A thermoviscoelastic problem of an infinite medium with a spherical cavity using generalized theory of thermoelasticity

Mathematical and Computer Modelling

Volumn 41, Issue 1, 2005, Pages 25-32

  Rakshit Kundu, M ^a   Mukhopadhyay, B ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITATION; LAPLACE TRANSFORMS; PROBLEM SOLVING; RELAXATION PROCESSES; STRESS CONCENTRATION; TEMPERATURE DISTRIBUTION; THERMOELASTICITY;

INFINITE MEDIA; SPHERICAL CAVITIES; THERMOVISCOELASTIC PROBLEMS; VECTOR MATRIX DIFFERENTIAL METHOD;

VISCOELASTICITY;

EID: 18844383710     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.07.009     Document Type: Article

References (24)

1. H.W. Lord, and Y. Shulman The generalized dynamical theory of thermoelasticity J. Mech. Phys. Solids. 15 1967 299 309
2. A.E. Green, and K.A. Lindsay Thermoelasticity J. Elast. 2 1972 1 7
3. R.S. Dhaliwal, and H.H. Sherief Generalized thermoelasticity for anisotropic media Quart. Appl. Math. 38 1980 1 8
4. B. Gross Mathematical Structure of the Theories of Viscoelasticity 1953 Hemman Oxford
5. J.D. Ferry Visco Elastic Properties of Polymers 1970 J. Wiley and Sons Paris
6. B.A. Boley, and J.H. Weiner Theory of Thermal Stresses 1962 John Wiley and sons, Inc. New York
7. A.C. Eringen Mechanics of Continua 1967 John Wiley and Sons, Inc. New York
8. A.C. Eringen, and G.A. Maugin Electrodynamics of Continua 1990 Springer-Verlag New York
9. D.R. Bland The Theory of Linear Visco-elasticity 1990 Pergamon Press New York
10. Y.C. Fung Foundation of Solid Mechanics 1968 Prentice-Hall New York
11. M. Gurtin, and E. Sternberg On linear theory of viscoelasticity Arch. Rat. Mech. 11 1962 291
12. B.E. Pobedria Coupled problems in continuum mechanics J. Durability and Plasticity I 1984
13. A.A. Illioushin, and B.E. Pobedria Mathematical Theory of Thermal Visco-Elasticity 1970 Nauka Englewood Cliffs, NJ
14. A.S. El-Karamany Deformation of a non-homogeneous visco-elastic hollow sphere Eng. Trans. Warsaw 31 1983 267 271
15. H.H. Hilton Implications and constraints of time independent Poisson ratios in linear isotropic and anisotropic visco elasticity Journal of Elasticity 63 2001 221 251
16. H.H. Hilton, and S. Yi The significance of (an) isotropic visco elastic Poisson ratio stress and time dependencies Int. J. Sol. Struct. 35 1998 3081 3095
17. H.H. Hilton, and S.B. Dong An analogy for anisotropic, non-homogeneous, linear visco elasticity including thermal stresses Development in Mechanics 1964 Pergamon Press Moscow 58 73
18. S. Yi, H.H. Hilton, and M.F. Ahmad Nonlinear thermo visco elastic analysis of interlaminer stresses in laminated composites ASME J. Appl. Mech. 63 1966 218 224
19. S. Mukhopadhyay Effects of thermal relaxations on thermo-visco-elastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading on the boundary J. Thermal Stresses 23 2000 675 684
20. J.C. Misra, N.C. Chattopadhyay, and S.C. Samanta Thermo-visco-elastic waves in an infinite aeolotropic body with a cylindrical cavity: A study under the review of generalized theory of thermo elasticity Comput. Struct. 52 1994 705 717
21. B. Mukhopadhyay, and R.K. Bera Effect of distributed instantaneous and continuous heat sources in an infinite conducting magneto-thermo-visco-elastic solid with thermal relaxation Computers Math. Applic. 18 8 1989 723 728
22. M.A. Ezzat, and A.S. El-Karamany The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity for anisotropic media J. Thermal Stresses 25 2002 507 522
23. M.A. Ezzat, and A.S. El-Karamany The relaxation effects of the volume properties of viscoelastic material in generalized thermoelasticity Int. J. Engng. Sci. 41 2003 2281 2298
24. W.T. Guy, and M.K. Miller Numerical Inversion of the Laplace Transform by the use of Jacobi Polynomials SIAM J. Num. Anal. 3 1966 624 635