Effect of Magnetic Field on Generalized Thermo-Viscoelastic Diffusion Medium with Voids

The purpose of this paper is to study the thermoviscoelastic interactions in a homogeneous, isotropic semi-infinite solid under twotemperature theory with heat source. The Kelvin-Voigt model of linear viscoelasticity which describes the viscoelastic nature of the material is used. The bounding plane surface of the medium is subjected to a non-Gaussian laser pulse. The generalized thermoelasticity theory with dual phase lags model is used to solve this problem. Laplace transform technique is used to obtain the general solution for a suitable set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the phase lags, viscosity, temperature discrepancy, laser-pulse and the laser intensity parameters on all the studied fields. A comparison was also made with the results obtained in the case of one temperature thermoelasticity theory.

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“…Othman and Fekry explain the effect of magnetic field on gen-eralized thermo-viscoelastic diffusion medium with voids [23].…”

Section: Introductionmentioning

confidence: 99%

The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory

Othman

Abouelregal

2017

Archives of Thermodynamics

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“…On the basis of Bonnet [36], the governing equations can be written as follows [37] 𝐵 𝐮 (𝐱 ) = 0 for 𝑥 ∈ Ω 𝐮 (𝐱) = 𝑔 for 𝑥 ∈ 𝛤 𝐭 ̂ (𝐱) = 𝑔 for 𝑥 ∈ 𝛤 (7) in which where the operator 𝐵 and the tractions 𝑡 ̂ are defined as…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…According to Fahmy [30], the thermomechanical interactions can be found by treating the soft tissue as a thermoporoelastic medium and implementing BEM for solving the governing equations ( 1) and (7).…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In recent years, many engineering studies have drawn researchers' attention to investigate the mechanical behaviour of viscoelastic porous materials [1][2][3][4][5][6] due to the positive results obtained in applied science, engineering, and technological applications such as biology, biophysics, biomechanics, geotechnical engineering, reservoir geomechanics, mining and petroleum engineering, geothermal engineering, thermal insulation, and lightweight structural design. Some researchers have investigated the effects of magnetic field [7], initial stress [8], rotation and gravity [9] on the generalized thermo-viscoelastic diffusion medium. Also, the effects of initial stress and temperature-dependent on the thermo-microstretch elastic solid have been investigated with dualphase-lag model [10].…”

Section: Introductionmentioning

confidence: 99%

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Three-Temperature Boundary Element Modeling of Ultrasound Wave Propagation in Anisotropic Viscoelastic Porous Media

Fahmy¹,

Alsulami²,

Abouelregal³

2023

Preprint

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The main goal of this work is to develop a novel boundary element method (BEM) model for analyzing ultrasonic wave propaga-tion in three-temperature anisotropic viscoelastic porous media. Because of strong nonlinearity of ultrasonic wave propagation in three-temperature porous media problems, the analytical or numerical solutions to the problems under consideration are always challenging, necessitating the development of new computational techniques. As a result, we use a new BEM model to solve such problems. A time stepping procedure based on the linear multistep method is obtained after solving the discretized boundary in-tegral equation with the quadrature rule. The calculation of a double integral is required to obtain fundamental solutions, but this increases the total BEM computation time. Our proposed BEM technique is used to solve the current problem and improve the formulation efficiency. The numerical results are graphed to demonstrate the effects of viscosity and anisotropy on the nonlinear ultrasonic stress waves in three-temperature porous media. The validity, accuracy, and efficiency in the proposed methodology were demonstrated by comparing obtained results to the corresponding solution obtained from finite difference method (FDM).

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“…Aouadi (2010) developed a generalized theory of thermoelasticity with voids and diffusion. The combined effects of voids and diffusion on plane waves in thermoelastic medium are not studied much (Singh, 2011; Othman and Fekry, 2015; Kumar and Kansal, 2017).…”

Section: Introductionmentioning

confidence: 99%

Effects of rotation, voids and diffusion on characteristics of plane waves in a thermoelastic material

Singh¹,

Singla

2019

MMMS

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Purpose The purpose of this paper is to study the effects of rotation, voids and diffusion on characteristics of plane waves in a thermoelastic material. Design/methodology/approach Lord and Shulman generalization of linear thermoelasticity is used to study the plane waves in a rotating thermoelastic material with voids and diffusion. The thermoelastic solid is rotating with a uniform angular velocity. The problem is specialized in two dimensions to study wave propagation. The plane harmonic solutions of governing field equations in a plane are obtained. Findings A velocity equation is obtained which indicates the propagation of five coupled plane waves in the medium. Reflection of an incident plane wave from stress-free surface of a half-space is also considered to obtain the amplitude ratios of various reflected waves. A numerical example is considered to illustrate graphically the effects of rotation, frequency, void and diffusion parameters on speeds and amplitude ratios of plane waves. Originality/value The present problem covers the combined effects of rotation, voids and diffusion on characteristics of plane waves in linear thermoelastic material in the context of Lord and Shulman (1967) and Aouadi (2010) theories, which are not studied in literature yet.

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Effect of Magnetic Field on Generalized Thermo-Viscoelastic Diffusion Medium with Voids

Cited by 24 publications

References 27 publications

The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory

The effect of pulsed laser radiation on a thermoviscoelastic semi-infinite solid under two-temperature theory

Three-Temperature Boundary Element Modeling of Ultrasound Wave Propagation in Anisotropic Viscoelastic Porous Media

Effects of rotation, voids and diffusion on characteristics of plane waves in a thermoelastic material

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