Article
Mechanics
S. M. Abo-Dahab, Nahed S. Hussein, A. M. Abd-Alla, H. A. Alshehri
Summary: This article investigates the generalized magneto-thermoelasticity in an orthotropic non-homogeneous continuum solid with a spherical cavity. The solution for displacement, stress components, and temperature has been obtained using an integral transform technique. Comparisons have been made to verify the accuracy of the model, and the effects of inhomogeneity, relaxation time, and magnetic field on temperature, stresses, and displacement are analyzed and presented through graphs.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
S. M. Abo-Dahab
Summary: The main focus of this paper is to estimate the effects of magnetic field and initial stress on reflection wave phenomena in a semiconductor photothermal diffusion medium using Classical and dual-phase-lag theories. The problem is formulated by considering a generalized model for plasma and thermoelastic waves, and applying Maxwell's equations under specified conditions. The results, obtained through analytical functions and graphical representations, provide insight into the influence of various parameters on the reflection coefficient ratios, and are compared with existing theories and results. This study extends the understanding of photothermal semiconductors and can be reduced to specific cases by neglecting certain parameters.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
A. E. Abouelregal, W. W. Mohammed, Hamid Mohammad-Sedighi
Summary: This article investigates the thermal and mechanical vibration properties of functionally graded microbeams, incorporating the generalized dual-phase lag model of thermoelasticity. The effects of material gradients on the dynamic behavior of microscopic structures are considerable. Comparisons with benchmark findings and existing literature are conducted to verify the results.
ARCHIVE OF APPLIED MECHANICS
(2021)
Article
Mathematics, Applied
Hany H. Sherief, Nasser M. El-Maghraby, Mohamed F. Zaky
Summary: The problem involves studying a 2D thermoelastic cylindrical cavity in an infinite body under the influence of a nonsolenoidal body force. Generalized Thermoelasticity theory is applied, with the assumption of a traction-free surface and an asymmetrical thermal shock. The inversion process is carried out numerically, and all relevant functions are graphically represented.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Physics, Multidisciplinary
Hossein Dehbani, Mohsen Jabbari, Ahmad Reza Khorshidvand, Mehrdad Javadi
Summary: This paper investigates micropolar magneto-thermoelasticity of a hollow cylinder made of composites using complex analytical and numerical methods. The results show that the values of micropolar magnet theory fall between classical theory and micropolar theory, demonstrating the impact of different material properties and boundary conditions on stress and displacement distributions.
Article
Chemistry, Physical
Kh. Lotfy, E. S. Elidy, Ramdan S. Tantawi
Summary: A novel technique was used to study magnetic field influence on the free surface of an elastic semiconductor medium, with a focus on one-dimensional deformation. The study was formulated using hyperbolic two-temperature theory to investigate the coupling between plasma and thermo-elastic waves. Numerical methods were used to obtain solutions for physical quantities and discuss the effects of applied force on various parameters.
Article
Mathematics, Interdisciplinary Applications
Evgenii S. Baranovskii, Mikhail A. Artemov
Summary: We study the generalized unsteady Navier-Stokes equations with a memory integral term and prove the existence and uniqueness of a small-data strong solution. We propose a new approach based on operator treatment and the local unique solvability theorem of an operator equation involving isomorphism between Banach spaces with continuously Frechet differentiable perturbations.
FRACTAL AND FRACTIONAL
(2022)
Article
Thermodynamics
Hany H. Sherief, Farid A. Hamza, Abd Ellatief M. Abd Ellatief
Summary: In this study, the 3D problems of generalized theory of thermoelasticity in spherical regions were investigated and the closed form solutions for temperature, displacement components, and stress tensor components were obtained using Laplace transform. This work is the first attempt to solve the full system of equations of generalized thermoelasticity in spherical regions without neglecting any governing equations.
JOURNAL OF THERMAL STRESSES
(2022)
Article
Materials Science, Multidisciplinary
Anand Kumar Yadav
Summary: The present study analyzes the reflection problem in a magnetized rotating triclinic solid half-space in the presence of a temperature field using fractional-order derivative generalized thermo-elasticity. The governing equations are formulated and solved to obtain the velocity equation, revealing the existence of three quasi plane waves. The study investigates the reflection phenomenon for the incidence of a coupled quasi plane wave for a thermally insulated surface, and the effects of various parameters are shown graphically.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
A. Bera, S. Dutta, J. C. Misra, G. C. Shit
Summary: This paper develops a mathematical model to investigate the effects of dual-phase lag on tumor tissue heating protocol. Experimental results show that the phase lag caused by heat flux is more effective.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mechanics
Fatimah Alshaikh
Summary: This work investigates the wave propagation in generalized thermo-piezoelectric anisotropic smart material under the influence of a primary magnetic field and rotation. The equations for this phenomenon are derived for three different models, namely, Lord-Shulman, Green-Lindsay, and dual-phase-lag. The normal mode technique is then applied to obtain the exact analytical solutions of the resulting ordinary differential equations. Numerical calculations are performed to determine the distributions of various variables, such as displacements, temperature, stress components, electric potential, and electric displacement. The graphical results demonstrate the significant effects of rotation, primary magnetic field, and thermal relaxation times on these physical quantities.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Kadry Zakaria, Magdy A. Sirwah, Ahmed E. Abouelregal, Ali F. Rashid
Summary: The study investigates the photothermal interactions in semiconductor microbeams using a mathematical model based on the generalized photothermal theory. Results show that the model accurately predicts the thermal, elastic, and photovoltaic effects in microbeam resonators.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2021)
Article
Construction & Building Technology
Zhong Zhang, Ding Zhou, Jiandong Zhang, Hai Fang, Huixuan Han
Summary: An analytical model is developed to analyze transient temperature, displacements, and stresses in simply supported layered beams. The Laplace transform approach is used to obtain the transient temperature field in the beam, while the transfer matrix method is applied to obtain the displacement and stress solutions. The effects of temperature-dependent thermoelastic constants on the mechanical behavior of the beam are discussed in detail.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Mathematics
Abdulkafi M. Saeed, Khaled Lotfy, Marwa H. Ahmed
Summary: This study investigated a theoretical novel model that describes the dynamic effects of the microelongation processes of semiconductor medium and considers the influence of magnetic field. By numerical simulation and theoretical derivations, the impact of various factors on wave propagations was discussed.
Article
Thermodynamics
Haitao Zhu, Lichen Tang, Chang Liu
Summary: This work considers the problem of a 1D semi-infinite piezoelectric rod in the context of fractional generalized thermoelasticity. The physical quantities are obtained analytically using the eigenvalue approach with the Laplace transform, and the distribution of displacement, temperature, and stress is obtained through numerical inverse Laplace transform. Numerical results demonstrate the significant effect of the fractional order parameter on all physical quantities, indicating the importance of considering fractional order thermoelasticity in dealing with thermoelastic problems of piezoelectric materials.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Mechanics
F. S. Bayones, A. A. Kilany, Ahmed E. Abouelregal, S. M. Abo-Dahab
Summary: In this article, a new model is investigated to study its effects on an isotropic homogeneous semiconducting generalized thermoelasticity solid. The model takes into account various factors such as volume fraction, photothermal, initial stress, electromagnetic field, gravity, and rotation. The governing equations are solved using the normal mode analysis method, and the results show that photothermal, rotation, electromagnetic field, and other factors play significant roles in the phenomenon.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Husam E. Dargail
Summary: This study introduces a new mathematical model for functionally graded thermoelastic nanobeams (FGNB) with a free choice of kernel function and time delay. By utilizing Hamilton's principle, Euler-Bernoulli's assumptions, Eringen's theory, and three-phase-lag memory dependent heat conduction, the basic equations governing the proposed model have been derived. The FGNB shows variations in moment distribution, temperature, displacement, and deflection due to a heat flux dependent on time. The model is solved analytically using Laplace integral transform, and the impacts of different kernel functions, time delays, nonlocal parameter, and periodic pulse are illustrated graphically and compared with current thermoelastic models.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Doaa Atta, Hamid M. Sedighi
Summary: This study presents a theoretical framework for analyzing a nonlocal thermoelastic model with a general kernel function and two time delays. The model aims to study the thermomechanical response of size-dependent nanobeams. The problem is formulated using nonlocal elasticity theory and a generalized heat conduction model with phase delays. The model considers a linear variation of thermal conductivity with temperature and applies a variable harmonic heat source as excitation with time-dependent exponential decaying load. Semi-analytical solutions for displacements, temperature, and bending moment are examined using Laplace transform method. The effects of the nonlocal parameter and various loading conditions are investigated and discussed. The study also demonstrates how the linear variation of thermal conductivity can affect the system's performance.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ahmed E. Abouelregal, Hamid M. Sedighi
Summary: This paper introduces a modified constitutive equation that incorporates the size effect of nanostructured materials and a new formulation of Fourier's law with Caputo-Fabrizio fractional heat conduction equation. The Kelvin-Voigt model is used to characterize the viscoelastic behavior of materials. The presented model is applied to analyze the magneto-thermoelastic interactions in a viscoelastic rotating rod subject to a moving heat source.
ENGINEERING WITH COMPUTERS
(2023)
Article
Materials Science, Multidisciplinary
Marin Marin, Erasmo Carrera, Ahmed E. Abouelregal
Summary: In this paper, we study the linear mixed problem with initial and boundary values for a Cosserat body that is both elastic and porous. We couple the equations governing the evolution of the pores with the equations describing the elastic deformations of the Cosserat body. The coupling is achieved through predetermined coefficients. To prove the continuity of the solutions, we introduce a suitable measure that helps in estimating the gradients of the elastic deformations and the behavior of the pores.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Correction
Physics, Multidisciplinary
A. Soleiman, Ahmed E. Abouelregal, Hijaz Ahmad, Phatiphat Thounthong
Article
Mechanics
Ahmed E. Abouelregal, Mohamed E. Nasr, Osama Moaaz, Hamid M. Sedighi
Summary: This work aims to analyze the nonuniform heat transfer through a micropolar miniature half-space by investigating the magneto-thermo-viscoelastic interactions. Higher-order two-phase-lag thermoelastic concept and viscoelastic model of Kelvin-Voigt type are considered to examine the micromechanical coupling and the influence of thermo-mechanical relaxation. The governing equations are developed and numerically solved using Laplace transforms, and the consequences of variations in nonlocality, viscoelasticity, and the Hall effect are demonstrated.
Article
Multidisciplinary Sciences
Osama Moaaz, Ahmed E. Abouelregal, Jan Awrejcewicz
Summary: Based on the analysis of thermoelastic motion, a new model of modified thermoelasticity is developed in this study. The model considers rotating long hollow cylinders with fixed surfaces in a generalized Moore-Gibson-Thompson thermoelastic model framework, incorporating the modified Ohm's law. The equations for heat conduction in the new model are built under the influence of the electromagnetic field, using a delay time in the context of Green-Naghdi of the third kind. The inner boundary of the hollow cylinder is both restricted and sensitive to heat loading, while the outer surface is restricted and insulates the heat. The Laplace transform method is used to solve the differential equations and transfer the problem to the space domain, and the Dubner and Abate method is used for computation and graphical depiction of the theoretical findings.
Article
Multidisciplinary Sciences
Ahmed E. Abouelregal, Marin Marin, Sameh S. Askar
Summary: This study investigates the effects of laser light on the heat transfer of a thin beam heated by an applied current and voltage. Laser heating pulses are simulated as endogenous heat sources with discrete temporal properties. The heat conduction equation is developed using the energy conservation equation and the modified Moore-Gibson-Thompson (MGT) heat flow vector. Thermal and structural analysis of Euler-Bernoulli microbeams is provided with the support of visco-Pasternak's base with three parameters. An approximation of an analytical solution is found for the field variables being examined using the Laplace transform method. A comparison is made of the impacts of laser pulse length, the three foundation coefficients, and the thermal parameters on the responses to changes in measured thermophysical fields, such as deflection and temperature.
Article
Multidisciplinary Sciences
Barakah Almarri, Osama Moaaz, Ahmed E. Abouelregal, Amira Essam
Summary: Based on a comparison with first-order equations, new criteria for investigating the asymptotic behavior of a class of differential equations with neutral arguments are obtained. The non-canonical case for an even-order equation is considered, with a focus on excluding positive solutions by considering the symmetry between the positive and negative solutions. The results obtained do not require certain restrictions present in previous relevant literature.
Article
Engineering, Mechanical
Ahmed E. Abouelregal, Osama Moaaz, Khalil M. Khalil, Mohamed Abouhawwash, Mohamed E. Nasr
Summary: This study presents a new micropolar thermoelasticity theory incorporating high-order phase delays and two temperatures. The model is applied to analyze the microstructure of rotating materials under the influence of Hall current. The results demonstrate that the higher-order phase delays and two-temperature factor have a significant impact on the behavior of the studied variables.
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2023)
Article
Mathematics
Ahmed E. Abouelregal, Marin Marin, Sahar M. Abusalim
Summary: By laminating piezoelectric and flexible materials, their performance can be improved. Therefore, the electrical and mechanical properties of layered piezoelectric materials under electromechanical loads and heat sources need to be analyzed theoretically and mechanically. Extended thermoelasticity models have been derived to address the problem of infinite wave propagation, as classical thermoelasticity cannot address this issue. This paper focuses on the thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a movable axial heat source, using the dual-phase-lag (DPL) heat transfer model. The physical characteristics of the FG rod vary exponentially along the axis of the body. The Laplace transform and decoupling techniques are used to analyze the physical fields obtained. The results are compared with those in previous literature, considering a range of heterogeneity, rotation, and heat source velocity measures.
Article
Mathematics, Applied
Ahmed E. Abouelregal, Bekir Akgoz, Omer Civalek
Summary: The objective of this work is to improve a generalized thermoelastic heat transport framework, which is compatible with observable physical processes and allows speed reduction of heat waves within the solid. The proposed model can be used to derive alternative thermoelasticity models as special cases. The influence of Hall current on magneto-thermoelastic couplings in an infinite conducting viscoelastic medium with a cylindrical cavity under a strong magnetic field is also considered.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Mathematics, Applied
Osama Moaaz, Ahmed E. Abouelregal, Fahad Alsharari
Summary: This paper presents a mathematical formulation for transverse resonance of thermoelastic nanobeams that are simply supported and compressed with an initial axial force. The effect of length scale is analyzed using the concept of nonlocal elasticity and the dual-phase-lag heat transfer theory. The nanobeam moves in one direction at a constant speed due to a changing thermal load. The governing motion equation is derived using Hamilton's principle and solved using Laplace transform technique. The impact of nonlocal nanoscale and axial velocity on the responses of the moving beam are investigated, revealing substantial effects of phase delays, nonlocal parameter, and external excitation load on the system behavior.
Article
Mathematics, Applied
Osama Moaaz, Ahmed E. Abouelregal
Summary: This current research focuses on studying the thermodynamic responses to thermal media by using a modified mathematical model in the field of thermoelasticity. A new model is proposed by incorporating Caputo-Fabrizio and Atangana-Baleanu fractional differential operators with fractional time derivatives under the framework of a two-phase delay model. The analytic solution of an unbounded material with a spherical hole experiencing a reduced moving heat flow on its inner surface is obtained using the Laplace transform as the solution mechanism. The influences of different fractional operators and thermal properties on the response of all the examined fields are evaluated through specific comparisons presented in tables.
