Propagation of Rayleigh waves in modified couple stress generalized thermoelastic with a three-phase-lag model

2019 ◽  
pp. 1-13 ◽  
Author(s):  
Rajneesh Kumar ◽  
Shaloo Devi ◽  
S. M. Abo-Dahab
Keyword(s):  
Rayleigh Waves ◽  
Couple Stress ◽  
Phase Lag ◽  
Three Phase ◽  
Lag Model ◽  
Modified Couple Stress ◽  
Generalized Thermoelastic

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

A problem of thick circular plate in modified couple stress thermoelastic diffusion with phase-lags

2016 ◽  
Vol 12 (3) ◽  
pp. 478-494
Author(s):  
Rajneesh Kumar ◽  
Shaloo Devi ◽  
Veena Sharma
Keyword(s):  
Temperature Change ◽  
Couple Stress ◽  
Chemical Potential ◽  
Phase Lag ◽  
Dual Phase ◽  
Field Equations ◽  
Thermoelastic Diffusion ◽  
Content Type ◽  
Lag Model ◽  
Modified Couple Stress

Purpose The purpose of this paper is to investigate the two-dimensional axisymmetric problem in a homogeneous, isotropic modified couple stress thermoelastic diffusion (TD) medium in the context of dual-phase-lag model. Design/methodology/approach The Laplace and Hankel transforms have been applied to find the general solution to the field equations. The components of displacement, stresses, temperature change and chemical potential are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. Findings The components of normal stress, tangential stress, tangential couple stress, temperature change and chemical potential are obtained numerically and depicted graphically to see the effect of dual-phase-lag diffusion (DLD), dual-phase-lag heat transfer (DLT) and TD models in the absence and presence of couple stress parameter. Originality/value Comparisons are made in the absence and presence of couple stress DLD, DLT and TD models.

Influence of the rotation on a generalized magneto-thermoelastic medium for three-phase-lag model

2015 ◽  
Vol 11 (2) ◽  
pp. 297-318 ◽  
Author(s):  
Samia M Said
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Thermoelastic Problem ◽  
Phase Lag ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Generalized Thermoelastic

Purpose – The purpose of this paper is to investigate the effect of rotation and a magnetic field on the wave propagation in a generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. Design/methodology/approach – The formulation is applied to a generalized thermoelastic problem based on the three-phase-lag model and Green-Naghdi theory without energy dissipation. The medium is a homogeneous isotropic thermoelastic in the half-space. Findings – The exact expressions of the displacement components, temperature, and stress components are obtained by using normal mode analysis. Originality/value – Comparisons are made with the results predicted by the two models in the absence and presence of a magnetic field as well as a rotation. A comparison also is made with the results predicted by the two models for two different values of an internal heat source.

Response of thermoelastic functionally graded beam due to ramp type heating in modified couple stress with dual-phase-lag model

2017 ◽  
Vol 13 (3) ◽  
pp. 471-488 ◽  
Author(s):  
Rajneesh Kumar ◽  
Shaloo Devi
Keyword(s):  
Couple Stress ◽  
Axial Stress ◽  
Displacement Component ◽  
Functionally Graded ◽  
Phase Lag ◽  
Dual Phase ◽  
Functionally Graded Beam ◽  
Content Type ◽  
Lag Model ◽  
Modified Couple Stress

Purpose The purpose of this paper is to investigate the thermoelastic functionally graded beam in a modified couple stress theory subjected to a dual-phase-lag model. Design/methodology/approach The governing equations are solved by using the Euler-Bernoulli beam assumption and the Laplace transform technique. The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are obtained by ramp type heating in the transformed domain. A general algorithm of the inverse Laplace transform is developed to recover the results in a physical domain. Findings The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are computed numerically and presented graphically to show the effect of ramp time parameter and phase lags of heating. Originality/value Comparisons are made in the absence and presence of coupled dual-phase-lag thermoelastic and coupled thermoelastic L-S theories and also different values of ramp type parameter.

Sign in / Sign up

Export Citation Format

Share Document