Thermo-Dynamical Interactions in a Fibre-Reinforced Orthotropic Magneto-Elastic Material with Temperature-Dependent Properties and Gravity

被引:0
作者
Othman, Mohamed I. A. [1 ]
Sheoran, Devender [2 ]
Kumar, Ramesh [2 ]
Kalkal, Kapil Kumar [2 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
[2] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India
关键词
Fibre-reinforcement; magneto-thermoelasticity; orthotropic; temperature dependent properties; gravity; HYDROSTATIC INITIAL STRESS; THERMOELASTIC MEDIUM; MAGNETOTHERMOELASTIC MEDIUM; PLANE-WAVES; 2-TEMPERATURE; ROTATION; PROPAGATION; SOLIDS;
D O I
10.1134/S0025654424604105
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the Green-Lindsay theory is used to study two-dimensional interactions in fibre-reinforced orthotropic magneto-thermoelastic media with temperature dependence and gravity. Formulations are subjected to mechanical stress. An exact solution to the problem is achieved by applying normal mode techniques. In addition, comparisons were made to analyze the effects of temperature-dependent properties, gravity, magnetic field, time and gain parameters. Displacement, stress and temperature components are numerically calculated for appropriate materials and presented graphically. Graphical results show that reinforcement, gravity, magnetic field, temperature-dependent properties and time have a significant influence on the distribution of all physical quantities. Some interesting special cases emerge from this report.
引用
收藏
页码:2843 / 2860
页数:18
相关论文
共 38 条
  • [1] Hashin Z., Rosen W.B., The elastic moduli of fiber-reinforced materials, J. Appl. Mech, 31, pp. 223-332, (1964)
  • [2] Belfield A.J., Rogers T.G., Spencer A.J.M., Stress in elastic plates reinforced by fibers lying in concentric circles, J. Mech. Phys. Solids, 31, pp. 25-54, (1983)
  • [3] Sengupta P.R., Nath S., Surface waves in fibre-reinforced anisotropic elastic media, Sadhana, 26, pp. 363-370, (2001)
  • [4] Singh B., Wave propagation in an incompressible transversely isotropic fibre-reinforced elastic media, Arch. Appl. Mech, 77, pp. 253-258, (2007)
  • [5] Singh S.S., Zorammuana C., Incident longitudinal wave at a fibre-reinforced thermoelastic half-space, J. Vib. Control, 20, pp. 1895-1906, (2014)
  • [6] Said S.M., Othman M.I.A., Effect of mechanical force, rotation and moving internal heat source on a two-temperature fiber-reinforced thermoelastic medium with two theories,” Mech. Time-Dep, Mater, 21, pp. 245-261, (2017)
  • [7] Deswal S., Sheoran D., Thakran S., Kalkal K.K., Reflection of plane waves in a non-local microstretch thermoelastic medium with temperature-dependent properties under three-phase-lag model, Mech. Adv. Mater. Struct, 29, pp. 1692-1707, (2022)
  • [8] Othman M.I.A., Said S.M., Marin M., A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model, Int. J. Numer. Meth. Heat Fluid Flow, 29, pp. 4788-4806, (2019)
  • [9] Nayfeh A.H., Nemat-Nasser S., Electromagneto-thermoelastic plane waves in solids with thermal relaxation, J. Appl. Mech, 39, pp. 108-113, (1972)
  • [10] Ezzat M.A., Youssef H.Y., Generalized magneto-thermoelasticity in a perfectly conducting medium, Int. J. Solids Struct, 42, pp. 6319-6334, (2005)