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Original Articles

Analysis of Magneto-Thermoelastic Response in a Transversely Isotropic Hollow Cylinder Under Thermal Shock with Three-Phase-Lag Effect

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Pages 239-258 | Received 25 Apr 2012, Accepted 07 Oct 2012, Published online: 26 Feb 2013

REFERENCES

  • H. W. Lord and Y. Shulman , A Generalized Dynamical Theory of Thermo-elasticity , J. Mech. Phys. Solids. , vol. 15 , pp. 299 – 309 , 1967 .
  • A. E. Green and K. A. Lindsay , Thermo-elasticity , J. Elast. , vol. 2 , pp. 1 – 7 , 1972 .
  • G. Paria , On Magneto-thermo-elastic Plane Waves , Proc. Camb. Phil. Soc. , vol. 58 , pp. 527 – 531 , 1962 .
  • A. Nayfeh and S. Nemat-Nasser , Thermo-elastic Waves in a Solids with Thermal Relaxation , Acta. Mech. , vol. 12 , pp. 43 – 69 , 1971 .
  • A. Nayfeh and S. Nemat-Nasser , Electro-magneto-thermo-elastic Plane Waves in Solid with Thermal Relaxation , J. Appl. Mech. , vol. 39 , pp. 108 – 113 , 1972 .
  • S. K. Roychoudhuri and G. Chatterjee (Roy) , A Coupled Magneto-thermo-elastic problem in a Perfectly Conducting Elastic Half-space with Thermal Relaxation , Int. J. Math Mech. Sci. , vol. 13 , no. 3 , pp. 567 – 578 , 1990 .
  • R. K. T. Hsieh , Mechanical Modelling of New Electromagnetic Materials , Proc. IUTAM Symposium , Stockholm , Sweden , 2–6 April , 1990 .
  • M. A. Ezzat , State Space Approach to Generalized Magneto-thermoelasticity with Two Relaxation Times in a Medium of Perfect Conductivity , J. Eng. Sci. , vol. 35 , no. 8 , pp. 741 – 752 , 1997 .
  • M. A. Ezzat , M. I. Othman , and A. S. El -Karamany , Electro-magneto-thermo-elastic Plane Waves with Thermal Relaxation in a Medium of Perfect Conductivity , J. Therm. Stresses , vol. 24 , pp. 411 – 432 , 2001 .
  • H. H. Sherief and H. M. Yosef , Short Time Solution for a Problem in Magneto-thermoelasticity with Thermal Relaxation , J. Therm. Stresses , vol. 27 , pp. 537 – 559 , 2004 .
  • A. Baksi and R. K. Bera , Eigenfunction Method for the Solution of Magneto-thermoelastic Problems with Thermal Relaxation and Heat Source in Three Dimension , Sci. Direct, Math. Comp. modelling , vol. 42 , pp. 533 – 552 , 2005 .
  • A. Ezzat and A. S. EI-Karamany , Fractional Order Heat Conduction Law in Magneto-thermoelasticity Involving Two Temperatures, ZAMP., DOI: 10.1007/s00033-011-0126-3, 2011.
  • R. B. Hetnarski and J. Ignaczak , Generalized Thermoelasticity: Closed Form Solutions , J. Thermal Stresses , vol. 16 , pp. 473 – 498 , 1993 .
  • R. B. Hetnarski and J. Ignaczak , Generalized Thermoelasticity: Response of Semi-space to a Short Laser Pulse , J. Thermal Stresses , vol. 17 , pp. 377 – 396 , 1994 .
  • A. E. Green and P. M. Naghdi , A Re-examination of The Basic Postulate of Thermo-mechanics, Proc. R. Soc. Lond. Ser. , vol. 432, pp. 171–194, 1991.
  • A. E. Green and P. M. Naghdi , On Undamped Heat Waves in an Elastic Solid , J. Therm. Stresses , vol. 15 , pp. 252 – 264 , 1992 .
  • A. E. Green and P. M. Naghdi , Thermoelasticity without Energy Dissipation , J. Elasticity. , vol. 31 , pp. 189 – 208 , 1993 .
  • S. K. Roychoudhuri , Magneto-thermo-elastic Waves in an Infinite Perfectly Conducting Solid without Energy Dissipation, J. Tech. Phys. vol. 47, pp. 63–72, 2006.
  • R. B. Hetnarski and M. R. Eslami , Thermal Stresses: Advanced Theory and Applications , Springer , New York , 2009 .
  • J. Ignaczak and M. Ostoja-Starzewski , Thermo-elasticity with Finite Wave Speeds , Oxford University Press , New York , 2010 .
  • D. S. Chandrasekhariah , A Note on the Uniqueness of Solution in the Linear Theory of Thermoelasticity without Energy Dissipation , J. Elasticity , vol. 43 , pp. 279 – 283 , 1996 .
  • S. Banik , S. H. Mallik , and M. Kanoria , Thermoelastic Interaction with Energy Dissipation in an Infinite Solid with Distributed Periodically Varying Heat Sources , J. Pure Appl. Math. , vol. 34 , pp. 231 – 246 , 2007 .
  • S. H. Mallik and M. Kanoria , Generalized Thermoelastic Functionally Graded Infinite Solids with a Periodically Varying Heat Source , Int. J. Solids Struct. , vol. 44 , pp. 7633 – 7645 , 2007 .
  • M. Ghosh and M. Kanoria , Study of Dynamic Response in a Functionally Graded Spherically Isotropic Hollow Sphere with Temperature Dependent Elastic Parameters , J. Thermal Stresses , vol. 33 , pp. 459 – 484 , 2010 .
  • P. Das and M. Kanoria , Magneto-thermo-elastic Response in a Functionally Graded Isotropic Medium under a Periodically Varying Heat Source , Int. J. Thermophysics , vol. 30 , pp. 2098 – 2121 , 2009 .
  • A. Kar and M. Kanoria , Themoelastic Interaction with Energy Dissipation in an Unbounded Body with Spherical Hole , Int. J. Solids Struct. , vol. 44 , pp. 2961 – 2971 , 2007 .
  • P. Das and M. Kanoria , Magneto-thermo-elastic Waves in an Infinite Perfectly Conducting Elastic Solid with Energy Dissipation , Appl. Math. Mech. , vol. 30 , pp. 221 – 228 , 2009 .
  • M. Islam and M. Kanoria , Study of Dynamical Response in a Two-dimensional Transversely Isotropic Thick Plate Due to Heat Source , J. Therm. Stresses , vol. 34 , pp. 702 – 723 , 2011 .
  • M. Islam , S. H. Mallik , and M. Kanoria , Study of Dynamical Response in a Two-dimensional Transversely Isotropic Thick Plate with Spatially Varying Heat Sources and Body Forces , Appl. Math. Mech. , vol. 32 , no. 10 , pp. 1315 – 1332 , 2011 .
  • A. Kar and M. Kanoria , Generalized Thermoelastic Problem of a Spherical Shell under Thermal Shock , Eur. J. Pure Appl. Math. , vol. 2 , pp. 125 – 146 , 2009 .
  • D. Y. Tzou , A Unified Field Approach for Heat Conduction from Macro to Micro Scales , ASME J. Heat Transfer , vol. 117 , pp. 8 – 16 , 1995 .
  • D. S. Chandrasekharaiah , Hyperbolic Thermoelasticity: A Review of Recent Literature, Appl. Mech. Rev. vol. 51, pp. 8–16, 1998.
  • S. K. Roychoudhuri , One-dimensional Thermoelastic Waves in Elastic Half-space with Dual-Phase-Lag Effects , J. Mech. Materials Structures , vol. 2 , pp. 489 – 503 , 2007 .
  • R. Kumar and S. Mukhopadhyay , Effect of Three-Phase-Lags on Generalized Thermoelasticity for an Infinite Medium with a Cylindrical Cavity , J. Thermal Stresses , vol. 32 , pp. 1149 – 1165 , 2009 .
  • S. K. Roychoudhuri , On a Thermoelastic Three-Phase-Lag Model , J. Thermal Stresses , vol. 30 , pp. 231 – 238 , 2007 .
  • R. Quintanilla and R. Racke , A Note on Stability in Three-Phase-Lag Heat Conduction, Int. J. Heat Mass Transfer , vol. 51, pp. 24–29, 2008.
  • S. H. Mallik and M. Kanoria , Generalized Thermoviscoelastic Interaction Due to Periodically Varying Heat Source with Three-Phase-Lag Effect , Eur. J. Mech. A Solids , vol. 29 , pp. 695 – 703 , 2010 .
  • A. Kar and M. Kanoria , Analysis of Thermoelastic Response in a Fibre Reinforced Thin Annular Disc with Three-Phase-Lag Effect , Eur. J. Pure and Appl. Math. , vol. 32 , pp. 1315 – 1332 , 2011 .
  • S. Banik , and M. Kanoria , Generalized Thermoelastic Interaction in a Functionally Graded Isotropic Unbounded Medium Due to Varying Heat Sources with Three-Phase-Lag Effect , Math. Mech. solids , DOI: 10,1177/1081286511436191 , pp. 1–15 , 2012 .
  • S. Banik and M. Kanoria , Effect of Three-Phase-Lag on Two-Temperature Generalized Thermoelasticity for Infinite Medium with Spherical Cavity , Appl. Math. Mech. , vol. 33 , no. 4 , pp. 483 – 498 , 2012 .
  • P. Das and M. Kanoria , Magneto-thermo-elastic Response in a Perfectly Conducting Medium with Three-Phase-Lag Effect , Acta. Mech. , vol. 223 , no. 4 , pp. 811 – 828 , 2012 .
  • A. Kar and M. Kanoria , Generalized Thermoelastic Functionally Graded Orthotropic Hollow Sphere under Thermal Shock with Three-Phase-Lag Effect , Eur. J. Mech. A Solids , vol. 1 , pp. 1 – 11 , 2009 .
  • S. G. Lekhnitskii , Theory of Elasticity of an Anisotropic Body , Mir Publication , Moskow , 1980 .
  • R. S. Dhaliwal and A. Singh , Dynamic Coupled Thermoelasticity , Hindustan Publishing Corporation , New Delhi , India , 1980 .
  • R. Bellman , R. E. Kolaba , and J. A. Lockette , Numerical Inversion of the Laplace Transform , American Elsevier , New York , 1966 .

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