Reflection of plane waves on generalized thermoelastic medium under effect of temperature dependent properties and initial stress with three-phase-lag model

2020 ◽  
pp. 1-14 ◽  
Author(s):  
S. M. Abo-Dahab ◽  
A. M. Abd-Alla ◽  
Mohamed I. A. Othman
Keyword(s):  
Initial Stress ◽  
Plane Waves ◽  
Effect Of Temperature ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Thermoelastic Medium ◽  
Three Phase ◽  
Lag Model ◽  
Generalized Thermoelastic ◽  
Temperature Dependent Properties

The effect of initial stress on generalized thermoelastic medium with three-phase-lag model under temperature-dependent properties

2014 ◽  
Vol 92 (5) ◽  
pp. 448-457 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
W.M. Hasona ◽  
Ebtesam E.M. Eraki
Keyword(s):  
Initial Stress ◽  
Modulus Of Elasticity ◽  
Thermal Stresses ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties

The present paper attempts to investigate the propagation of plane waves in an isotropic elastic medium under the effect of initial stress and temperature-dependent properties. The modulus of elasticity is taken as a linear function of reference temperature. The formulation is applied under the thermoelasticity theory with three-phase-lag, proposed by Choudhuri (J. Thermal Stresses, 30, 231 (2007)). Normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress, and the strain components. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made with the results predicted by different theories (Lord–Shulman theory, the theory of thermoelasticity type III, and the three-phase-lag model) in the absence and presence of the initial stress as well as the case where the modulus of elasticity is independent of temperature.

Elastodynamic Response of a Three-Phase-Lag Model of Orthorhombic Thermoviscoelastic Material with Reference Temperature Dependent Properties

2020 ◽  
Vol 08 (01n02) ◽  
pp. 2050002
Author(s):  
Leena Rani
Keyword(s):  
Reference Temperature ◽  
Phase Lag ◽  
Physical Domain ◽  
Temperature Dependent ◽  
Eigenvalue Approach ◽  
Coupled Equations ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties ◽  
Thermally Conducting

A three-phase-lag model of a homogeneous thermally conducting orthorhombic thermoviscoelastic material under the effect of the dependence of reference temperature on all elastic and thermal parameters is investigated. The Laplace and Fourier transform and eigenvalue approach techniques are used to solve the resulting nondimensional coupled equations. As an application of the problem, harmonically varying and sinusoidal pulse functions are considered. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made for thermoviscoelastic temperature dependent, thermoviscoelastic and thermoelastic materials, respectively, for different values of time, for temperature gradient boundary.

The effect of temperature-dependent properties on generalized magneto-thermo-elastic medium with two-temperature under three-phase-lag model

2017 ◽  
Vol 13 (1) ◽  
pp. 122-134 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
Yassmin D. Elmaklizi ◽  
Nehal T. Mansoure
Keyword(s):  
Magnetic Field ◽  
Elastic Medium ◽  
Modulus Of Elasticity ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Temperature Dependent Properties ◽  
Two Temperature

Purpose The purpose of this paper is to investigate the propagation of plane waves in an isotropic elastic medium under the effect of rotation, magnetic field and temperature-dependent properties with two‐temperatures. Design/methodology/approach The problem has been solved analytically by using the normal mode analysis. Findings The numerical results are given and presented graphically when mechanical and thermal force are applied. Comparisons are made with the results predicted by the three-phase-lag (3PHL) model and dual-phase-lag model in the presence and absence of cases where the modulus of elasticity is independent of temperature. Originality/value In this work, the authors study the influence of rotation and magnetic field with two‐temperature on thermoelastic isotropic medium when the modulus of elasticity is taken as a linear function of reference temperature in the context of the 3PHL model. The numerical results for the field quantities are obtained and represented graphically.

A fiber-reinforced thermoelastic medium with an internal heat source due to hydrostatic initial stress and gravity for the three-phase-lag model

2017 ◽  
Vol 13 (1) ◽  
pp. 83-99 ◽  
Author(s):  
Samia M. Said
Keyword(s):  
Heat Source ◽  
Initial Stress ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Phase Lag ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Hydrostatic Initial Stress

Purpose The purpose of this paper is to investigate the effect of a hydrostatic initial stress and the gravity field on a fiber-reinforced thermoelastic medium with an internal heat source that is moving with a constant speed. Design/methodology/approach A general model of the equations of the formulation in the context of the three-phase-lag model and Green-Naghdi theory without energy dissipation. Findings The exact expressions for the displacement components, force stresses, and the thermal temperature for the thermal shock problem obtained by using normal mode analysis. Originality/value A comparison made between the results of the two models for different values of a hydrostatic initial stress as well as an internal heat source. Comparisons also made with the results of the two models in the absence and presence of the gravity field as well as the reinforcement.

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