A two-dimensional generalized thermoelasticity problem for a half-space under the action of a body force

Journal of Thermal Stresses

Volumn 31, Issue 6, 2008, Pages 557-568

  El Maghraby, Nasser M ^a  

^a Egypt Mansoura University   (Egypt)

Author keywords

Body forces; Exponential Fourier transform; Generalized thermoelasticity; Half space; Laplace transform

Indexed keywords

THERMOELASTICITY; TWO DIMENSIONAL;

BODY FORCES; BOUNDING PLANE; DIRECT APPROACH; FOURIER; GENERALIZED THERMO-ELASTICITY; HALF SPACES; NUMERICA L RESULTS; TRANSFORM TECHNIQUES; TRANSFORMED DOMAIN; TWO-DIMENSIONAL (2D); TWO-DIMENSIONAL (2D) PROBLEMS;

FOURIER TRANSFORMS;

EID: 45849124604     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730801978281     Document Type: Article

References (18)

1. H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
2. R. Dhaliwal and H. Sherief, Generalized Thermoelasticity for Anisotropic Media, Quart. Appl. Math., vol. 33, pp. 1-8, 1980.
3. J. Ignaczak, Uniqueness in Generalized Thermoelasticity, J. Thermal Stresses, vol. 2, pp. 171-175, 1979.
4. J. Ignaczak, A Note on Uniqueness in Thermoelasticity With One Relaxation Time, J. Thermal Stresses, vol. 5, pp. 257-263, 1982.
5. H. Sherief, On Uniqueness and Stability in Generalized Thermoelasticity, Quart. Appl. Math., vol. 45, pp. 773-778, 1987.
6. M. Anwar and H. Sherief, State Space Approach to Generalized Thermoelasticity, J. Thermal Stresses, vol. 11, pp. 353-365, 1988.
7. H. Sherief, State Space Formulation for Generalized Thermoelasticity with One Relaxation Time Including Heat Sources, J. Thermal Stresses, vol. 16, pp. 163-180, 1993.
8. H. Sherief and M. Anwar, State Space Approach To Two - Dimensional Generalized Thermoelasticity Problems, J. Thermal Stresses, vol. 17, pp. 567-590, 1994.
9. H. Sherief, Fundamental Solution of the Generalized Thermoelastic Problem for Short Times, J. Thermal Stresses, vol. 9, pp. 151-164, 1986.
10. H. Sherief and N. M. El-Maghraby, An Internal Penny Shaped-Crack in an Infinite Thermoelastic Solid, J. Thermal Stresses, vol. 26, pp. 333-352, 2003.
11. H. Sherief and N. M. El-Maghraby, A Mode-I Crack in an Infinite Space in Generalized Thermoelasticity, J. Thermal Stresses, vol. 28, pp. 465-484, 2005.
12. H. Sherief and K. Helmy, A Two Dimensional Generalized Thermoelasticity Problem for a Half-Space, J. Thermal Stresses, vol. 22, pp. 897-910, 1999.
13. N. M. El-Maghraby, Two-Dimensional Problem in Generalized Thermoelasticity with Heat Sources, J. Thermal Stresses, vol. 27, pp. 227-240, 2004.
14. N. M. El-Maghraby, A Two-Dimensional Problem for a Thick Plate with Heat Sources in Generalized Thermoelasticity, J. Thermal Stresses, vol. 28, pp. 1227-1241, 2005.
15. Heba A. Saleh, Problem in Generalized Thermoelasticity for a Half-Space under The Action of a Body Force, J. Thermal Stresses, vol. 28, pp. 253-266, 2005.
16. R. V. Churchill, Operational Mathematics, Third edition, McGraw-Hill Book Company, New York, 1972.
17. I. N. Sneddon, Fourier Transforms, Dover Publications Inc., New York, 1995.
18. 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.