Effect of rotation on plane waves in generalized thermo-microstretch elastic solid with a relaxation time

Lotfy, Kh.; Othman, Mohamed I. A.

doi:10.1007/s11012-011-9529-7

Cited by 15 publications

(3 citation statements)

References 32 publications

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“…Othman and Lotfy [22] studied the generalized thermo-microstretch elastic medium with temperature dependent properties for different theories. Othman and Lotfy [23] studied the effect of magnetic field and inclined load in micropolar thermoelastic medium possessing cubic symmetry under three theories. The normal mode analysis was used to obtain the exact expression for the temperature distribution, thermal stresses, and the displacement components.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer and the influence of electromagnetic field and thermal time during temperature distribution in human tissue

Lotfy¹,

El-Bary²

2021

J., eng., them. sci.

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The Penne's bio-heat transfer equation can be used with normal mode technique to describe the characterizing of the temperature fluctuation in muscles. The analytical solutions of heating pattern is obtained in a closed-form when the propagation of ultrasonic waves in tissue system are taken into consideration. The impact of external electromagnetic field is used to investigate the influence of temporal and spatial distributions of temperature. The numerical simulations during the 2D and 3D graphs can be obtained for human tissue in simplified geometry in the context of the derived method. The normal mode analysis is used as a mathematical technique to solve the bioheat transfer equation analytically with some conditions to get the complete solution of the main variables in this model.

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Section: Introductionmentioning

confidence: 99%

Heat transfer and the influence of electromagnetic field and thermal time during temperature distribution in human tissue

Lotfy¹,

El-Bary²

2021

J., eng., them. sci.

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“…Lord and Shulman [15] proposed a generalized thermodynamic theory (L-S theory) which introduces a relaxation time between the thermal flux and the temperature gradient, and consequently the hyperbolic equation of heat transport is derived. Abbas and Othman [16] and Lotfy and Othman [17] studied the propagation of thermoelastic waves in a solid half-space based on L-S theory. Different from the L-S theory, the generalized thermoelasticity proposed by Green and Lindsay [18] (G-L theory) possesses two relaxation times.…”

Section: Introductionmentioning

confidence: 99%

Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound

Wei

Wang

2017

Mathematics and Mechanics of Solids

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The reflection and transmission of thermoelastic waves across an interface between two different couple stress solids are studied based on the thermoelastic Green–Naghdi theory with consideration of second sound. First, some thermodynamic equations of a couple stress elastic solid are formulated and the function of free energy density is postulated. Second, equations of thermal motion and heat conduction of the couple stress elasticity are derived and constitutive relations with thermoelastic coupled effects are obtained. From these equations, four kinds of dispersive waves, namely, thermal-mechanically coupled MT1 wave and MT2 wave, uncoupled SV wave, and an evanescent wave that becomes the surface waves at interface, are derived. Then, the interfacial conditions of couple stress elastic solids with consideration of force stress, couple stress, and thermal effects are used to determine the amplitude ratios of the reflection and transmission waves with respect to the incident wave. The numerical results are validated by consideration of energy conservation.

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“…Othman and Lotfy (2010) used a general model of the equations of generalized thermo-microstretch theories of Lord-Shulman (L-S), Green-Lindsay and classical dynamical coupled theory (C-D) for a homogenous isotropic elastic half space and compared results in the presence and absence of microstretch effect. Lotfy and Othman (2012) studied the effect of rotation of generalized thermomicrostretch elastic half space whose surface was subjected to Mode-I crack problem and compared the results for L-S and CD theories. Abbas and Othman (2012) used the finite element method to study the propagation of plane waves in a thermo-microstretch elastic solid half-space for the L-S and C-D model of field equations.…”

Section: Introductionmentioning

confidence: 99%

Response Due To Impulsive Force In Generalized Thermomicrostretch Elastic Solid

Kumar¹,

Singh²

2015

International Journal of Applied Mechanics and Engineering

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A two dimensional Cartesian model of a generalized thermo-microstretch elastic solid subjected to impulsive force has been studied. The eigen value approach is employed after applying the Laplace and Fourier transforms on the field equations for L-S and G-L model of the plain strain problem. The integral transforms have been inverted into physical domain numerically and components of normal displacement, normal force stress, couple stress and microstress have been illustrated graphically.

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Effect of rotation on plane waves in generalized thermo-microstretch elastic solid with a relaxation time

Cited by 15 publications

References 32 publications

Heat transfer and the influence of electromagnetic field and thermal time during temperature distribution in human tissue

Heat transfer and the influence of electromagnetic field and thermal time during temperature distribution in human tissue

Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound

Response Due To Impulsive Force In Generalized Thermomicrostretch Elastic Solid

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