On the dynamical problem of a generalized thermoelastic granular infinite cylinder under initial stress

1992 ◽  
Vol 190 (2) ◽  
pp. 177-190 ◽  
Author(s):  
A. M. Elnaggar
Keyword(s):  
Initial Stress ◽  
Dynamical Problem ◽  
Infinite Cylinder ◽  
Generalized Thermoelastic

scholarly journals Effect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized Thermoelasticity

2017 ◽  
Vol 6 (1) ◽  
pp. 17-35 ◽  
Author(s):  
D. K. Sharma ◽  
Himani Mittal ◽  
Sita Ram Sharma ◽  
Inder Parkash
Keyword(s):  
Heat Conduction ◽  
Laplace Transformation ◽  
Numerical Technique ◽  
Equations Of Motion ◽  
Generalized Thermoelasticity ◽  
Dynamical Problem ◽  
Infinite Cylinder ◽  
Matlab Software ◽  
Voigt Model ◽  
Laplace Transformations

We considera dynamical problem for semi-infinite viscothermoelastic semi infinite cylinder loaded mechanically and thermally and investigated the behaviour of variations of displacements, temperatures and stresses. The problem has been investigated with the help of five theories of the generalized viscothermoelasticity by using the Kelvin – Voigt model. Laplace transformations and Hankel transformations are applied to equations of constituent relations, equations of motion and heat conduction to obtain exact equations in transformed domain. Hankel transformed equations are inverted analytically and for the inversion of Laplace transformation we apply numerical technique to obtain field functions. In order to obtain field functions i.e. displacements, temperature and stresses numerically we apply MATLAB software tools. Numerically analyzed results for the temperature, displacements and stresses are shown graphically.

On a generalized thermo-elastic problem in an infinite cylinder under initial stress

1987 ◽  
Vol 37 (3) ◽  
pp. 213-223 ◽  
Author(s):  
A. M. Elnagar ◽  
A. M. Abd-Allah
Keyword(s):  
Initial Stress ◽  
Elastic Problem ◽  
Infinite Cylinder

Effects of Two-Temperature, Rotation, Initial Stressed Magnetic Field on Rayleigh Wave in Half-Plane

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Heena Sharma ◽  
Sangeeta Kumari
Keyword(s):  
Rayleigh Wave ◽  
Initial Stress ◽  
Secular Equation ◽  
Attenuation Factor ◽  
Radiation Condition ◽  
Amplitude Attenuation ◽  
Temperature Parameter ◽  
Velocity Of Propagation ◽  
Generalized Thermoelastic ◽  
Two Temperature

Abstract In the present paper, we consider the governing equation for generalized thermoelastic media under the effect of magnetic fleld, rotation, initial stress, and two-temperature parameter for Rayleigh wave in half-space. The secular equation of Rayleigh wave is also deduced using surface wave solution, which also satisfy the radiation condition for thermally insulated/isothermal surface. The velocity and amplitude attenuation factor of Rayleigh wave is also computed for a particular material. The effect of two-temperature, rotation, and initial stress parameters on velocity of propagation and amplitude attenuation factor is shown graphically.

scholarly journals Solution of Lord-Shulmans and dual-phase-lag theories problem on a photothermal rotational semiconductor medium with voids and initial stress

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 59-68
Author(s):  
Hammad Alotaibi
Keyword(s):  
Boundary Conditions ◽  
Initial Stress ◽  
Carrier Density ◽  
Equations Of Motion ◽  
Phase Lag ◽  
Dual Phase ◽  
Stress Components ◽  
Differential Equa ◽  
Generalized Thermoelastic ◽  
Thermoelastic Theory

This paper discusses a photo-thermal rotational semiconductor medium with ini?tial stress, and voids by considering two thermoelastic theories: Lord-Shulman and Dual-Phase-Lag models. The equations of motion, temperature, voids, and photothermal have been investigated under two generalized thermoelastic theory. The technique of normal mode has been applied to solve the differential equa?tions system with appropriate boundary conditions. Quantities of physical interest such as displacement, stress components, concentration, temperature, and carrier density are calculated and displayed graphically to demonstrate the effect of the external parameters. The obtained results, by using the two theories, show that the dual-phase-lag theory gives an origin results comparing with obtained results by Lord-Shulman theory. By neglecting the initial stress and voids, and considering the only dual-phase-lag theory, then the results obtained in this paper are deduced to the results of Abbas et al. [1].

scholarly journals Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

Engineering ◽  
2011 ◽  
Vol 03 (06) ◽  
pp. 622-631 ◽  
Author(s):  
Praveen Ailawalia ◽  
Shilpy Budhiraja
Keyword(s):  
Initial Stress ◽  
Thermoelastic Medium ◽  
Generalized Thermoelastic ◽  
Hydrostatic Initial Stress
Sign in / Sign up

Export Citation Format

Share Document