , Bull. Acad. Polon. Sci. Ser. Sci. Tech. , vol. 24 , pp. 137 – 144 , 1976 .
   Google Scholar
• D. S. Chandrasekharaiah and K. R. Srikantiah , Thermoelastic Plane Waves in a Rotating Solid , Acta Mech. , vol. 50 , pp. 211 – 219 , 1984 .
   Web of Science ®Google Scholar
• S. K. Roychoudhari , Effect of Rotation and Relaxation Times on Plane Waves in Generalized Thermoelasticity , J. Elasticity , vol. 21 , pp. 59 – 68 , 1985 .
   Google Scholar
• S. K. Roychoudhari , and S. Mukhopadhyay , Effect of Rotation, and Relaxation Times on Plane Waves in Generalized Thermo-Visco-Elasticity , Int. J. Math. Math. Sci. , vol. 23 , 497 – 505 , 2000 .
   Google Scholar
• S. K. Roychoudhari and N. Bandyopadhyay , Thermoelastic Wave Propagation in Rotating Elastic Medium without Energy Dissipation , Int. J. Math. Math. Sci. , vol. 1 , pp. 99 – 107 , 2005 .
   Google Scholar
• D. S. Chandrasekharaiah , Thermoelastic Plane Waves without Energy Dissipation in a~Rotating Body , Mech. Res. Comm. , vol. 24 , pp. 551 – 560 , 1997 .
   Web of Science ®Google Scholar
• D. S. Chandrasekharaiah , Plane Waves in a Rotating Elastic Solid with Voids , Int. J. Engg. Sci. , vol. 25 , pp. 591 – 596 , 1987 .
   Web of Science ®Google Scholar
• Mohamed I. A. Othman , Effect of Rotation on Plane Waves in Generalized Thermo-Elasticity with Two Relaxation Times , Int. J. Solids Struct. , vol. 41 , pp. 2939 – 2956 , 2004 .
   Web of Science ®Google Scholar
• J. L. Auriault , Body Wave Propagation in Rotating Elastic Media , Mech. Res. Comm. , vol. 31 , pp. 21 – 27 , 2004 .
   Web of Science ®Google Scholar
• J. N. Sharma and Mohamed I. A. Othman , Effect of Rotation on Generalized Thermo- Viscoelastic Rayleigh-Lamb Waves , Int. J. Solids and Struct. , vol. 44 , pp. 4243 – 4255 , 2007 .
   Web of Science ®Google Scholar
• S. Punnusamy , Foundation of Complex Analysis , Narosa Publishing House , 2001 .
   Google Scholar
• S. Mukhopadhyay , R. Kumar , and R. Prasad , Comments on the Article “On the Propagation of Harmonic Plane Waves under the Two-Temperature Theory (P. Puri, and P. M. Jordan , Int. J. Engg. Sci. , vol. 44 pp. 1113 – 1126 , 2006 .)”, Int. Engg. Sci., vol. 51 pp. 344–347, 2012 .
   Web of Science ®Google Scholar