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Semiconductor materials, which are the aim of this study, are among the most recent advanced materials in the infrared and microwave domains. The reason for focusing on semiconducting elastic materials stems from their abundance in nature and also their numerous benefits in mechanical engineering and cotemporary physics. This work intends to provid...
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In this work, we extend the modification of the generalized theories of thermoelasticity and photothermal. In this context, a new model has been derived based on the Moore-Gibson-Thompson (MGT) equation and combining the two models of thermoelasticity with one relaxation time (Lord-Shulman) and the theory of Green-Naghdi of the third type (GN-III)....
Citations
... Kaur and Singh [16,17] discussed the MDD in nano-beams. Some other researchers also worked on similar research on MDD or semiconductor medium as, Nasr et al. [18], Abouelregal et al. [19], Abouelregal et al. [20]. ...
The present investigation has focus on the variations in a transversely isotropic thick circular plate subjected to ring loading. The modified Green Nagdhi (GN) heat conduction equation with and without energy dissipation by introducing memory-dependent derivatives (MDD) with two temperatures has been used to model the problem. General solutions to the field equations have been found using the Hankel and Laplace transform. The analytical expressions of stress, conductive temperature, and components of displacement are obtained in the transformed domain. Physical solutions have been obtained using numerical inversion techniques. The effects of Kernel functions of memory-dependent derivatives have been depicted graphically. The present investigation also reveals some specific cases.
... Electron excitations at the surface of semiconducting material symmetry can recombine with the roughness of the potential relief, which generates additional heat. The PA impact in semiconductors is also crucial to study because of the nonthermal sound sources that might result from nonequilibrium charge carrier interplay with the lattice [7]. ...
The term “optical thermoelasticity” is used to describe how the optical properties of a material change when it is heated or deformed mechanically. The issues of effective elastic and heat transfer symmetry are given particular focus. This study gives a new nonlocal theoretical formulation for a thermo-optical elastic material that can be used to describe how thermomechanical waves and plasma waves relate to the symmetry of semiconductor materials such as silicon or germanium. The suggested model includes the idea of nonlocal elasticity and a modified Moore–Gibson–Thompson (MGT) heat conduction equation with nonsingular fractional derivative operators. The heat transfer equation has been converted and generalized into a nonsingular fractional form based on the concepts of Atangana and Baleanu (AB) using the Mittag–Leffler kernel. The developed model is used to examine the effect of thermal loading by ramp-type heating on a free plane of unbounded semiconductor material symmetries. Using the Laplace transform approach, we may analytically obtain linear solutions for the investigated thermo-photo-elastic fields, such as temperature. The Discussion section includes a set of graphs that were generated using Mathematica to evaluate the impact of the essential parameters.
... Abouelregal et al. [37,[44][45][46][47] established the proposed revised heat equation after incorporating the relaxation coefficient into the GN-III framework and using the energy equation. Many papers have been written on this hypothesis A. E. Abouelregal et al. since the concept of the MGT equation and other types of thermoelasticity [48][49][50][51][52][53][54][55]. When examined at different temperatures, the semiconductor materials' mechanical, electrical, and thermal properties will all show characteristic transitions. ...
Optical and photo-thermal effects have emerged in many fields, including thermal characterization, spectroscopy, transportation, and non-destructive examinations. In this study, the Moore-Gibson-Thompson (MGT) thermoelastic model is used to explore the photo-thermal coupling of an isotropic, homogeneous, semiconducting and thermomagnetic solid. The heat conduction law is modified to include the time derivative of fractional order and theoretically formulate the system of governing equations. Using the extended Mittag-Leffler functions as nonsingular kernels, the Atangana and Baleanu derivatives considers the features of fractional derivatives. As measured by an external reference frame, it is taken into account that the medium rotates with a constant angular velocity about the axis of symmetry. The cavity boundaries undergo thermal shock and time-varying heat flux. It has been shown that the Laplace transform method is a powerful technique for solving such problems that link the plasma and heat transfer with phase delays. It is finally aimed to describe the numerical results for changes in carrier density as a function of time and radial distance, temperature increment, strain, thermal stresses, and displacement using a photo-induced carrier with different values of physical relaxation time and fractional operator.
... There has been a proliferation of research on this topic ever since the MGT model came into existence [16][17][18][19][20][21]. In recent years, there has been a significant application of the literature study of thermomechanical and structural interactions across several systems [22][23][24][25][26][27]. ...
... The following are the constitutive, strain-displacement, and motion equations for a homogeneous transversely isotropic material [24][25][26]: ...
On the basis of the analysis of thermoelastic motion, the current research develops a novel model of modified thermoelasticity. The rotating long hollow cylinders with fixed surfaces are considered in a generalized Moore–Gibson–Thompson thermoelastic model (MGTTE) framework, including the modified Ohm’s law. The cylinders are made of a thermoelastic material that rotates at a uniform rotational speed and is elastic in the transverse direction. The set of equations for the MGT heat conduction in the new model is built under the influence of the electromagnetic field by including a delay time in the context of Green–Naghdi of the third kind (GN-III). The inner boundary of the hollow cylinder is not only restricted but also sensitive to heat loading. The outer surface, on the other hand, is also restricted but insulates the heat. The Laplace transform method is utilized to deal with the differential equations produced in the new domain and transfer the problem to the space domain. The Dubner and Abate method is used to compute dynamically and graphically depict the theoretical findings for an isotropic transverse material. After comparing the results of several thermoelastic theories, the implications for the electromagnetic field are discussed.
... Since the advent of the Moore-Gibson-Thompson equation, many studies on this concept have been performed [17][18][19][20]. In recent years, the analysis of thermomechanical and structural interactions among many frameworks has been effectively used [21][22][23][24][25][26]. ...
... Compared with previous generalized models of thermoelasticity, the results of GN-IIII show convergence with the classical elasticity model (CTE) results, which do not fade quickly under the influence of heat inside the medium. This matches perfectly with the information provided by Quintanilla [25], which is why the new model is proposed in this article. ...
The main objective of this work is to study the homogeneous thermoelastic interactions in an isotropic hollow thin cylinder immersed in an electric–magnetic field using the linear Moore–Gibson–Thompson theory of thermoelasticity, taking into account the generalized Ohm’s law. The MGT system of thermoelastic equations for the new model is created by incorporating a relaxation period in the Green–Naghdi type III framework. In addition, the Maxwell equations that investigate the effect of the electromagnetic field are presented. While the outer surface of the hollow cylinder is thermally insulated and free of traction, the interior surface is both free of traction and subject to thermal shock. To convert the problem to the space domain only, the Laplace transform methodology is used to solve the governing equations generated in the transformed domain. The theoretical results are computed dynamically and are graphically displayed for a transversely isotropic material using the Honig and Hirdes approach. A comparison of findings based on different (classical and generalized) thermoelastic theories is provided, followed by a discussion on the impact of the applied electromagnetic field.
... A third-order differential equation was used to build this concept, which is relevant in many fluid dynamics difficulties [21]. Since its start, papers devoted to the Moore-Gibson-Thomson theory have risen dramatically [22][23][24][25][26][27][28][29][30][31]. ...
Long hollow cylinders are commonly utilized in various technological applications, including liquid and gas transmission. As a result, its value is growing, becoming increasingly important to many research efforts. Compared with thermal isotropic homogeneous cylinders, thermo-viscoelastic orthotropic cylinders have less relevant data. In this paper, a thermoelastic fractional heat conduction model was developed based on the Moore-Gibson-Thompson equation to examine the axial symmetry problem of a viscoelastic orthotropic hollow cylinder. Atangana and Baleanu derivative operators with nonsingular and nonlocal kernels were used in constructing the fractional model. The thermal properties of the cylinder materials are assumed to be temperature-dependent. The Laplace transform is applied to solve the system of governing equations. The numerical calculations for temperature, displacement, and stress components are performed by the effect of fractional order, rotation, and changing thermal properties of the cylinder. The results showed that due to the presence of fractional derivatives, some properties of the physical fields of the medium change according to the value of the fractional order.
The main objective of this work is to introduce a new thermal conductivity model that can be utilized to solve the infinite thermal diffusion problem in the Green and Naghdi type III model. This proposed model incorporates two key concepts: the fourth-order Moore–Gibson–Thompson (MGT) concept and thermal relaxation. By incorporating higher-order terms, the fourth-order MGT model provides a more accurate representation of the thermal behavior of the material. The thermal behavior of a functionally graded (FG) infinite medium containing a spherical gap is then studied using this model. A rectified sine wave heating system is applied to the traction-free gap surface. Power functions are utilized to model the uniform radial variation of the physical properties of the FG medium. The physical variables under investigation were meticulously examined, considering the impacts of heterogeneity, relaxation duration, and thermal frequency. These variables were estimated numerically using a suitable technique for Laplace transformations. Through this work, the expected outcomes may be able to make a significant contribution to the field of thermoelastic analysis in advanced and FG materials, as well as to engineering applications.
Medical scientists frequently employ the Pennes bioheat equation as a computational tool to comprehend the intricate dynamics of thermal energy dispersion within living tissues. This equation, endowed with pronounced utility, finds paramount significance in the realm of therapeutic interventions, notably hyperthermia, wherein regulated elevation of tissue temperatures is administered for multifarious medical objectives. The utilization of this technology significantly enhances the optimization of treatment protocols and the preservation of temperature levels within crucial anatomical regions of the human body. To ensure the effectiveness of therapies and to uphold the utmost welfare of patients, meticulous monitoring of the thermal response of tissues subjected to thermal stimuli becomes imperative. This study introduces a mathematical formulation of the Pennes equation, specifically tailored for capturing the biothermal conduction phenomena transpiring in the intricate structure of skin tissue by employing the Moore–Gibson–Thompson (MGT) equation. This model enables accurate predictions of the thermal response of human skin to temperature variations. The key differentiating factor of this model is the incorporation of the concept of time delay. This inclusion serves the purpose of minimizing the rapid propagation of thermal energy within biological tissues, ultimately restricting its diffusion at limited rates. The proposed model is employed to characterize the intricacies of heat transfer in a slender, constrained stratum of skin tissue that is subject to a harmonic thermal stimulus. The computational outcomes are presented with the aid of illustrative figures, effectively highlighting the impact of model parameters on the temperature and deformation distributions within the material.
The coupled photo-thermoelastic analysis in semiconductor resonator with nonlocal Memory dependent derivative (MDD) theory is presented. One end of the beam is excited by an abruptly increasing temperature and transient behavior for three cases of plasma field such as unit step, nonGaussian, and sinusoidal time-based plasma shock loading. The mathematical formulation is done using Rayleigh beam theory combined with Eringen’s nonlocal theory (ENT). The Laplace transform
method is employed for obtaining the solution in the transformed domain. An Inverse Laplace technique is utilized for obtaining the dynamic and transient behaviors of field variables in the time domain. With the help of MATLAB programming, the results have been numerically analyzed for silicon material. The lateral deflection, temperature change, and plasma density has been represented graphically to analyse the effect of nonlocal small scale parameter and different types of kernel function of MDD.
