General generalized thermoelasticity theory (GGTT)

Youssef, Hamdy M.; Al-Lehaibi, Eman A. N.

doi:10.1007/s10973-023-12144-x

Cited by 8 publications

(3 citation statements)

References 35 publications

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“…Deswal [9] employed the L-S and G-N generalized thermoelasticity theories to examine the influences of the initial stress and temperature dependence on the propagation of elastic waves in anisotropic thermoelastic media. Youssef [10] proposed a new generalized thermoelasticity model based on the linear non-Fourier heat conduction theorem and applied it to a one-dimensional thermoelastic rod problem for validation.…”

Section: Introductionmentioning

confidence: 99%

The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

Liu,

Shi,

Guo

2024

Symmetry

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In this paper, the thermoelastic behavior of a rod made of an isotropic material under the action of a moving heat source was investigated using a new theory of thermoelasticity related to fractional-order time with two relaxation times. A mathematical model of the one-dimensional thermoelasticity problem was established based on the new thermoelasticity theory. We considered the symmetry of the material, and the fractional-order thermoelasticity control equation was given. Subsequently, the control equations were solved and analyzed using the Laplace transform and its inverse transform. This study examined the effects of fractional-order parameters, time, two thermal relaxation times, and the speed of movement of the heat source on the displacement, temperature, and stress distribution patterns in the rod.

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Section: Introductionmentioning

confidence: 99%

The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

Liu,

Shi,

Guo

2024

Symmetry

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“…Many studies in recent years have investigated the thermoelastic behavior of materials [1][2][3][4][5][6] due to their potential in geological and engineering applications. Nanotechnology is concerned with developing tools for studying the properties of nanomaterials, whereas nanoscience is concerned with moving and manipulating atoms to achieve the properties required in a particular field of life [7,8].…”

Section: Introductionmentioning

confidence: 99%

Fractional Temperature-Dependent BEM for Laser Ultrasonic Thermoelastic Propagation Problems of Smart Nanomaterials

Fahmy

2023

Fractal Fract

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The major goal of this work is to present a novel fractional temperature-dependent boundary element model (BEM) for solving thermoelastic wave propagation problems in smart nanomaterials. The computing performance of the suggested methodology was demonstrated by using stable communication avoiding S-step—generalized minimal residual method (SCAS-GMRES) to solve discretized linear BEM systems. The benefits of SCAS-GMRES are investigated and compared to those of other iterative techniques. The numerical results are graphed to demonstrate the influence of fractional, piezoelectric, and length scale characteristics on total force-stresses. These findings also demonstrate that the BEM methodology is practical, feasible, effective, and has superiority over domain methods. The results of the present paper help to develop the industrial uses of smart nanomaterials.

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“…In recent years, many engineering studies have drawn the attention of researchers to investigate the mechanical behavior of thermoelastic 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 the magnetic field [7], initial stress [8], rotation, and gravity [9] on the generalized thermo-viscoelastic diffusion medium.…”

Section: Introductionmentioning

confidence: 99%

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

Fahmy

Alsulami

Abouelregal

2023

Axioms

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The main goal of this work is to develop a novel boundary element method (BEM) model for analyzing ultrasonic wave propagation in three-temperature anisotropic viscoelastic porous media. Due to the problems of the strong nonlinearity of ultrasonic wave propagation in three-temperature porous media, 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 integral 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 of the proposed methodology are demonstrated by comparing the obtained results to a corresponding solution obtained from the finite difference method (FDM).

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General generalized thermoelasticity theory (GGTT)

Cited by 8 publications

References 35 publications

The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

Fractional Temperature-Dependent BEM for Laser Ultrasonic Thermoelastic Propagation Problems of Smart Nanomaterials

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

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