Article
Chemistry, Physical
Roman Kushnir, Anatoliy Yasinskyy, Yuriy Tokovyy, Eteri Hart
Summary: This study presents an algorithm to solve the problem of unknown temperature in a tribo-couple, and validates its efficiency through numerical comparison. The algorithm demonstrates stability with respect to small errors in input data, and successfully simplifies the problem into an inverse thermoelasticity problem.
Article
Mechanics
Santanu Banerjee, Soumen Shaw, Basudeb Mukhopadhyay
Summary: This article theoretically investigates the memory response of thermal wave propagation from a cylindrical hole in an unbounded thermoelastic solid. The research shows significant differences in the characteristics of thermal waves compared to the usual thermoelasticity theory when considering memory-dependent derivatives.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2021)
Article
Mechanics
Doaa Atta, Ahmed E. Abouelregal, Hamid M. Sedighi, Rasmiyah A. Alharb
Summary: The main objective of this paper is to investigate the relationship between thermal processes and diffusion in thermoelastic solids. A new model that allows thermo-diffusion waves to propagate at finite speeds has been derived. The model is used to investigate a one-dimensional thermodiffusion problem for a homogeneous spherical shell, and analytical expressions for different transformed thermophysical fields are found. The differences between the presented model and previous theories are graphically presented and discussed.
MECHANICS OF TIME-DEPENDENT MATERIALS
(2023)
Article
Physics, Multidisciplinary
Wael W. Mohammed, Ahmed E. Abouelregal, Doaa Atta, F. Khelifi
Summary: This study presents a new non-local thermoelastic model that incorporates the size-dependent effect in the equations of motion and constitutive relations. The Moore-Gibson-Thompson concept is used to establish the generalized model of heat conduction. Analytical formulas for thermophysical fields are derived in the Laplace transform field, and numerical methods are employed to obtain the physical field results. The effects of non-localization and heat source velocity on the behavior of the investigated fields are discussed. Overall, the results demonstrate the promising application of Eringen's non-local elasticity model in analyzing nanostructures with considerations for size effects.
Article
Mathematics, Applied
Noelia Bazarra, Jose R. Fernandez, Ramon Quintanilla
Summary: In this paper, a thermoelastic problem is studied from both analytical and numerical viewpoints. A linear coupled system of two third-order partial differential equations is derived using the MGT model with two different relaxation parameters. The existence and uniqueness of the problem is proved using the theory of linear semi-groups. The paper also presents a fully discrete approximation of the problem using the classical finite element method and the implicit Euler scheme, and shows the convergence and behavior of the approximation through numerical simulations.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Mathematics
Ibrahim Abbas, Aatef Hobiny, Sorin Vlase, Marin Marin
Summary: In this study, the nonlocal thermoelastic theory is used to investigate wave propagation in unbounded thermoelastic materials. The model, which includes relaxation time in thermal conduction formulation and equations of motion, is developed based on Lord and Shulman's generalized thermoelastic model using Eringen's nonlocal continuum theory. Analytical solutions for thermal stress, displacement, and temperature distribution are obtained using Laplace transform methods and integral transforms. The effects of nonlocal parameters and relaxation time on the wave propagation distributions in the material are visually demonstrated and explored.
Article
Mathematics
Osama Moaaz, Ahmed E. Abouelregal, Fahad Alsharari
Summary: The main objective of this study is to investigate the homogeneous thermoelastic interactions in an isotropic hollow thin cylinder immersed in an electric-magnetic field. The linear Moore-Gibson-Thompson theory of thermoelasticity is used, with the inclusion of the generalized Ohm's law. The MGT system of thermoelastic equations for the new model is developed by incorporating a relaxation period in the Green-Naghdi type III framework. The theoretical results are computationally analyzed for a transversely isotropic material using the Honig and Hirdes approach, and a comparison of findings based on different thermoelastic theories is provided, along with a discussion on the impact of the applied electromagnetic field.
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
Thermodynamics
Emad Awad, Trifce Sandev, Ralf Metzler, Aleksei Chechkin
Summary: Jeffreys equation extends diffusive laws for heat and particle transport, exhibiting various anomalous behaviors in mean squared displacement. Different approaches, such as fractional Taylor series and distributed-order derivatives, transform traditional laws into the time-fractional Jeffreys equation for practical applications.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Mechanics
Aatef D. Hobiny
Summary: This paper presents a method to investigate the impact of porosity and thermal relaxation time on a poro-thermo-elastic medium using the finite element method. The study focuses on a one-dimensional poro-elastic half-space. The complex equations are solved using the finite element technique, with Laplace transformation applied to the time domain. The numerical inversion of Laplace transforms provides the solution. Numerical results for displacements, temperatures, and stresses in both the fluid and solid phases are presented graphically.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mathematics, Applied
Yue He, Reiichiro Kawai
Summary: The article contrasts two different time-changing mechanisms in harmonic force fields, examining their impact on mean-reverting diffusion properties and potential counterintuitive effects. Through comparative analysis, the conclusion is drawn on the need to avoid misleading results and contradictory interpretations in experimental settings.
Article
Mathematics
Olga S. Yazovtseva, Irek M. Gubaydullin, Elizaveta E. Peskova, Lev A. Sukharev, Andrey N. Zagoruiko
Summary: The article presents a mathematical model of oxidative regeneration of a cylindrical catalyst grain using a diffusion approach. It takes into account the material and thermal balance equations as well as the chemical transformations and thermal conductivity of the grain. The model is solved using the Radau method for chemical problems and the finite volume method for diffusion and thermal conductivity equations. The results provide a distribution of substances and temperature along the cylindrical grain.
Article
Mathematics
Aatef Hobiny, Ibrahim Abbas
Summary: In this work, we study the problem of a semiconductor half-space made of materials with varying thermal conductivity, considering both with and without the use of Kirchhoff's transforms. Specifically, we focus on a thermal relaxation time problem within the framework of generalized photothermoelastic theory. The finite element method is used for numerical solution, while the Laplace transform and eigenvalues method are utilized to determine analytical solutions. Different hypotheses are investigated to consider the impact of thermal conductivity changes. Comparison between numerical and analytical results is provided to validate the proposed approach by studying the behavior of physical quantities.
Article
Physics, Multidisciplinary
Ahmed E. Abouelregal, Hijaz Ahmad, Mehmet Yavuz, Taher A. Nofal, M. D. Alsulami
Summary: This study introduces a novel thermoelastic heat conduction model, which restricts the velocity of heat wave propagation within the material and improves the heat equation by introducing a delay factor. The model can be applied to investigate thermoelastic materials under different conditions, providing a deep insight into their characteristics and behavior.
Article
Engineering, Mechanical
Deison Preve, Andrea Bacigalupo, Marco Paggi
Summary: A multi-scale variational-asymptotic homogenization method is developed for periodic microstructured materials in presence of thermoelasticity with periodic spatially dependent one relaxation time. The method establishes equivalence between macro-scale and micro-scale equations, leading to efficient computation of the microscopic fields in terms of the macroscopic ones. Results show good agreement with heterogeneous continuum theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Mohammad Amin Shahmohammadi, Sayed Mohamad Mirfatah, Hamzeh Salehipour, Fatemeh Azhari, Omer Civalek
Summary: This article investigates the dynamic instability of hybrid fiber/nanocomposite-reinforced toroidal shells, achieving a semi-analytical solution through the approximation of Fourier series and Galerkin method. By comparing the results and performing a parametric study, the accuracy and effects of geometrical and mechanical specifications on the dynamic instability are evaluated.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Osama Moaaz, Khalil M. Khalil, Mohamed Abouhawwash, Mohamed E. Nasr
Summary: According to the concept of small polar thermoelasticity, this study investigates the effects of rotational and translational motions of elastic materials on aggregate deformations, temperature changes, and microcycles. The two-dimensional electromagnetic micropolar thermoelasticity of an elastic medium subjected to heating and a transverse magnetic field is examined using the higher-order dual phase lag model and the two-temperature theory. Through calculations and numerical comparisons, the study provides expressions and graphical examples of the studied fields, and draws conclusions about the importance of studying advanced thermoelastic systems.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Ahmed E. Abouelregal
Summary: This article investigates the thermoelastic interactions in functionally graded nanobeams. The physical properties of the nanobeam vary in graded according to its thickness. The results show that the gap between classical and nonlocal theories widens with increasing nonlocal parameters and decreasing nanobeam length.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Multidisciplinary Sciences
Wael W. W. Mohammed, M. El-Morshedy, Abdelkader Moumen, Ekram E. E. Ali, M. Benaissa, Ahmed E. E. Abouelregal
Summary: In this article, the exact solutions to the fractional-space stochastic (2+1)-dimensional breaking soliton equation (SFSBSE) are obtained using the modified F-expansion method. A variety of exact solutions including trigonometric and hyperbolic functions are derived, extending previously attained results. Matlab is used to plot three-dimensional and two-dimensional diagrams of the exact fractional-stochastic solutions to clarify the influence of multiplicative noise and M-Truncated derivative on the behavior and symmetry of the solutions for the SFSBSE. It is found that a noise term that destroys the symmetry of the solutions increases the solution's stability.
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
Engineering, Aerospace
Sayed Mohamad Mirfatah, Saman Tayebikhorami, Mohammad Amin Shahmohammadi, Hamzeh Salehipour, Omer Civalek
Summary: This paper investigates the geometric nonlinear dynamic behavior of shallow sandwich panels made of nanocomposite enriched face-sheets and auxetic honeycomb core with negative Poisson's ratio. An analytical approach based on the Galerkin method is used to solve the governing nonlinear differential equations, resulting in a closed form equation of motion solved by the fourth-order Runge-Kutta method. The proposed method is verified and shown to yield results with less than 2% error compared to previously published papers. Numerical studies show that the proposed method allows for efficient nonlinear dynamic analysis of the panels.
AEROSPACE SCIENCE AND TECHNOLOGY
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Rakhi Tiwari, Taher A. Nofal
Summary: The paper investigates the impact of the Seebeck effect on flexible materials by constructing the Moore-Gibson-Thompson heat equation model. By incorporating thermal gradients, charge density, Fourier's law, and current density into Ohm's law, the model examines the behavior of unbounded thermoelastic solid material under a uniform magnetic field and continuous thermal line. The study combines Laplace and Hankel transformational methods with the potential function technique and uses numerical inversion algorithms to analyze the physical fields. Measurements of thermoelectric sensitivity and the coefficient relating current density to heat flux density were also conducted.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Ahmed E. E. Abouelregal, Hamid M. M. Sedighi, Sami F. F. Megahid
Summary: Optical and photo-thermal effects have been studied using the Moore-Gibson-Thompson (MGT) thermoelastic model. The heat conduction law is modified to include fractional order time derivatives, and the system of governing equations is theoretically formulated. The Atangana and Baleanu derivatives are used to consider the features of fractional derivatives. The Laplace transform method is shown to be an effective technique for solving problems related to plasma and heat transfer with phase delays.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Thermodynamics
Ahmed E. Abouelregal, Marin Marin, Andreas Oechsner
Summary: In this article, the modified Moore-Gibson-Thompson heat transfer equation is used to study the thermoelastic interaction induced by non-Gaussian lasers in an infinitely elastic nonlocal medium. The memory-dependent derivative is examined and found to be superior in predicting real-life challenges. The idea of a memory-dependent derivative is attractive due to its peculiarities, such as the freely selectable kernel function and time lag, and the utilization of the non-local concept of Eringen allows for understanding small-scale influence.
CONTINUUM MECHANICS AND THERMODYNAMICS
(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
Engineering, Civil
Sayed Mohamad Mirfatah, Mohammad Amin Shahmohammadi, Hamzeh Salehipour, Omer Civalek
Summary: The aim of this paper is to study the size-dependent geometrical nonlinear static characteristics of curved panels enriched by nano-additives incorporating thermal effects. The size-dependency is considered by developing the basic equations based on the modified couple stresses theory (MCST). An analytical approach based on the Galerkin method is used to find the response of the achieved set of nonlinear differential equations and obtain a closed-form pressure-deflection relationship representing the nonlinear equilibrium path of the curved micropanels. The closed-form relationship is examined and a parametric numerical study is conducted to investigate the effects of material length-scale parameter (MLSP) and the characteristics of geometry and material on the geometrical nonlinear path of equilibrium.
ENGINEERING STRUCTURES
(2023)
Article
Multidisciplinary Sciences
O. Ragb, Mohamed Salah, M. S. Matbuly, H. Ersoy, O. Civalek
Summary: In this study, polynomial, discrete singular convolution, and sinc quadrature techniques were utilized to derive accurate and efficient numerical solutions for reaction-diffusion equations. Three models were presented and reduced to nonlinear ordinary differential equations using different quadrature schemes. The Runge-Kutta fourth-order method was employed to solve these equations, and MATLAB program was used for computation. Comparisons and statistical errors showed the ease of implementation and efficiency of the new methods. Parametric analysis demonstrated the influence of diffusion and reaction parameters on the solution.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2023)
Article
Mechanics
Busra Uzun, Omer Civalek, Mustafa Ozgur Yayli
Summary: This study presents a vibration analysis of functionally graded nano-sized beams resting on an elastic foundation using a finite element method. The beams are modeled based on Euler-Bernoulli beam theory and Eringen's nonlocal elasticity theory under various boundary conditions. The material properties of the beams vary across the thickness direction. The paper emphasizes the use of shape functions and Eringen's nonlocal elasticity theory to establish stiffness matrices and mass matrices for free vibration analysis. Several numerical examples are provided to investigate the effects of different parameters on frequencies.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
