The effect of gravity and hydrostatic initial stress with variable thermal conductivity on a magneto-fiber-reinforced

다국어 초록 (Multilingual Abstract)

The present paper is concerned at investigating the effect of hydrostatic initial stress, gravity and magnetic field in fiber-reinforced thermoelastic solid, with variable thermal conductivity. The formulation of the problem applied in the context of the three-phase-lag model, Green-Naghdi theory with energy dissipation, as well as coupled theory. The exact expressions of the considered variables by using state-space approaches are obtained. Comparisons are performed in the absence and presence of the magnetic field as well as gravity. Also, a comparison was made in the three theories in the absence and presence of variable thermal conductivity as well as hydrostatic initial stress. The study finds applications in composite engineering, geology, seismology, control system and acoustics, exploration of valuable materials beneath the earth’s surface.

참고문헌 (Reference)

1 Samia M. Said, "Wave propagation in a two-temperature fiber-reinforced magneto-thermoelastic medium with three-phase-lag model" 국제구조공학회 57 (57): 201-220, 2016

2 Marin, M., "Uniqueness results for a boundary value problem in dipolar thermoelasticity to model composite materials" 126 : 27-37, 2017

3 Abbas, I. A., "Two-temperature generalized thermoelasticity under ramp-type heating by finite element method" 48 (48): 331-339, 2013

4 Abbas, I. A., "Three-phase lag model on thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a cylindrical cavity" 11 (11): 987-992, 2014

5 Green, A. E., "Thermoelasticity without energy dissipation" 31 : 189-208, 1993

6 Green, A. E., "Thermoelasticity" 2 : 1-7, 1972

7 Noda, N., "Thermal Stresses in Materials with Temperature- Dependent Properties" 1986

8 Othman, M. I. A., "The effect of variabile thermal conductivity on an infinite fiber-reinforced thick plate under initial stress" 14 (14): 277-293, 2019

9 Othman, M. I. A., "The effect of rotation on a fibre-reinforced medium under generalized magneto-thermo-elasticity with internal heat source" 22 (22): 168-183, 2015

10 Othman, M. I. A., "The effect of mechanical force on generalized thermoelasticity in a fiber-reinforced under three theories" 33 (33): 1082-1099, 2012

11 Belfield, A. J., "Stress in elastic plates reinforced by fibre lying in concentric circles" 31 : 25-54, 1983

12 Zorammuana, C., "SH-wave at a plane interface between homogeneous and inhomogeneous fibre-reinforced elastic half-spaces" 2015 : 1-8, 2015

13 England, A. H., "Plane crack problems for ideal fibre-reinforced materials" 26 : 303-320, 1973

14 Green, A. E., "On undamped heat waves in an elastic solid" 15 : 253-264, 1992

15 Marin, M., "On temporal behaviour of solutions in thermoelasticity of porous micro-polr bodies" 22 (22): 169-188, 2014

16 Montanaro, A., "On singular surface in isotropic linear thermoelasticity with initial stress" 106 : 1586-1588, 1999

17 Pipkin, A. C., "In Finite Deformations of Ideal Fiber-Reinforced Composites" Academic Press 1973

18 Abbas, I. A., "Generalized thermoelastic interaction in a fibre-reinforced anisotropic half-space under hydrostatic initial stress" 18 (18): 175-182, 2012

19 Othman, M. I. A., "Generalized thermo-elasticity of thermal-shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation" 33 (33): 913-923, 2012

20 Hetnarski, R. B., "Generalized thermo-elasticity" 22 : 451-476, 1999

21 Abbas, I. A., "Generalized magneto-thermoelasticity in a fibre-reinforced anisotropic half-space" 32 (32): 1071-1085, 2011

22 Marin, M., "Existence and stability results for thermoelastic dipolar bodies with double porosity" 28 (28): 1645-1657, 2016

23 Roy Choudhuri, S. K., "Electro-magneto-thermoelastic plane waves in rotating media with thermal relaxation" 22 (22): 519-530, 1984

24 Ibrahim A. Abbas, "Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory" 대한기계학회 28 (28): 4193-4198, 2014

25 Ahmad, F., "Effect of rotation on wave propagation in a transversely isotropic medium" 7 (7): 147-154, 2001

26 Othman, M. I. A., "Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method" 46 (46): 413-421, 2011

27 Othman, M. I. A., "Effect of rotation on a fiber-reinforced thermoelastic under Green-Naghdi theory and influence of gravity" 49 (49): 23-36, 2014

28 Marin Marin, "Effect of microtemperatures for micropolar thermoelastic bodies" 국제구조공학회 61 (61): 381-387, 2017

29 Othman, M. I. A., "Effect of hydrostatic initial stress and gravity field on a fiber-reinforced thermoelastic medium with fractional derivative heat transfer" 9 (9): 410-426, 2013

30 Green, A. E., "A re-examination of the basic postulate of thermo-mechanics" 432 : 171-194, 1991

31 Quintanilla, R., "A note on stability in three-phase-lag heat conduction" 51 : 24-29, 2008

32 Zenkour, A. M., "A generalized thermo-elasticity problem of an annular cylinder with temperature-dependent density and material properties" 84 : 54-60, 2014

33 Lord, H. W., "A generalized dynamical theory of thermoelasticity" 15 : 299-309, 1967

34 Othman, M. I. A., "2-D problem of magneto-thermoelasticity fiber-reinforced medium under temperature-dependent properties with three-phase-lag theory" 49 (49): 1225-1243, 2014