Analysis of thermoelastic response in a functionally graded spherically isotropic hollow sphere based on Green-Lindsay theory

Acta Mechanica

Volumn 207, Issue 1-2, 2009, Pages 51-67

  Ghosh, M K ^a   Kanoria, M ^b  

^a Serampore College   (India)

^b UNIVERSITY OF CALCUTTA   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BASIC EQUATIONS; COMPARATIVE STUDIES; CONSTANT TEMPERATURE; DISPLACEMENTS AND STRESS; EIGEN-VALUE APPROACH; FUNCTIONALLY GRADED; GENERALIZED THERMO-ELASTICITY; GREEN-LINDSAY THEORIES; HOMOGENEOUS MATERIALS; INNER SURFACES; ISOTROPIC HOLLOW SPHERES; ISOTROPIC INFINITE MEDIUM; LINEAR THEORY; NUMERICAL INVERSION; RADIAL STRESS; SPHERICAL CAVITIES; THERMO-PHYSICAL PROPERTY; THERMOELASTIC DISPLACEMENTS; THERMOELASTIC RESPONSE; TIME-DEPENDENT; VECTOR-MATRIX DIFFERENTIAL EQUATION;

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; LAPLACE EQUATION; LAPLACE TRANSFORMS; MATHEMATICAL TRANSFORMATIONS; SPHERES; THERMODYNAMIC PROPERTIES;

THERMOELASTICITY;

EID: 68849125059     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-008-0093-8     Document Type: Article

References (33)

1. M.A. Biot 1956 Thermoelasticity and irreversible thermodynamics J. Appl. Phys. 27 240 253
2. Chadwick P.: Thermoelasticity: the dynamic theory. In: Sneddon, I.N., Hill, R. (eds) Progress in Solid Mechanics, vol.1, pp. 265. North-Holland, Amsterdam (1960)
3. H. Lord Y. Shulman 1967 A generalized dynamical theory of thermoelasticity Mech. Phys. Solid 15 299 309
4. A.E. Green K.A. Lindsay 1972 Thermoelasticity J. Elast. 2 1 7
5. A.E. Green P.M. Naghdi 1991 A re-examination of the basic postulates of thermomechanics Proc. R. Soc. Lond. A 432 171 194
6. A.E. Green P.M. Naghdi 1993 Thermoelasticity without energy dissipation J. Elast. 31 189 208
7. A.E. Green P.M. Naghdi 1992 On undamped heat waves in an elastic solid J. Therm. Stress. 15 252 264
8. D.Y. Tzou 1995 Experimental support for the lagging behavior in heat propagation J.Thermophys. Heat Transf. 9 686 693
9. K. Mitra S. Kumar A. Vedaverg 1995 Experimental evidence of hyperbolic heat conduction in processed meat J. Heat Transf. (ASME) 117 568 573
10. D.S. Chandrasekharaiah 1986 Thermoelasticity with second sound: a review Appl. Mech. Rev. 39 355 375
11. L. Bahar R.B. Hetnarski 1978 State space approach to thermoelasticity J. Therm. Stress. 1 135 145
12. M. Ezzat 1995 Fundamental solution in thermoelasticity with two relaxation times for cylindrical regions Int. J. Eng. Sci. 33 2011 2020
13. R.B. Hetnarski J. Ignaczak 1994 Generalized thermoelasticity response of semi-space to a short laser pulse J. Therm. Stress. 17 377 396
14. A. Bagri M.R. Eslami 2004 Generalized coupled thermoelasticity of disks based on the Lord-Shulman model J. Therm. Stress. 27 691 704
15. A. Kar M. Kanoria 2007 Thermo-elastic interaction with energy dissipation in an unbounded body with a spherical hole Int. J. Solids Struct. 44 2961 2971
16. A. Kar M. Kanoria 2007 Thermoelastic interaction with energy dissipation in a transversely isotropic thin circular disc Eur. J. Mech. A Solids 26 969 981
17. M.K. Ghosh M. Kanoria 2008 Generalized thermoelastic problem of a spherically isotropic infinite elastic medium containing a spherical cavity J. Therm. Stress. 31 665 679
18. J. Aboudi M.J. Pindera S.M. Arnold 1995 Thermo-inelastic response of functionally graded composites Int. J. Solids Struct. 32 1675 1710
19. R.C. Wetherhold S.S. Wang 1996 The use of functionally graded materials to eliminate or control thermal deformation Compos. Sci. Technol. 28 1099 1104
20. Y. Sugano 1987 An expression for transient thermal stress in a nonhomogeneous plate with temperature variation through thickness Ing. Arch. 57 147 156
21. L.F. Qian R.C. Batra 2004 Transient thermoelastic deformations of a thick functionally graded plate J. Therm. Stress. 27 705 740
22. M.P. Lutz R.W. Zimmerman 1996 Thermal stresses and effective thermal expansion coefficient of a functionally graded sphere J. Therm. Stress. 19 39 54
23. G.R. Ye W.Q. Chen J.B. Cai 2001 A uniformly heated functionally graded cylindrical shell with transverse isotropy Mech. Res. Commun. 28 535 542
24. B.L. Wang Y.W. Mai 2005 Transient one dimensional heat conduction problems solved by finite element Int. J. Mech. Sci. 47 303 317
25. Z.S. Shao T.J. Wang K.K. Ang 2007 Transient thermo-mechanical analysis of functionally graded hollow circular cylinders J. Therm. Stress. 30 81 104
26. S.H. Mallik M. Kanoria 2007 Generalized thermo-elastic functionally graded solid with a periodically varying heat source Int. J. Solids struct. 44 7633 7645
27. A. Bagri M.R. Eslami 2007 A unified generalized thermoelasticity formulation: application to thick functionally graded cylinders J. Therm. Stress. 30 911 930
28. Y. Ootao Y. Tanigawa 2007 Transient thermoelastic problem of a functionally graded cylindrical panel due to nonuniform heat supply J. Therm. Stress. 30 441 457
29. N.C. Das A. Lahiri P.K. Sen 2006 Eigenvalue approach to three dimensional generalized thermoelasticity Bull. Calcutta Math. Soc. 98 305 318
30. Nowacki W.: Dynamic Problems of Thermoelasticity. Polish Scientific, Warszawa (1975)
31. H.M. Wang H.J. Ding Y.M. Chen 2005 Thermoelastic dynamic solution of a multilayered spherically isotropic hollow sphere for spherically symmetric problems Acta Mech. 173 131 145
32. Bellman R., Kolaba R.E., Lockette J.A.: Numerical Inversion of the Laplace Transform. American Elsevier, New York (1966)
33. Dhaliwal R.S., Sing A.: Dynamic Coupled Thermoelasticity. Hindustan, Delhi (1980)