Generalized thermoelastic problem of a spherically isotropic infinite elastic medium containing a spherical cavity

Journal of Thermal Stresses

Volumn 31, Issue 8, 2008, Pages 665-679

  Ghosh, M K ^a   Kanoria, M ^b  

^a Serampore College   (India)

^b UNIVERSITY OF CALCUTTA   (India)

Author keywords

Bellman method; Generalized thermoelasticity; Spherically isotropic body; Vector matrix differential equation

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; LAPLACE EQUATION; LAPLACE TRANSFORMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA;

BASIC EQUATIONS; EIGEN VALUE APPROACH; ELASTIC MEDIUM; GENERALIZED THERMO-ELASTICITY; ISOTROPIC BODY; LINEAR THEORIES; NUMERICAL INVERSION; SPHERICAL CAVITIES; STRESS FREE; TIME PARAMETERS; TRANSFORM DOMAINS;

THERMOELASTICITY;

EID: 48249086905     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730802193872     Document Type: Article

References (23)

1. M. A. Biot, Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., vol. 27, no. 3, pp. 240-253, 1956.
2. P. Chadwick, in R. Hill and I. N. Sneddon (eds.), Progress in Solid Mechanics, vol. I, North Holland, Amsterdam, p. 265, 1960.
3. H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermoelasticity, Mech. Phys. Solid, vol. 15, pp. 299-309, 1967.
4. A. E. Green and K. A. Lindsay, Thermoelasticity, J. Elasticity, vol. 2, pp. 1-7, 1972.
5. W. Kaminski, Hyperbolic Heat Conduction Equation for Materials with a Non-homogeneous Inner Structure, J. Heat Transfer (ASME), vol. 112, pp. 555-560, 1990.
6. D. Y. Tzou, Experimental Support for the Lagging Behavior in Heat Propagation, J. Thermophys. Heat Transfer, vol. 9, no. 4, pp. 686-693, 1995.
7. K. Mitra, S. Kumar, and A. Vedaverg, Experimental Evidence of Hyperbolic Heat Conduction in Processed Meat, J. Heat Transfer (ASME), vol. 117, pp. 568-573, 1995.
8. D. S. Chandrasekharaiah, Thermoelasticity with Second Sound, A Review, Appl. Mech. Rev., vol. 39, no. 3, pp. 355-375, 1986.
9. L. Y. Bahar and R. B. Hetnarski, Connection Between the Thermoelastic Potential and the State Space Formulation of Thermoelasticity, J. Thermal Stresses, vol. 2, pp. 283-290, 1979.
10. S. Eraby and E. Suhubi, Longitudinal Wave Propagation in a Generalized Thermo-Elastic Cylinder, J. Thermal Stresses, vol. 9, pp. 279-295, 1986.
11. M. Ezzat, Fundamental Solution in Thermoelasticity With Two Relaxation Times for Cylindrical Regions, Int. J. Eng. Sci., vol. 33, pp. 2011-2020, 1995.
12. 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.
13. A. Bagri and M. R. Eslami, Generalized Coupled Thermoelasticity of Disks Based on the Lord-Shulman Model, J. Thermal Stresses, vol. 27, pp. 691-704, 2004.
14. H. M. Youssef, Generalized Thermoelasticity of an Infinite Body With a Cylindrical Cavity and Variable Material Properties, J. Thermal Stresses, vol. 28, pp. 521-532, 2005.
15. A. Kar and M. Kanoria, Thermo-Elastic Interaction with Energy Dissipation in an Unbounded Body with a Spherical Hole, International Journal of Solids and Structures, vol. 44, pp. 2961-2971, 2007.
16. S. K. Roychoudhuri, One Dimensional Thermoelastic Waves in Elastic Half-Space with Dual Phase-Lag Effects, J. Mech. Mat. and Struc., vol. 2, no. 3, pp. 489-503, 2007.
17. N. C. Das, A. Lahiri, and P. K. Sen, Eigenvalue Approach to Three Dimensional Generalized Thermoelasticity, Bull. Calcutta Math. Soc., vol. 98, no. 4, pp. 305-318, 2006.
18. M. Kanoria and A. Kar, Thermoelastic Interaction with Energy Dissipation in a Transversely Isotropic Thin Circular Disc, Proceedings of The Seventh International Congress on Thermal Stresses, Taipei, pp. 557-560, 2007.
19. H. M. Wang, H. J. Ding, and Y. M. Chen, Thermoelastic Dynamic Solution of a Multilayered Spherically Isotropic Hollow Sphere for Spherically Symmetric Problems, Acta Mechanica, vol. 173, pp. 131-145, 2004.
20. N. C. Das and A. Lahiri, Thermoelastic Interactions Due to Precribed Pressure Inside a Spherical Cavity in an Unbounded Medium, Ind. J. Pure Appl. Math., vol. 31, no. 1, pp. 19-32, 2000.
21. W. Nowacki, Dynamic Problems of Thermoelasticity, Polish Scientific Publishers, Warszawa, 1975.
22. R. Bellman, R. E. Kolaba, and J. A. Lockette, Numerical Inversion of the Laplace Transform, American Elsevier Pub. Co., New York, 1966.
23. J. N. Sharma and R. S. Chouhan, On the Problem of Body Forces and Heat Sources in Thermoelasticity Without Energy Dissipation, Ind. J. Pure Appl. Math., vol. 30, pp. 595-610, 1999.