The Effect of Initial Stress on Thermoelastic Rotating Medium with Voids Due to Laser Pulse Heating with Energy Dissipation

Othman, Mohamed I. A.; Zidan, Magda E. M.; Hilal, Mohamed I. M.

doi:10.1080/01495739.2015.1040316

Cited by 27 publications

(8 citation statements)

References 22 publications

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“…For hyperbolic thermoelasticity, a thermomechanical load applied to a body is transmitted in a wavelike manner throughout the body. More interesting thermoelastic problems have been discussed using the Green-Naghdi model [11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Hilal

2021

Z Angew Math Mech

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Rotation of a linear and homogenous microelongated thermoelastic medium with a uniform angular velocity are discussed in the present paper. The studied problem was considered as a perfecting conducting medium which irradiated by a non-gaussian laser beam. The nonlocal thermoelasticity theory was motivated to discuss the model with the energy dissipation in Green-Naghdi type III. Fourier and Laplace transforms are used to obtain the solution of the problem and get the considered physical quantities. The comparisons were computed numerically and represented graphically with different cases. The obtained results are applicable in many fields as earthquake engineering, nuclear physics, and manufacturing. It is found that the obtained results are significant.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Hilal

2021

Z Angew Math Mech

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“…Mahmoud (2012) investigated the influences of rotation, magnetic field, initial stress and gravity field on the propagation of Rayleigh waves in a granular medium under incremental thermal stresses. By adopting the normal mode technique, Othman et al (2015) scrutinized the effects of Wave propagation rotation and time on an initially stressed thermoelastic medium with voids. Recently, Deswal et al (2020) used normal mode technique to solve a two-dimensional half-space problem in an initially stressed, rotating thermoelastic medium with micro-temperatures.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Sheoran

Kumar

et al. 2020

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Purpose The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature. Design/methodology/approach A two-dimensional model of generalized thermoelasticity is considered. The governing equations are transformed into the non-dimensional forms using the dimensionless variables. Then, potential functions are introduced for the decoupling of the waves. Further, appropriate boundary conditions are assumed to completely solve the problem. Finally, numerical computations are performed using MATLAB. Findings The problem is solved analytically and it is found that there exist five coupled waves in addition to an independent micro-concentration wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have also been computed numerically for a specific material. Originality/value The modulus values of amplitude ratios are presented graphically to exhibit the effects of angular velocity, initial stress, two-temperature, diffusion and micro-concentration parameters. The expressions of energy ratios obtained in explicit form are also depicted graphically as functions of angle of incidence. The law of conservation of energy at the free surface during reflection phenomenon is also verified.

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“…This investigation deals with the more realistic elastic model as the earth, the moon and the other heavenly planets which have angular velocity. Othman et al [32][33][34] studied the effect of rotation in thermoelastic materials with voids and different mechanical and thermal loadings. The present paper studies the effect of rotation and thermodiffusion in thermoelastic microstretch medium with microtemperatures.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of rotation and thermodiffusion of thermoelastic microstretch medium with microtemperatures

Hilal

2019

J Braz. Soc. Mech. Sci. Eng.

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In this research, the author studies the effect of rotation and thermodiffusion in an isotropic and homogeneous thermoelastic microstretch medium with microtemperatures. The solution of the problem is introduced analytically to obtain physical quantities of the studied medium. The obtained quantities were computed numerically and represented graphically with variant cases. This study presents more useful results in geomechanics and solid-state physics as well as earthquakes engineering. It is important to study the chemical concentration during thermoelastic materials with thermal diffusion due to its industrial applications.

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The Effect of Initial Stress on Thermoelastic Rotating Medium with Voids Due to Laser Pulse Heating with Energy Dissipation

Cited by 27 publications

References 22 publications

Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory

Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations

Analytical solution of rotation and thermodiffusion of thermoelastic microstretch medium with microtemperatures

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