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Original Articles

Thermoelastic Interactions on Two-Temperature Generalized Thermoelasticity in an Infinite Medium with a Cylindrical Cavity

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Pages 341-360 | Received 04 Jul 2008, Accepted 25 Sep 2008, Published online: 18 Mar 2009

REFERENCES

  • M. A. Biot , Thermoelasticity and Irreversible Thermodynamics , J. Appl. Phys. , vol. 27 , pp. 240 – 253 , 1956 .
  • H. W. Lord and Y. Shulman , A Generalized Dynamical Theory of Thermoelasticity , J. Mech. Phys. Solids , vol. 15 , pp. 299 – 309 , 1967 .
  • I. Muller , On the Entropy Inequalities , Arch. Rat. Mech. Anal. , vol. 26 , pp. 118 – 141 , 1967 .
  • A. E. Green and N. Laws , On the Entropy Production Inequality , Arch. Rat. Mech. Anal. , vol. 45 , pp. 47 – 53 , 1972 .
  • A. E. Green and K. A. Lindsay , Thermoelasticity, J. Elast. , vol. 2, pp. 1–7, 1972.
  • S. Erbay and E. S. Suhubi , Longitudinal Wave Propagation in a Generalized Thermoelastic Cylinder , J. Therm. Stresses , vol. 9 , p. 279 , 1986 .
  • T. Furukawa , N. Noda , and F. Ashida , Generalized Thermoelasticity for an Infinite Body with Cylindrical Hole , JSME Int. J. , vol. 31 , p. 26 , 1990 .
  • D. S. Chandrasekharaiah and H. R. Keshavan , Axisymmetric Thermoelastic Interactions in an Unbounded Body with Cylindrical Cavity , Acta Mech. , vol. 92 , pp. 61 – 76 , 1992 .
  • H. H. Sherief and F. A. Hamza , Generalized Thermoelastic Problem of a Thick Plate under Axisymmetric Temperature Distribution , J. Thermal Stresses , vol. 17 , pp. 435 – 452 , 1994 .
  • S. K. Roychoudhuri and S. Banerjee , Magneto Thermoelastic Waves Induced by a Thermal Shock in a Finitely Conducting Elastic Half-Space , Int. J. Math. Math. Sci. , vol. 19 , pp. 131 – 143 , 1996 .
  • M. A. Ezzat , Fundamental Solution in Thermoelasticity with two Relaxation Times for Cylindrical Regions , Int. J. Eng. Sci. , vol. 33 , pp. 2011 – 2020 , 1995 .
  • 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 .
  • A. Bahtui and M. R. Eslami , Generalized Coupled Thermoelasticity of Functionally Graded Cylindrical Shell , Int. J. Numer. Meth. Eng. , vol. 69 , pp. 676 – 697 , 2007 .
  • P. J. Chen and M. E. Gurtin , On a Theory of Heat Conduction Involving Two-temperatures , Zamp , vol. 19 , pp. 614 – 627 , 1968 .
  • P. J. Chen , M. E. Gurtin , and W. O. Williams , On the Thermodynamics of Non-Simple Elastic Materials with Two Temperatures , Zamp , vol. 20 , pp. 107 – 112 , 1969 .
  • P. J. Chen , M. E. Gurtin , and W. O. Williams , A Note on Non-Simple Heat Conduction , Zamp , vol. 19 , pp. 969 – 970 , 1968 .
  • B. A. Boley and I. S. Tolins , Transient Coupled Thermoelastic Boundary Value Problems in the Half Space , J. Appl. Mech. , vol. 29 , pp. 637 – 646 , 1962 .
  • W. E. Warren and P. J. Chen , Wave Propagation in the Two Temperature Theory of Elasticity , Acta. Mech. , vol. 16 , pp. 21 – 33 , 1973 .
  • H. M. Youssef , Theory of Two-Temperature-Generalized Thermoelasticity , IMA J. Appl. Math. , vol. 71 , pp. 383 – 390 , 2006 .
  • H. M. Youssef and E. A. Al-Lehaibi , State-Space Approach of Two-Temperature Generalized Thermoelasticity of one Dimensional Problem , Inter. J. Solid Struct. , vol. 44 , pp. 1550 – 1562 , 2007 .
  • H. M. Youssef and A. H. Al Harby , State-Space Approach of Two-Temperature Generalized Thermoelasticity of Infinite Body with a Spherical Cavity Subjected to Different Type of Thermal Loading , Arch. Appl. Mech. , vol. 77 , pp. 675 – 687 , 2007 .
  • R. Bellmen , R. E. Kolaba , and J. A. Lockette , Numerical Inversion of the Laplace Transform , American Elsevier Pub. Co. , New York , 1966 .

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