Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model

Abouelregal, Ahmed E.; Alesemi, Meshari

doi:10.1016/j.csite.2022.102187

Cited by 20 publications

(2 citation statements)

References 47 publications

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“…Quintanilla 44 , 45 formulated the hypothesis above with the aim of offering a more all-encompassing depiction of the transitory thermal and mechanical phenomena seen in materials when exposed to abrupt alterations in temperature. In recent years, the number of studies focusing on developing the theory of thermoelasticity (MGT) has witnessed significant growth 46 – 50 . Later studies have changed the extended thermoelastic theory into fractional ones by adding different time-fractional derivatives to hyperbolic heat transfer and mass diffusion equations 51 , 52 .…”

Section: Introductionmentioning

confidence: 99%

Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative

Abouelregal,

Marin,

Foul

et al. 2024

Sci Rep

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Accurately characterizing the thermomechanical parameters of nanoscale systems is essential for understanding their performance and building innovative nanoscale technologies due to their distinct behaviours. Fractional thermal transport models are commonly utilized to correctly depict the heat transfer that occurs in these nanoscale systems. The current study presents a novel mathematical thermoelastic model that incorporates a new fractional differential constitutive equation for heat conduction. This heat equation is useful for understanding the effects of thermal memory. An application of a fractional-time Atangana–Baleanu (AB) derivative with a local and non-singular kernel was utilized in the process of developing the mathematical model that was suggested. To deal with effects that depend on size, nonlocal constitutive relations are introduced. Furthermore, in order to take into consideration, the viscoelastic behaviour of the material at the nanoscale, the fractional Kelvin–Voigt model is utilized. The proposed model is highly effective in properly depicting the unusual thermal conductivity phenomena often found in nanoscale devices. The study also considered the mechanical deformation, temperature variations, and viscoelastic characteristics of the functionally graded (FG) nanostructured beams. The consideration was made that the material characteristics exhibit heterogeneity and continuous variation across the thickness of the beam as the nanobeam transitions from a ceramic composition in the lower region to a metallic composition in the upper region. The complicated thermomechanical features of simply supported viscoelastic nanobeams that were exposed to harmonic heat flow were determined by the application of the model that was constructed. Heterogeneity, nonlocality, and fractional operators are some of the important variables that contribute to its success, and this article provides a full study and illustration of the significance of these characteristics. The results that were obtained have the potential to play a significant role in pushing forward the design and development of tools, materials, and nanostructures that have viscoelastic mechanical characteristics and graded functions.

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Section: Introductionmentioning

confidence: 99%

Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative

Abouelregal,

Marin,

Foul

et al. 2024

Sci Rep

Self Cite

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“…According to the theory of generalized thermoelasticity [48][49][50] and the memory-dependent derivative, Abouelregal et al studied the thermomechanical behaviors of a functionally graded piezoelectric rod [51] and an infinite medium [52]. Using the Moore-Gibson-Thompson equation, Abouelregal and Alesemi [53] analyzed the thermo-viscoelastic behavior of a fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties.…”

Section: Introductionmentioning

confidence: 99%

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Zhang,

Sun,

Xiang

et al. 2023

Buildings

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Approximate analytical solutions are presented for the transient thermoelastic problem of rectangular plates with time-dependent convection and radiation boundaries. To include the nonlinear radiation boundary, the whole heating process is divided into several time steps, and a linearized approximation is used to simplify the radiation term for each step. The one-dimensional transient temperature along the thickness direction is solved using the technique of the separation of variables. The displacement and stress solutions are obtained by applying the state-space method to the three-dimensional thermoelasticity equations. The accuracy of the present solutions is demonstrated by comparison with the reported results in the open literature and the finite element solutions. In the numerical examples, two kinds of thermal boundaries, namely, time-independent convection boundaries and time-dependent convection and radiation boundaries, are considered to show the availability of the present solutions.

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Orthotropic rotational semiconductor material with piezo‐photothermal plasma waves with moisture plasma diffusion and laser pulse

Adel,

Lotfy,

Yadav

et al. 2024

Z Angew Math Mech

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The objective of this study is to investigate the effects of rotation field on a semiconductor material with general photo‐piezo‐thermo‐elastic characteristics. The primary goal is to analyze how the semiconductor behaves under and laser pulse effect. The research assumes that the piezo‐semiconductor medium being studied is uniform and has consistent orthotropic properties when it is subjected to photo‐thermal excitation according to moisture plasma diffusion processes. The piezoelectric phenomenon's impact can be determined by employing Gauss's law of electrostatics. Several important variables, including temperature distribution field, carrier density from both types of moisture, electric potential displacement, and stress components, have been precisely calculated using the normal mode approach. The study uses graphical representation to show how the physical field distribution changes with different times, rotation parameters, and thermal conductivity. The findings indicate that various factors, including time, thermal coupling parameter, and rotation field, have a significant impact on the amplitude of the distribution profile, and align with the observed physical outcomes. These factors must be taken into consideration when analyzing and designing piezo‐semiconductors.

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Evaluation of the thermal and mechanical waves in anisotropic fiber-reinforced magnetic viscoelastic solid with temperature-dependent properties using the MGT thermoelastic model

Cited by 20 publications

References 47 publications

Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative

Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

Orthotropic rotational semiconductor material with piezo‐photothermal plasma waves with moisture plasma diffusion and laser pulse

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