Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity

Archive of Applied Mechanics

Volumn 78, Issue 4, 2008, Pages 283-293

  Abbas, Ibrahim A ^a   Abd Alla, Abo El Nour N ^a  

^a Sohag University   (Egypt)

Author keywords

Finite element method; Generalized thermoelasticity; Orthotropic medium

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PARAMETER ESTIMATION; STRESS CONCENTRATION;

CAVITY SURFACE; GENERALIZED THERMOELASTICITY; ORTHOTROPIC MEDIUM; THERMAL RELAXATIONS;

THERMOELASTICITY;

EID: 39449112381     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-007-0156-7     Document Type: Article

References (20)

1. Lord H. and Shulman Y. (1967). A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15: 299-309
2. Green A.E. and Lindsay K.A. (1972). Thermoelasticity. J. Elast. 2: 1-7
3. Ignaczak J. (1981). Linear dynamic thermoelasticity-a survey. Shock Vib. Dig. 13(9): 3-8
4. Bahar, L., Hetnarski, R.: State space approach to thermoelasticity. In: Proceedings of 6th Canadian Congress on Applied Mechanics, pp. 17-18. University of British Columbia, Vancouver (1977)
5. Bahar, L., Hetnarski, R.: Transfer matrix approach to thermoelasticity. In: Proceedings of the 15th Midwest Mechanic Conference, pp.161-163. University of Illinois, Chicago (1977)
6. Sharma J.N. and Chand D. (1992). On the axisymmetrical and plane strain problems of generalized thermoelasticity. Int. J. Eng. Sci. 30: 223-230
7. Chandrasekharaiah D.S. and Murthy H.N. (1993). Thermoelastic interactions in an unbounded body with a spherical cavity. J. Therm. Stresses 16: 55-71
8. Misra J.C., Chattopadhyay N.C. and Samanta S.C. (1994). Thermoviscoelastic waves in an infinite aeolotropic body with a cylindrical cavity-a study under the review of generalized theory of thermoelasticity. Comput. Struct. 52(4): 705-717
9. Sherief H.H. (1994). A thermomechanical shock problem for thermoelasticity with two relaxation times. Int. J. Eng. Sci. 32: 315-325
10. Youssef H.M. (2006). Problem of generalized thermoelastic infinite medium with cylindrical cavity subjected to a ramp-type heating and loading. Arch. Appl. Mech. 75: 553-565
11. Mukhopadhyay S. (2002). Thermoelastic interaction in a transversely isotropic elastic medium with a cylindrical hole to ramp-type inease in boundary temperature or load. J. Therm. Stresses 25: 341-362
12. Chandrasekharaiah D.S. (1996). One-dimensional wave propagation in the linear theory of thermoelasticity with energy dissipation. J. Therm. Stresses 19: 695-710
13. Abd-alla A.N. and Abbas I. (2002). A Problem of generalized magnetothermoelasticity for an infinitely long, perfectly conducting cylinder. J. Therm. Stresses 25: 1009-1025
14. Misra J.C., Samanta S.C., Chakraborty A.K. and Misra S.C. (1991). Magnetothermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating. Int. J. Eng. Sci. 29(12): 1505-1514
15. Misra J.C., Samanta S.C. and Chakraborty A.K. (1991). Magnetothermoelastic interaction in an aeolotropic solid cylinder subjected to a ramp-type heating. Int. J. Eng. Sci. 29(9): 1065-1075
16. Misra J.C., Chattopadhyay N.C. and Samanta S.C. (1996). Study of the thermoelastic interactions in an elastic half space subjected to a ramp-type heating-a state-space approach. Int. J. Eng. Sci. 34(5): 579-596
17. Dhaliwal R.S. and Sing A. (1980). Dynamic Coupled Thermoelasticity. Hindustan, Delhi, India
18. Zienkiewicz O.C. and Taylor R.L. (2000). The finite element method. Fluid dynamics. Butterworth-Heinemann, Oxford, UK
19. Reddy J.N. (1993). An Introduction to the finite element method. McGraw-Hill, New York
20. Cook R.D., Malkus D.S. and Plesha M.E. (1989). Concepts and applications of finite element analysis. Wiley, New York