The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green–Naghdi theory

Othman, Mohamed I. A.; Atwa, Sarhan Y.; Farouk, R. M.

doi:10.1016/j.icheatmasstransfer.2009.04.014

Cited by 71 publications

(25 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Othman et al [14] studied the effect of rotation of magnetothermoviscoelastic waves under thermoviscoelasticity without energy dissipation. Othman et al [15] studied the effect of diffusion on the two-dimensional problem of generalized thermoelasticity using the Green-Naghdi theory.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

Othman

Atwa

2013

Comput Math Model

View full text Add to dashboard Cite

The propagation of plane waves in fibre-reinforced, anisotropic, elastic media is discussed. The theory of generalized thermoelasticity proposed by Green and Naghdi is used to solve the problem. Normal mode analysis is used to obtain analytical expressions of the displacement components, stresses, and temperature distribution. Numerical results for the temperature distribution, displacement components, and thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the Green-Naghdi theory, types II and III, in the presence and absence of fibre-reinforced media.

show abstract

Section: Introductionmentioning

confidence: 99%

Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

Othman

Atwa

2013

Comput Math Model

View full text Add to dashboard Cite

show abstract

“…Ezzat and Awad [35] adopted the normal mode analysis technique to obtain the temperature gradient, displacement, stress, couple stresses, microrotation, electric field, magnetic field, and current density in micropolar generalized magnetothermoelasticity by using modified Ohm's and Fourier's law. Othman et al [36] studied the effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green-Naghdi theory and obtained the expressions for displacement components, stresses, temperature fields, concentration, and chemical potential by using normal mode analysis. Othman et al [37] used normal mode technique to obtain the expressions for displacement components, force stresses, temperature, couple stresses, and microstress distribution in a thermomicrostretch elastic medium with temperature dependent properties for different theories.…”

Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

Kumar

Sharma²,

Garg

2014

Advances in Acoustics and Vibration

View full text Add to dashboard Cite

The reflection of plane waves at the free surface of thermally conducting micropolar elastic medium with two temperatures is studied. The theory of thermoelasticity with and without energy dissipation is used to investigate the problem. The expressions for amplitudes ratios of reflected waves at different angles of incident wave are obtained. Dissipation of energy and two-temperature effects on these amplitude ratios with angle of incidence are depicted graphically. Some special and particular cases are also deduced.

show abstract

“…Othman and Song [24] investigated the reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation. Othman et al [25] studied the effect of rotation of magneto-thermoviscoelastic waves under thermoviscoelasticity without energy dissipation. Othman et al [26] studied the effect of diffusion on the two-dimensional problem of generalized thermoelasticity with the GN theory.…”

Section: Introductionmentioning

confidence: 99%

Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space with Energy Dissipation

Othman

Atwa

2012

Int J Thermophys

Self Cite

View full text Add to dashboard Cite

The propagation of plane waves in a fiber-reinforced, anisotropic thermoelastic half-space proposed by Green and Naghdi theory under the effect of magnetic field is discussed. The problem has been solved analytically using normal mode analysis to obtain the exact solution of the temperature, the displacement components, and the thermal stress. Numerical results for the temperature distribution, the displacement components, and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by types II and III in the presence and in the absence of the effect of a magnetic field and fiber reinforcement. It is found that the reinforcement and magnetic field have great effects on the distribution of the field quantities.

show abstract

The effect of diffusion on two-dimensional problem of generalized thermoelasticity with Green–Naghdi theory

Cited by 71 publications

References 14 publications

Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

Two-dimensional problem of a fibre-reinforced anisotropic thermoelastic medium. Comparison with the Green–Naghdi theory

Effect of Two Temperatures on Reflection Coefficient in Micropolar Thermoelastic with and without Energy Dissipation Media

Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space with Energy Dissipation

Contact Info

Product

Resources

About