Article
Engineering, Multidisciplinary
Shengbo Zhu, Zhenzhen Tong, Jiabin Sun, Qingdong Li, Zhenhuan Zhou, Xinsheng Xu
Summary: The study conducted a nonlinear post-buckling analysis of piezoelectric functionally graded cylindrical shells, revealing that thick shells usually exhibit symmetric modes while ultra-thin shells only show asymmetric modes. It was also found that the impact of power law index is highly dependent on external electro-thermal loadings.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Mechanical
Yunfei Liu, Zhaoye Qin, Fulei Chu
Summary: This paper presents a new solution approach to address the nonlinear forced vibrations of functionally graded piezoelectric shells in multi-physics fields, considering the effects of micro-voids. By utilizing Hamilton's principle and the Donnell nonlinear shallow shell theory, motion equations are derived, and a novel method combining multi-mode Galerkin scheme and Pseudo-arclength continuation method is employed to solve the nonlinear multiple internal resonances and bifurcations of the systems with multiple degrees of freedom.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Acoustics
Ahmed E. Abouelregal, Rakhi Tiwari
Summary: Functionally graded materials are widely used in various industries due to their exceptional properties. This study introduces a new mathematical model to analyze the interaction of functionally gradient thermoelastic nanobeams with abrupt heat. Analytical solutions for the system were obtained using Laplace transform, and numerical methods were used to study the distributions of temperature, displacement, deflection, and flexural moment. The effects of kernel functions, time delay, and nonlocal quantum on the system were discussed based on the computational results and graphical figures. A comparison with existing thermal conductivity models confirmed the validity of the proposed model.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mechanics
Pawan Kumar, S. P. Harsha
Summary: This paper focuses on the static and dynamic behavior of exponential functionally graded piezoelectric materials under thermo-electro-mechanical loading. Motion equations are deduced using the first-order shear deformation theory and Hamilton's principle. The study helps in the design and analysis of functionally graded piezoelectric material-based actuators under thermal and electrical environments.
COMPOSITE STRUCTURES
(2021)
Article
Chemistry, Analytical
Yuhang Chen, Maomao Zhang, Yaxuan Su, Zhidong Zhou
Summary: The flexoelectric effect has a significant impact on the electro-mechanical coupling of micro-nano devices, particularly in functionally graded beams. This study investigates the mechanical and electrical properties of such beams under various electrical boundary conditions, highlighting the influences of flexoelectric effect, piezoelectric effect, and gradient distribution on their performance. The results show that nonuniform piezoelectricity and polarization direction play a leading role in induced electric potential, and flexoelectric effect dominates as beam thickness decreases.
Article
Construction & Building Technology
Ridha A. Ahmed, Basima Salman Khalaf, Kareem Mohsen Raheef, Raad M. Fenjan, Nadhim M. Faleh
Summary: This research investigates the thermal and electrical effects on the dynamic response of a porous nano-sized plate modeled by a nonlocal higher-order refined plate model. The study considers porous materials with uniform or non-uniform porosity distribution, as well as strain gradient effects for accurate modeling. The findings derived through the differential quadrature method have been validated and the impact of thermal environment, electrical environment, nonlocal scale, and porous material on the dynamic behaviors of the foam-based nanoplate have been explored.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Wei Tian, Tian Zhao, Zhichun Yang
Summary: A unified analytical model is developed to investigate the nonlinear aeroelastic behaviors of a supersonic functionally graded piezoelectric material (FGPM) plate. Numerical examples demonstrate the significant effects of key parameters on the plate, and the impacts of thermal and electric loads are studied as well.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Pawan Kumar, S. P. Harsha
Summary: In this study, the vibration response of porous functionally graded piezoelectric plates with electro-thermal loading was investigated using finite element formulations. The results showed that the material's unevenness and porosity distribution have an impact on the frequency, and the frequency decreases with an increase in the a/h ratio.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Mojtaba Mahmoudi Monfared, Rasul Bagheri
Summary: The fracture behavior of a cracked functionally graded piezoelectric plane was investigated under various shaped cracks, loading parameters, and non-homogeneity parameters, with stress and electric intensity factors calculated through numerical solutions.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Construction & Building Technology
Magdy A. Ezzat, Zeid I. A. Al-Muhiameed
Summary: In this study, a memory response formulation is constructed for the nonlocal systematic coupling of viscoelastic deformation and thermal fields in piezoelectric materials. The method of matrix exponential and Laplace transform technique are utilized to solve a specific problem and illustrate the impacts of parameters on thermal spreads and thermo-viscoelastic response.
STEEL AND COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Composites
Fei Zhao, Yuqi Chen, Bo Zhou, Yingjie Li, Shifeng Xue
Summary: A new constitutive model for simulating the thermo-mechanical behaviors of functionally graded SMP beams was established in this paper, and a simply supported beam was used as an example for solving and simulation, drawing some conclusions.
POLYMER COMPOSITES
(2021)
Article
Engineering, Civil
Pawan Kumar, S. P. Harsha
Summary: This paper analyzes the vibration behavior of the functionally graded sigmoid piezoelectric plate under different porosity types and examines the influence of nonlinearity on the vibration response.
Article
Acoustics
Sha Wang, Cheng Chen, Liqing Hu, Shuyu Lin
Summary: In this study, a functionally graded spherical piezoelectric transducer is proposed and a precise theoretical model is constructed using a three-port electromechanical equivalent circuit model. The model allows for easy evaluation of the entire mechanical vibration system by connecting it with other vibration systems based on boundary conditions. The validity of the model is verified and the effects of key factors on the vibration characteristics of the transducer are studied, providing valuable guidance for structural optimization design.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
(2022)
Article
Acoustics
Sha Wang, Cheng Chen, Liqing Hu, Shuyu Lin
Summary: In this work, a functionally graded spherical piezoelectric transducer (FG-sPET) with an accurate theoretical model is proposed, which facilitates the evaluation of the whole mechanical vibration system. The effects of geometric dimensions and non-uniform coefficients on vibration characteristics were studied to guide the structural optimization design of functionally graded piezoelectric devices.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
(2022)
Article
Engineering, Mechanical
Lieu B. Nguyen, H. Nguyen-Xuan, Chien H. Thai, P. Phung-Van
Summary: This paper presents a size-dependent isogeometric analysis approach for modeling smart functionally graded porous nanoscale plates made of two piezoelectric materials. The nonlocal elasticity theory is employed to consider size-dependent effects and the governing equations are obtained using a combination of higher-order shear deformation theory and non-uniform rational B-splines formulations. The paper investigates the influences of various factors on the natural frequencies of the smart nanoplate and compares the results with published documents, showing the reliability and effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(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
Chemistry, Inorganic & Nuclear
Banat Gul, Muhammad Salman Khan, Hijaz Ahmad, Phatiphat Thounthong
Summary: In this study, the structural, electronic, optical, and transport properties of Magnesium-based group II-VI materials were investigated using density functional theory calculations. The results showed that these materials are indirect bandgap semiconductors, with bandgaps of 1.17 eV for MgCdO2 and 0.51 eV for MgCdS2. The computed total density of states exhibited a sequential shift with increasing energy. The linear optical parameters, such as the real and imaginary parts of the dielectric function, were calculated and analyzed in detail. Additionally, the thermoelectric properties of these materials were computed, suggesting their efficiency for thermoelectric device applications.
JOURNAL OF SOLID STATE CHEMISTRY
(2023)
Article
Mathematics
I. Yalcinkaya, H. El-Metwally, D. T. Tollu, H. Ahmad
Summary: In this paper, the existence, boundedness, asymptotic behavior, and oscillatory behavior of the positive solutions of the fuzzy difference equation z(n+1) = A + B/z(n-m) are investigated. Here, n is an element of N-0 = N boolean OR {0}, (z(n)) is a sequence of positive fuzzy numbers, A, B, and the initial conditions z(-j), j = 1, 2, ... , m, are positive fuzzy numbers, and m is a positive integer.
MATHEMATICAL NOTES
(2023)
Article
Materials Science, Multidisciplinary
Banat Gul, Muhammad Salman Khan, Gulzar Khan, Hijaz Ahmad
Summary: In this study, the researchers used density functional theory to investigate the properties of AIn(2)O(4) (A = Ca, Sr, and Na) spinel oxides. The results showed that CaIn2O4 and NaIn2O4 are direct bandgap semiconductors, while SrIn2O4 is an indirect bandgap semiconductor. The calculated band structures and density of states supported the semiconducting nature of these materials. The optical and thermoelectric properties of these novel spinel oxides were also analyzed, suggesting their potential applications in optoelectronic devices and thermoelectric devices.
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
(2023)
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
Materials Science, Multidisciplinary
Abdul Ghafoor, Sobia Sardar, Asad Ullah, Manzoor Hussain, Hijaz Ahmad, Fuad A. Awwad, Emad A. A. Ismail
Summary: In this work, a hybrid scheme is proposed for the numerical study of various evolutionary partial differential equations (EPDEs). The scheme utilizes finite differences for temporal derivatives, Lucas and Fibonacci polynomials for solution and spatial derivatives approximation, and the collocation approach for converting EPDEs into a system of coupled linear equations. Quasilinearization is used to handle nonlinearity. The scheme is implemented to solve different EPDEs and compared with previous literature. The simulation results demonstrate its effectiveness.
RESULTS IN PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Khalida Faisal, Souleymanou Abbagari, Arash Pashrashid, Alphonse Houwe, Shao-Wen Yao, Hijaz Ahmad
Summary: In this work, the Sardar Sub-equation method is employed to investigate optical soliton solutions and diverse solutions for the High-order dispersive Nonlinear Schrodinger equation using three families of nonlinearities: Kerr law, Power Law, and Parabolic law. Bright and dark optical soliton solutions are obtained considering the constraint relation on some parameters of the NLSE. Singular soliton and trigonometric function solutions are also revealed under certain conditions on the method parameters. Additionally, a new form of complex solutions is obtained for rho=a(2)/4b. The results are visually depicted in 2D and 3D, illustrating the peakon soliton compared to previous studies by Yildirim et al. (2020), Zayed et al. (2020), and Rezazadeh et al. (2020). These findings could potentially contribute to the development of optical fiber devices for enhancing communication flux.
RESULTS IN PHYSICS
(2023)
Article
Physics, Applied
Muhammad Farooq, Hijaz Ahmad, Dilber Uzun Ozsahin, Alamgeer Khan, Rashid Nawaz, Bandar Almohsen
Summary: This paper investigates the Poiseuille flow of non-isothermal couple stress fluid of Reynolds model between two heated parallel inclined plates using the AHPM and OHAM-DJ methods. The approximate solutions for various flow properties are obtained and compared, showing excellent resemblance between the two methods.
MODERN PHYSICS LETTERS B
(2024)
Article
Multidisciplinary Sciences
K. Bhagya Swetha Latha, M. Gnaneswara Reddy, D. Tripathi, O. Anwar Beg, S. Kuharat, Hijaz Ahmad, Dilber Uzun Ozsahin, Sameh Askar
Summary: Modern smart coating systems utilize functional materials with rheology, electromagnetic properties, and nanotechnological capabilities, providing advantages in medical, energy, and transport designs. This study investigates interconnected magnetohydrodynamic non-Newtonian movement and thermal transfer in stagnation flow and applies a transverse static magnetic field to a ternary hybrid nanofluid coating. The study focuses on the impact of control parameters on velocity, induced magnetic field stream function gradient, and temperature. Evaluation of the relative performance of different nanofluids is conducted.
SCIENTIFIC REPORTS
(2023)
Article
Thermodynamics
Imtiaz Ahmad, Hijaz Ahmad, Mustafa Inc
Summary: In this article, a meshless method of line (MMOL) is used to numerically solve general seventh-order Korteweg-de Vries (KdV7) equations. The method employs radial basis functions (RBF) for spatial derivatives and the Runge-Kutta (RK) method for time derivatives. Three different types of RBF are used to achieve an efficient numerical solution, which is successfully compared to the exact solution.
Article
Thermodynamics
Muhammad Ahsan, Amir Ali Khan, Seza Dinibutun, Imtiaz Ahmad, Hijaz Ahmad, Nantapat Jarasthitikulchai, Weerawat Sudsutad
Summary: This paper proposes a Haar wavelet collocation method (HWCM) for solving the Riccati equation with two-point and integral boundary conditions. The Riccati equation is linearized using the quasi-linearization technique, and the linearized equation with boundary conditions is then solved by converting it into a system of algebraic equations with the help of Haar wavelets. Three different forms of the Riccati equation are considered, two with integral boundary conditions and one with two-point boundary condition. The numerical results obtained by HWCM are stable, efficient, and convergent.
Article
Mathematics, Applied
Tayeb Blouhi, Mustapha Meghnafi, Hijaz Ahmad, Phatiphat Thounthong
Summary: This research focuses on finding solutions to a class of mild solutions related to impulsive Hilfer fractional differential equations driven by Brownian motion with non-compact semi-groups in Hilbert spaces. The Hausdorff measure of noncompactness is used to obtain these new results, along with the implementation of the Darbo-Sadovskii fixed point theorem principle and vector-valued metrics technique with convergent to zero matrices. An illustrated example is provided to demonstrate the efficiency and accuracy of the approach.
Article
Physics, Multidisciplinary
Shumaila Javeed, Tayyab Imran, Hijaz Ahmad, Fairouz Tchier, Yun-Hui Zhao
Summary: In this article, the first integral method (FIM) is applied to obtain analytical solutions for the (3+1)-D Wazwaz-Benjamin-Bona-Mahony equation and the (2+1)-D cubic Klein-Gordon equation. The FIM method enables the discovery of new soliton solutions, including solitons, cuspon, and periodic solutions. This approach can be utilized for solving higher-dimensional nonlinear partial differential equations (PDEs), both integrable and non-integrable.
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.
