The effect of rotation on piezo-thermoelastic medium using different theories

- Journal title : Structural Engineering and Mechanics
- Volume 56, Issue 4, 2015, pp.649-665
- Publisher : Techno-Press
- DOI : 10.12989/sem.2015.56.4.649

Title & Authors

The effect of rotation on piezo-thermoelastic medium using different theories

Othman, Mohamed I.A.; Ahmed, Ethar A.A.;

Othman, Mohamed I.A.; Ahmed, Ethar A.A.;

Abstract

The present paper attempts to investigate the propagation of plane waves in generalized piezo-thermoelastic medium under the effect of rotation. The normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress and the strain components. Comparisons are made with the results predicted by different theories (Coupled theory, Lord-Schulman, Green-Lindsay) in the absence and presence of rotation.

Keywords

rotation;piezo-thermoelasticity;relaxation time;normal mode analysis;generalized thermoelasticity;

Language

English

Cited by

References

1.

Abd-alla, A.N. and Alsheikh, F.A. (2009), "Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses", Arch. Appl. Mech., 79, 843-857.

2.

Abd-alla, A.N., Alsheikh, F.A. and Al-Hossain, A.Y. (2012), "The reflection phenomena of quasi-vertical transverse waves in piezoelectric medium under initial stresses", Meccanica, 47, 731-744.

3.

Abd-Alla, A.E.N.N., Eshaq, H.A. and ElHaes, H. (2011), "The phenomena of reflection and transmission waves in smart nano materials", J. Comp. Theor. Nanosci., 8(9), 1670-1678.

4.

Abd-alla, A.N., Hamdan, A.M., Giorgio, I. and Del Vescovo, D. (2014), "The mathematical model of reflection and reflection of longitudinal waves in thermo-piezoelectric materials", Arch. Appl. Mech., 84, 1229-1248.

5.

6.

Chandrasekharaiah, D.S. (1988), "A generalized thermoelastic wave propagation in a semi-infinite piezoelectric rod", Acta Mech., 71, 39-49.

7.

Ellahi, R. and Ashgar, S. (2007a), "Couette flow of a Burgers' fluid with rotation", Int. J. Fluid Mech. Res., 34(6), 548-561.

8.

Gates, W.D. (1968), "Vibrating angular rate sensor may threaten the gyroscope", Electronic, 41, 103-134.

10.

Hayat, T., Ellahi, R. and Asghar, S. (2004a), "Unsteady periodic flows of a magnetohydrodynamic fluid due to non-coaxial rotations of a porous disk and fluid at infinity", Math. Comput. Model., 40, 173-179.

11.

Hayat, T., Ellahi, R. and Asghar, S. (2007b), Unsteady magnetohydrodynamic non-Newtonian flow due to non-coaxial rotations of a disk and a fluid at infinity", Chem. Eng. Commun., 194(1), 37-49.

12.

Hayat, T., Ellahi, R., Asghar, S. and Siddiqui, A.M. (2004b), "Flow induced by non-coaxial rotation of a porous disk executing non-torsional oscillating and second grade fluid rotating at infinity", Appl. Math. Model., 28, 591-605.

13.

Hayat, T., Mumtaz, S. and Ellahi, R. (2003), "MHD unsteady flows due to non-coaxial rotations of a disk and a fluid at infinity", Acta Mech. Sinica, 19(3), 235-240.

14.

Hou, P.F., Leung, A.Y.T. and Chen, C.P. (2008), "Three dimensional fundamental solution for transversely isotropic piezothermoelastic material", Int. J. Numer. Meth. Eng., 7, 84-100.

15.

Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys., 15, 299-309.

16.

Mindlin, R.D. (1961), "On the equations of motion of piezoelectric crystals", Prob. Contin. Mech., 70, 282-290.

17.

Mindlin, R.D. (1974), "Equation of high frequency vibrations of thermo-piezoelectric plate", Int. J. Solid. Struct., 10, 625-637.

18.

Nowacki, W. (1978), "Some general theorems of thermo-piezo-electricity", J. Therm. Stress., 1, 171-182.

19.

Nowacki, W. (1979), "Foundations of linear piezoelectricity", Electromagnetic interactions in Elastic Solids, Springer, Wein, Chapter 1.

20.

Othman, M.I.A. (2004), "Effect of rotation on plane waves in generalized thermoelasticity with two relaxation times", Int. J. Solid. Struct., 41(11-12), 2939-2956.

21.

Othman, M.I.A., Atwa, S.Y. and Farouk, R.M. (2008), "Generalized magneto-thermovisco-elastic plane waves under the effect of rotation without energy dissipation", Int. J. Eng. Sci., 46, 639- 653.

22.

Othman, M.I.A. and Atwa, S.Y. (2014), "Effect of rotation on a fibre-reinforced thermoelastic under Green-Naghdi theory and influence of gravity", Meccanica, 49, 23-36.

23.

Othman, M.I.A., Hasona, W.M. and Abd-Elaziz, E.M. (2014), "Effect of rotation on micropolar generalized thermoelasticity with two temperature using a dual-phase-lag model", Can. J. Phys., 92(2), 149-158.

24.

Othman, M.I.A., Ezzat, M.A., Zaki, A. and El Karamany, A.S. (2002), "Generalized thermo-visco-elastic plane waves with two relaxation times", Int. J. Eng. Sci., 40, 1329-1347.

25.

Othman, M.I.A. (2002), "Lord-shulman theory under the dependence of the modulus of elasticity on the reference temperature in two dimensional generalized thermoelasticity", J. Therm. Stress., 25(11), 1027-1045.

26.

Othman, M.I.A. and Atwa, S.Y. (2014), "Propagation of plane waves of a mode-I crack for a generalized thermo-elasticity under influence of gravity for different theories", Mech. Adv. Mater. Struct., 21(9), 97-709.

27.

Sharma, J.N. and Walia, V. (2007), "Effect or rotation on Rayleigh waves in piezothermoelastic half space", Int. J. Solid. Struct., 44, 1060-1072.