The relaxation effects of the volume properties of viscoelastic material in generalized thermoelasticity with thermal relaxation

Journal of Thermal Stresses

Volumn 26, Issue 7, 2003, Pages 671-690

  Ezzat, Magdy A ^a   El Karamany, Ahmed S ^a   Samaan, Angail A ^a   Zakaria, M ^a  

^a Alexandria University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; LAPLACE TRANSFORMS; ONE DIMENSIONAL; RELAXATION PROCESSES; STATE SPACE METHODS; THERMAL STRESS; THERMOELASTICITY; VOLUME MEASUREMENT;

RELAXATION EFFECTS; THERMAL RELAXATION; THERMAL SHOCK PROBLEM; VISCOUS EFFECT; VOLUME PROPERTIES;

VISCOELASTICITY;

EID: 0242526881     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/713855997     Document Type: Article

References (32)

1. L. Bahar and R. Hetnarski, State Space Approach to Thermoelasticity, J. Thermal Stresses, vol. 1, pp. 135-145, 1978.
2. B. Gross, Mathematical Structure of the Theories of Viscoelasticity, Hemann, Paris, 1953.
3. A. J. Staverman and F. Schwarz, Die Physik der Hochpolymeren, H. A. Stuart (ed.), vol. 4, ch. 1, Springer-Verlag, New York, 1956.
4. T. Alfey and E. F. Gumee, Rheology: Theory and Applications, F. R. Eirich (ed.), vol. 1, Academic Press, New York, 1956.
5. J. D. Ferry, Viscoelastic Properties of Polymers, J. Wiley and Sons, New York, 1970.
6. M. A. Biot, Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena, J. Appl. Phys., vol. 25, pp. 1385-1391, 1954.
7. M. A. Biot, Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity, Phys. Rev., vol. 97, pp. 1463-1469, 1955.
8. L. W. Morland and E. H. Lee, Stress Analysis for Linear Viscoelastic Material with Temperature Variation, Trans. Soc. Rheol., vol. 4, pp. 233-263, 1960.
9. R. I. Tanner, Engineering Rheology, Oxford University Press, Oxford, 1988.
10. R. R. Hilgol and N. Phan-Thien, Fluid Mechanics of Viscoelasticity, Elsevier, Amsterdam, 1997.
11. D. R. Bland, The Theory of Linear Viscoelasticity, Pergamon Press, Oxford, 1960.
12. M. E. Gurtin and E. Sternberg, On the Linear Theory of Viscoelasticity, Arch. Rat. Mech. Anal., vol. 11, pp. 291-356, 1962.
13. E. Sternberg, On the analysis of thermal stresses in viscoelastic solids, Proc. 3rd Symp. Nav. Structural Mech., p. 348, Macmillan, New York, 1964.
14. A. A. Ilioushin, The Approximation Method of Calculating the Constructions by Linear Thermal Viscoelastic Theory, Mekh. Polimerov Riga, vol. 2, pp. 210-221, 1968.
15. A. A. Ilioushin and B. E. Pobedria, Mathematical Theory of Thermal Viscoelasticity, Nauka, Moscow, 1970.
16. B. E. Pobedria, Coupled Problems in Continuum Mechanics, J. Durability and Plasticity, no. 1, pp. 224-253, Moscow State University, Moscow, 1984.
17. M. A. Koltunov, Creeping and Relaxation, Izd.Vishaya, Shkola, Moscow, 1976.
18. M. Biot, Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., vol. 27, pp. 240-253, 1956.
19. H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
20. R. Dhaliwal and H. Sherief, Generalized Thermoelasticity for Anisotropic Media, Quart. Appl. Math., vol. 33, pp. 1-8, 1980.
21. H. Sherief, Fundamental Solution of the Generalized Thermoelastic Problem for Small Times, J. Thermal Stresses, vol. 9, pp. 151-164, 1986.
22. H. Sherief and M. Anwar, Problem in Generalized Thermoelasticity, J. Thermal Stresses, vol. 9, pp. 165-181, 1986.
23. H. Sherief and M. Ezzat, Solution of the Generalized Problem of Thermoelasticity in the Form of Series of Functions, J. Thermal Stresses, vol. 17, pp. 75-95, 1994.
24. M. Ezzat, A. El-Karamany and A. Samaan, State Space Formulation to Generalized Thermoviscoelasticity with Thermal Relaxation, J. Thermal Stresses, vol. 24, pp. 823-846, 2001.
25. G. Honig and U. Hirdes, A Method for the Numerical Inversion of Laplace Transform, J. Comp. Appl. Mech., vol. 10, pp. 113-132, 1984.
26. M. Ezzat and A. El-Karamany, The Uniqueness and Reciprocity Theorems for Generalized Thermoviscoelasticity for Anisotropic Media, J. Thermal Stresses, vol. 25, pp. 507-522, 2002.
27. Y. C. Fung, Foundation of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ, 1968.
28. A. M. El-Karamany, Deformation of a Non-Homogeneous Viscoelastic Hollow Sphere, Engng. Trans., Warsaw, vol. 31, pp. 267-271, 1983.
29. W. Nowacki, Two One-Dimensional Problem of the Thermoelasticity, Arch. Mech. Stos., vol. 11, pp. 333-346, 1959.
30. W. Nowacki, Some Dynamic Problems of Thermoelasticity, Arch. Mech. Stos., vol. 11, pp. 259-283, 1959.
31. K. Ogata, State Space Analysis of Control Systems, ch. 6, Prentice-Hall, Englewood Cliffs, NJ, 1967.
32. M. Ezzat, State Space Approach to Generalized Magneto-Thermoelasticity with Two Relaxation Times in a Medium of Perfect Conductivity, Int. J. Engng Sci., vol. 35, pp. 741-752, 1997.