An internal penny-shaped crack in an infinite thermoelastic solid

Journal of Thermal Stresses

Volumn 26, Issue 4, 2003, Pages 333-352

  Sherief, Hany H ^a   El Maghraby, Nasser M ^b  

^a Alexandria University Faculty Of Science   (Egypt)

^b Egypt Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRACK PROPAGATION; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; NUMERICAL METHODS; STRESS INTENSITY FACTORS; TEMPERATURE DISTRIBUTION; THERMAL STRESS;

FREDHOLM INTEGRAL EQUATIONS; INFINITE THERMOELASTIC SOLID; INTERNAL PENNY SHAPED CRACK; LAPLACE AND HANKEL TRANSFORM;

THERMOELASTICITY;

EID: 0242526862     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/713855898     Document Type: Article

References (25)

1. J. Nowinski, Theory of Thermoelasticity with Applications, Sijthoff & Noordhoff International Publishers, Alphen Aan Den Rijn, 1978.
2. V. Danilovskaya, Thermal Stresses in an Elastic Half-Space Due to a Sudden Heating of Its Boundary, Prikl. Mat. Mekh., vol. 14, pp. 316-321, 1950. (Russian)
3. M. Biot, Thermoelasticity and Irreversible Thermo-Dynamics, J. Appl. Phys, vol. 27, pp. 240-253, 1956.
4. H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
5. R. Dhaliwal and H. Sherief, Generalized Thermoelasticity for Anisotropic Media, Quart. Appl. Math., vol. 33, pp. 1-8, 1980.
6. J. Ignaczak, Uniqueness in Generalized Thermoelasticity, J. Thermal Stresses, vol. 2, pp. 171-175, 1979.
7. J. Ignaczak, A Note on Uniqueness in Thermoelasticity with One Relaxation Time, J. Thermal Stresses, vol. 5, pp. 257-263, 1982.
8. H. Sherief, On Uniqueness and Stability in Generalized Thermoelasticity, Quart. Appl. Math., vol. 45, pp. 773-778, 1987.
9. M. Anwar and H. Sherief, State Space Approach to Generalized Thermoelasticity, J. Thermal Stresses, vol. 11, pp. 353-365, 1988.
10. H. Sherief, State Space Formulation for Generalized Thermoelasticity with One Relaxation Time Including Heat Sources, J. Thermal Stresses, vol. 16, pp. 163-180, 1993.
11. H. Sherief and M. Anwar, State Space Approach to Two-Dimensional Generalized Thermoelasticity Problems, J. Thermal Stresses, vol. 17, pp. 567-590, 1994.
12. H. Sherief, Fundamental Solution of the Generalized Thermoelastic Problem for Short Times, J. Thermal Stresses, vol. 9, pp. 151-164, 1986.
13. H. Sherief and F. Hamza, Generalized Thermoelastic Problem of a Thick Plate under Axisymmetric Temperature Distribution, J. Thermal Stresses, vol. 17, pp. 435-453, 1994.
14. H. Sherief and F. Hamza, Generalized Two Dimensional Thermoelastic Problems in Spherical Regions under Axisymmetric Distributions, J. Thermal Stresses, vol. 19, pp. 55-76, 1996.
15. R. Dhaliwal, External Crack Due to Thermal Effects in an Infinite Elastic Solid with a Cylindrical Inclusion, In Thermal Stresses in Severe Environments, pp. 665-692, Plenum Press, New York and London, 1980.
16. J. Tweed and G. Melrose, The Thermal Stresses Due to a Uniform Heat Flow Past Two Collinear Cracks, Int. J. Engng. Sci., vol. 26, pp. 1053-1057, 1988.
17. N. Noda and Z. Jin, Steady Thermal Stresses in an Infinite Non-Homogeneous Elastic Solid Containing a Crack, J. Thermal Stresses, vol. 16, pp. 181-196, 1993.
18. I. N. Sneddon, Fourier Transforms, Dover Publications Inc., New York, 1995.
19. R. V. Churchill, Operational Mathematics,3rd ed., McGraw-Hill Book Company, New York, 1972.
20. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1996.
21. B. N. Mandal and M. Mandal, Advances in Dual Integral Equations, Chapman & Hall/CRC, Boca Raton, FL, 1999.
22. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Tables of Integral Transforms, McGraw-Hill, New York, 1954.
23. S. Samko, A. Kilbas, and O. Marichev, Fractional Integrals and Derivatives Theory and Applications, Gordon and Breach Science Publishers, Switzerland, 1993.
24. L. Delves and J. Mohammed, Computational Methods for Integral Equations, Cambridge University Press, Cambridge, 1985.
25. G. Honig and U. Hirdes, A Method for the Numerical Inversion of the Laplace Transform, J. Comp. Appl. Math, vol. 10, pp. 113-132, 1984.