scholarly journals Moving load response in micropolar thermoelastic medium without energy dissipation possessing cubic symmetry

2007 ◽  
Vol 44 (11-12) ◽  
pp. 4068-4078 ◽  
Author(s):  
Rajneesh Kumar ◽  
Praveen Ailawalia
Keyword(s):  
Energy Dissipation ◽  
Moving Load ◽  
Thermoelastic Medium ◽  
Cubic Symmetry ◽  
Load Response ◽  
Without Energy Dissipation

Effect of inclined load and magnetic field in a micropolar thermoelastic medium possessing cubic symmetry in the context of G-N theory

2018 ◽  
Vol 14 (2) ◽  
pp. 306-321 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
S.M. Abo-Dahab ◽  
Haneen A. Alosaimi
Keyword(s):  
Magnetic Field ◽  
Energy Dissipation ◽  
Normal Mode Analysis ◽  
Numerical Results ◽  
Mode Analysis ◽  
Inclined Load ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Cubic Symmetry ◽  
Without Energy Dissipation

Purpose The purpose of this paper is to study a model of the equations of a two-dimensional problem in a half space, whose surface in a free micropolar thermoelastic medium possesses cubic symmetry as a result of inclined load. The problem is formulated in the context of Green-Naghdi theory of type II (G-N II) (without energy dissipation) and of type III (G-N III) (with energy dissipation) under the effect of magnetic field. Design/methodology/approach The normal mode analysis is used to obtain the exact expressions of the physical quantities. Findings The numerical results are given and presented graphically when the inclined load and magnetic field are applied. Comparisons are made with the results predicted by G-N theory of both types II and III in the presence and absence of the magnetic field and for different values of the angle of inclination. Originality/value In the present work, the authors study the influence of inclined load and magnetic field in a micropolar thermoelastic medium in the context of the G-N theory of both types II and III. Numerical results for the field quantities are obtained and represented graphically.

scholarly journals Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation

2007 ◽  
Vol 48 (3) ◽  
pp. 433-447 ◽  
Author(s):  
Baljeet Singh
Keyword(s):  
Energy Dissipation ◽  
Thermal Effects ◽  
Plane Waves ◽  
Reflection Coefficients ◽  
Angle Of Incidence ◽  
Dimensional Model ◽  
Governing Equations ◽  
Thermoelastic Medium ◽  
Energy Ratios ◽  
Without Energy Dissipation

AbstractThe linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved to show the existence of four plane waves in a two-dimensional model. The expressions for velocities of these plane waves are obtained. The boundary conditions at the free surface are used to obtain a system of four nonhomogeneous equations. These equations are solved numerically for a particular model to obtain reflection coefficients for the incidence of coupled longitudinal displacement and coupled transverse microrotational waves. These reflection coefficients as well as the energy ratios are computed and are shown graphically with the angle of incidence in the presence and absence of thermal effects.

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