A mode-I crack problem for an infinite space in generalized thermoelasticity

Journal of Thermal Stresses

Volumn 28, Issue 5, 2005, Pages 465-484

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

^a Alexandria University Faculty Of Science   (Egypt)

^b Egypt Mansoura University   (Egypt)

Author keywords

Crack; Generalized Thermoelasticity; Stress Intensity Factor; Thermal Stresses

Indexed keywords

AERODYNAMICS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; PROBLEM SOLVING; STRESS INTENSITY FACTORS; THERMAL STRESS; THERMOELASTICITY;

DISPLACEMENT; GENERALIZED THERMOELASTICITY; NONISOTHERMAL PROBLEMS; STEP SIZE;

CRACKS;

EID: 18444418890     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730590925001     Document Type: Article

References (24)

1. J. Nowinski, Theory of Thermoelasticity With Applications, Sijthoff & Noordhoff International, Alphen Aan Den Rijn, 1978.
2. V. Danilovskaya, Thermal Stresses In an Elastic Half-Space Due To A Sudden Heating Of Its Boundary (in Russian), Prikl. Mat. Mekh., vol. 14, pp. 316-321, 1950.
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. H. H. Sherief and N. M. El-Maghraby, An Internal Penny-Shaped Crack in an Infinite Thermoelastic Solid, J. Thermal Stresses, Paper No. 1163, 2002.
16. 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, 1980.
17. J. Tweed and G. Melrose, The Thermal Stresses Due To A Uniform Heat Flow Past Two Collinear Cracks, Int. J. Eng. Sci., vol. 26, pp. 1053-1057, 1988.
18. 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.
19. I. N. Sneddon, Fourier Transforms, Dover, New York, 1995.
20. R. V. Churchill, Operational Mathematics, third edition, McGraw-Hill, New York, 1972.
21. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1996.
22. B. N. Mandal and M. Mandal, Advances in Dual Integral Equations, Chapman & Hall/CRC, Boca Raton, FL, 1999.
23. L. Delves and J. Mohammed, Computational Methods for Integral Equations, Cambridge University Press, Cambridge, 1985.
24. 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.