Article
Engineering, Mechanical
Ahmed E. Abouelregal, Hamid Mohammad-Sedighi, Seyed Ali Faghidian, Ali Heidari Shirazi
Summary: This article investigates the influence of thermal conductivity on the dynamics of a rotating nanobeam using nonlocal thermoelasticity theory. Analytic solutions for bending moment, deflection, and temperature are obtained through the Laplace transform procedure. The study highlights the strong dependence of physical fields on nonlocal parameters, changes in thermal conductivity, rotation speed, and mechanical loads, emphasizing the importance of considering these effects in the manufacturing process of precise/intelligent machines and devices.
FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING
(2021)
Article
Mathematics, Applied
Hayri Metin Numanoglu, Hakan Ersoy, Bekir Akgoz, Omer Civalek
Summary: This study investigates the size-dependent thermo-mechanical vibration analysis of nanobeams by implementing Hamilton's principle and the stress equation of nonlocal elasticity theory. The finite element method is used to solve the eigenvalue problem and derive stiffness and mass matrices. Nonlocal finite element method is emphasized for analyzing the vibration behavior of nanobeams under different boundary conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Computer Science, Interdisciplinary Applications
Tarek Merzouki, Mohammed Sid Ahmed Houari, Mohamed Haboussi, Aicha Bessaim, Manickam Ganapathi
Summary: In this study, a new trigonometric two-variable shear deformation beam nonlocal strain gradient theory is proposed. The combined effects of nonlocal stress and strain gradient on the bending, buckling, and free vibration analysis of nanobeams are investigated. The proposed model shows good predictive capability and accuracy within the nonlocal context, as demonstrated through numerical examples and comparisons with other higher-order shear deformation beam theories.
ENGINEERING WITH COMPUTERS
(2022)
Article
Physics, Applied
Ahmed E. Abouelregal, Hijaz Ahmad, Taher A. Nofal, Hanaa Abu-Zinadah
Summary: This paper analyzes the thermoelastic dynamic behavior of simply supported viscoelastic nanobeams of fractional derivative type due to a dynamic strength load, using numerical calculations and comparing results of different viscoelastic models.
MODERN PHYSICS LETTERS B
(2021)
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
Chemistry, Multidisciplinary
Daniela Scorza, Sabrina Vantadori, Raimondo Luciano
Summary: This study extends the two-phase stress-driven integral model to nanobeams with internal discontinuities, addressing the issue by introducing a mixture parameter. The analysis of various case studies and a centrally-cracked nanobeam demonstrates the strong dependency of fracture properties on characteristic length and mixture parameter values.
Article
Mechanics
Pei Zhang, Peter Schiavone, Hai Qing
Summary: This article presents a hygro-thermal-damping vibration analysis of two-variable shear deformation beams supported by a visco-Pasternak foundation. The effects of simultaneously applying stress-driven nonlocal assumptions on the foundation and hygro-thermal load in the undamped and damping vibration of the shear deformation beams are examined.
COMPOSITE STRUCTURES
(2023)
Review
Optics
Kunal Shastri, Francesco Monticone
Summary: 'Nonlocality' in electromagnetics and photonics refers to the dependence of a material or system's response/output at a certain point in space on the input field across an extended region of space. Nonlocal flat optics aims to exploit strong effective nonlocality to enhance the response of metasurfaces. This article summarizes the latest advances in this field, highlighting its fundamental principles and various applications, from optical computing to space compression. The convergence of local and nonlocal flat optics may revolutionize the control of light using ultra-thin platforms in real and momentum space.
Article
Engineering, Civil
Moustafa S. Taima, Tamer A. El-Sayed, Michael I. Friswell
Summary: This study presents a novel approach to investigate the thermal lateral vibration of cracked nanobeams using Reddy beam analysis-based solutions. The effects of various factors on the natural frequencies are explored, and the outcomes are compared with prior findings, showing a strong level of agreement.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Isa Ahmadi
Summary: In this study, a novel formulation based on the meshless method was developed to study the dynamic behavior of 2D functionally graded nanobeams. The predictions of the presented solution were validated with good agreements through comparison with available results in literature, and the effects of various parameters on the normalized natural frequencies of 1D and 2D-FG nanobeams were investigated.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Xiaoxia Ma, Keivan Kiani
Summary: By utilizing nonlocal continuum mechanics, the buckling characteristics of nanobeams are analyzed. Nonlocal beam models and deformation equations are established and a Galerkin-based meshless approach is used to evaluate the critical buckling response. For the first time, the spatial nonlocal buckling behavior of nanobeams is examined and the significant role of nonlocality and shear deformation is discussed.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Thermodynamics
Aatef D. Hobiny, Ibrahim Abbas
Summary: This paper focuses on the effect of variable thermal conductivity under generalized photothermoelastic theory in semiconductor medium. The numerical solutions of the problem are obtained using the finite element method, considering the impact of uniform unit step temperature on the medium's surface. A comparison is made between the numerical results and previous analytical studies, neglecting the new parameter, to confirm the accuracy of the proposed method.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Raffaele Barretta, Andrea Caporale, Raimondo Luciano, Marzia Sara Vaccaro
Summary: Nonlocal continuum theories are applied to investigate the mechanics of nanobeams under non-smooth fields. The study starts with the general formulation of elasticity in nanobeams based on the abstract form of nonlocal gradient theory. The equivalent differential problem is derived to determine the constitutive law, and the simplest constitutive interface conditions not involving spatial convolutions are established.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Thermodynamics
Shilpa Chaudhary, Sunita Deswal, Sandeep Singh Sheoran
Summary: This study analyzes the behavior of plane waves within a nonlocal transversely isotropic visco-thermoelastic medium with variable thermal conductivity. Numerical computations are used to determine the amplitude ratios, phase speeds, and energy partition. The results demonstrate that the amplitude ratios are significantly influenced by variable thermal conductivity, nonlocal parameters, and viscosity, and the phase speeds depend on the angle of incidence.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2023)
Article
Engineering, Civil
Xuejie Yue, Xuezheng Yue, Vahid Borjalilou
Summary: This study establishes a comprehensive model to analyze the size-dependent thermoelastic vibrations of Timoshenko nanobeams, highlighting the significant role of nonclassical scale parameters in accurate analysis. The findings suggest that the nonclassical model can capture both stiffness softening and stiffness enhancement characteristic of small-sized structures.
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING
(2021)
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
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
Thermodynamics
Marin Marin, Andreas Oechsner, Sorin Vlase, Dan O. Grigorescu, Ioan Tuns
Summary: In this study, we establish a boundary value problem for elasticity of porous piezoelectric bodies with a dipolar structure. By defining two operators on suitable Hilbert spaces, we prove their positivity and self-adjointness, demonstrating that eigenvalues are real numbers and corresponding eigenfunctions are orthogonal. A variational formulation is provided for the eigenvalue problem using a Rayleigh quotient type functional. Additionally, a disturbance analysis in a specific case is investigated. It is important to note that the porous piezoelectric bodies with dipolar structure considered in this study are of a general form, i.e., inhomogeneous and anisotropic.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2023)
Article
Mathematics, Applied
Ahmed E. Abouelregal, Marin Marin, Holm Altenbach
Summary: This article presents the first investigation of the thermoelectric vibration of microscale Euler-Bernoulli beams resting on an elastic Winkler base. The system of equations for thermoelastic microbeams was developed using elastic basis theory and the generalized Moore-Gibson-Thompson (MGT) thermal transport framework. The effects of different inputs on mechanical fields were analyzed and it was found that an increase in the Winkler modulus and shear modulus of the foundation decreased the deflection and axial deformation in the microbeams.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
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
Multidisciplinary Sciences
Kamal Berrada, Mariam Algarni, Marin Marin, Sayed Abdel-Khalek
Summary: We investigate the temporal behavior of entanglement formation and quantum coherence in a quantum system consisting of two superconducting charge qubits (SC-Qs) under two different classes of nonlinear field. The study discusses the impact of time-dependent coupling (T-DC) and dipole-dipole interaction (D-DI) on the temporal behavior of quantum coherence and entanglement in ordinary and nonlinear fields. Furthermore, it is shown that the main parameters of the quantum model affect the entanglement of formation and coherence of the system in a similar manner.
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)
