Effect of gravity, magnetic field and internal heat source on a fiber-reinforced medium with two temperatures

Said, Samia M.; Othman, Mohamed I. A.

doi:10.1007/s12648-019-01402-0

Cited by 6 publications

(2 citation statements)

References 26 publications

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“…Othman and Atwa [6] discussed a problem of generalized magneto-thermoelasticity in a fibre-reinforced anisotropic half-space with energy dissipation. Several authors have directed their efforts toward the investigation of problems in the fiber-reinforced anisotropic elastic media [7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

The effect of initial stress and rotation on a nonlocal fiber‐reinforced thermoelastic medium with a fractional derivative heat transfer

2021

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In the present paper, the theory of multi-phase-lags with fractional derivative heat transfer thermoelasticity was used to study the wave propagation on a nonlocal fiber-reinforced thermoelastic medium. The exact expressions for the displacement components, temperature, and stress components are obtained by using the Fourier and Laplace transforms. The comparisons are shown graphically to explore the effects of rotation, initial stress and fractional order parameters as well as a nonlocal parameter on different physical quantities. Numerical computations are carried out with the help of Matlab software.

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Section: Introductionmentioning

confidence: 99%

The effect of initial stress and rotation on a nonlocal fiber‐reinforced thermoelastic medium with a fractional derivative heat transfer

2021

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“…According to Boley and Tolins [36], the strain, as well as these two temperatures, is represented by moving waves and instant response generated in the body. The two temperature theory was used by [37,38] to study the interactions between thermoelastic waves using the normal mode method.…”

Section: Introductionmentioning

confidence: 99%

Thermal effects and initial stress on magneto‐thermo‐viscoelastic medium with two temperature under five theories

2021

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The contribution of this study is to research how the initial stress and the application of a magnetic field affects the two-dimensional complication of a general, two temperature, and thermally activated viscoelastic material in five theories.In the physical domain, normal mode analysis is employed to obtain the analytical expressions for the physical quantities. A numerical pathway is chosen to calculate the analytical expressions and their explanation is done using various graphical methods. The results predicted by different theories (L-S, G-L, G-N II, and DPL) are also examined in both the scenarios, that is, existence and nonexistence of a magnetic field, viscosity, initial stress, and two temperatures. 1Nomenclature: 𝛼 0 , 𝛼 1 , 𝛼 2 , 𝛼 3 , 𝛼 4 , the viscoelastic parameters; 𝛼 𝑡 Coefficient of linear thermal expansion, 𝜌 density; 𝐾 Coefficient of thermal conductivity, 𝜏 0 , 𝜏 1 , 𝜐 0 relaxation times; 𝑒 𝑖𝑗 Components of strain tensor, 𝜙 the volume fraction field; 𝜎 𝑖𝑗 Components of stress tensor, 𝑟 the beam radius; 𝜃 Conductive temperature, 𝑎 two temperature parameter; 𝑢, 𝑤 Displacement components, 𝛿 𝑖𝑗 Kronecker's delta; 𝑇 0 Reference temperature |(𝑇 − 𝑇 0 )∕𝑇 0 | < 1, 𝑛 * , 𝑛 0 , 𝑛 1 parameters; 𝜇 0 the magnetic permeability, 𝑝 the initial stress; 𝜏 0 the thermal relaxation time, 𝜀 0 the electric permittivity; 𝑇 Thermodynamic temperature, 𝑐 𝑒 specific heat at constant strain; 𝑒 = 𝑒 𝑘𝑘 Cubic dilatation, 𝜆, 𝜇 Lame' constants

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Thermomechanical interactions in viscoelastic skin tissue under different theories

Ezzat

Alabdulhadi

2022

Indian J Phys

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Effect of gravity, magnetic field and internal heat source on a fiber-reinforced medium with two temperatures

Cited by 6 publications

References 26 publications

The effect of initial stress and rotation on a nonlocal fiber‐reinforced thermoelastic medium with a fractional derivative heat transfer

The effect of initial stress and rotation on a nonlocal fiber‐reinforced thermoelastic medium with a fractional derivative heat transfer

Thermal effects and initial stress on magneto‐thermo‐viscoelastic medium with two temperature under five theories

Thermomechanical interactions in viscoelastic skin tissue under different theories

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