Effect of rotation on plane waves of generalized electro-magneto-thermoviscoelasticity with two relaxation times

Applied Mathematical Modelling

Volumn 32, Issue 5, 2008, Pages 811-825

  Othman, Mohamed I A ^a   Song, Yaqin ^b,c  

^a Faculty of Education   (Oman)

^b CNRS   (France)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Electro magneto thermoviscoelasticity; G L theory; Rotation

Indexed keywords

ELECTRIC FIELD EFFECTS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; RELAXATION TIME; STRESS CONCENTRATION; TEMPERATURE DISTRIBUTION; THERMAL SHOCK; VISCOELASTICITY;

ELECTRO-MAGNETTO-THERMOVISCOELASTICITY; HALF-SPACE SOLID;

SURFACE WAVES;

ELECTRIC FIELD EFFECTS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; RELAXATION TIME; STRESS CONCENTRATION; SURFACE WAVES; TEMPERATURE DISTRIBUTION; THERMAL SHOCK; VISCOELASTICITY;

EID: 38349126483     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.02.025     Document Type: Article

References (23)

1. Ilioushin A.A., and Pobedria B.E. Fundamentals of the Mathematical Theory of Thermal Viscoelasticity (1970), Nauka, Moscow (in Russian)
2. Biot M.A. Theory of stress-strain relations in an isotropic viscoelasticity, and relaxation phenomena. J. Appl. Phys. 18 (1954) 27-34
3. Biot M.A. Variational principle in irreversible thermodynamics with application to viscoelasticity. Phys. Rev. 97 (1955) 1463-1469
4. Morland L.W., and Lee E.H. Stress analysis for linear viscoelastic materials with temperature variation. Trans. Soc. Rheol. 4 (1960) 233-263
5. Tanner R.I. Engineering Rheology (1988), Oxford University Press, Oxford
6. Huilgol R., and Phan-Thien N. Fluid Mechanics of Viscoelasticity (1997), Elsevier, Amsterdam
7. Drozdov A.D. A constitutive model in thermoviscoelasticity. Mech. Res. Commun. 23 (1996) 543-548
8. Bland D.R. The Theory of Linear Viscoelasticity (1960), Pergamon Press, Oxford
9. Gurtin M.E., and Sternberg E. On the linear theory of viscoelasticity. Arch Ration. Mech. Anal. 11 (1962) 291-356
10. Sternberg E. On the analysis of thermal stresses in viscoelastic solids. Brown Univ. Dir. Appl. Math. 19 (1963) 213-219
11. Ilioushin A.A. The approximation method of calculating the constructures by linear thermal viscoelastic theory. Megh. Polim. 2 (1968) 168-178
12. M.A. Koltunov, Creeping and Relaxation, Moscow, 1976.
13. Lord H.W., and Shulman Y. A generalized dynamic theory of thermo-elasticity. J. Mech. Phys. Solids 15 (1967) 299-309
14. Green A.E., and Lindsay K.E. Thermo-elasticity. J. Elasticity 2 (1972) 1-7
15. Chandrasekharaiah D.S. Thermo-elasticity with second sound: a review. Appl. Mech. Rev. 39 (1986) 355-376
16. Chandrasekharaiah D.S. Hyperbolic thermo-elasticity. A review of recent literature. Appl. Mech. Rev. 51 (1998) 705-729
17. Misra S.C., Samanata S.C., and Chakrabarti A.K. Transient magneto-thermo-elastic waves in a viscoelastic half-space produced by Ramp-Heating of its surface. Comput. Struct. 43 (1992) 951-957
18. Othman M.I.A., Ezzat M.A., Zaki S.A., and El-Karamany A.S. Generalized thermo-viscoelastic plane waves with two relaxation times. Int. J. Eng. Sci. 40 (2002) 1329-1347
19. Othman M.I.A. Generalized electromagneto-thermoviscoelastic in case of 2-D thermal shock problem in a finite conducting half-space with one relaxation time. Acta Mech. 169 (2004) 37-51
20. Othman M.I.A. Effect of rotation and relaxation time on a thermal shock problem for a half-space in generalized thermoviscoelasticity. Acta Mech. 174 (2005) 129-143
21. Ezzat M.A., Othman M.I.A., and El-Karamany A.S. State-space approach to two-dimensional generalized thermoviscoelasticity with one relaxation Time. J. Thermal Stress. 25 (2002) 295-316
22. Ezzat M.A., Othman M.I.A., and El-Karamany A.S. State-space approach to two-dimensional generalized thermoviscoelasticity with two relaxation times. Int. J. Eng. Sci. 40 (2002) 1251-1274
23. B.E. Pobedria, Coupled problems in continuum mechanics, J. Durability Plasticity, no. 1, Moscow State University, Moscow, 1984.