Article
Engineering, Civil
P. Phung-Van, Qui X. Lieu, A. J. M. Ferreira, Chien H. Thai
Summary: This study presents an effective and simple approach based on RPT and IGA for bending and vibration analyses of FG GPLRC nanoplates. The reinforcement of GPLs can dramatically improve the stiffness of nanoplates, with rich GPLs at the bottom and top considered the most effective for reinforcement.
THIN-WALLED STRUCTURES
(2021)
Article
Mechanics
Ismail Esen, Ramazan Ozmen
Summary: This study investigates the thermal vibration and buckling behaviors of a porous nanoplate made of barium-titanate and cobalt-ferrite with various factors considered. The results show that the frequencies of the nanoplate are influenced by material composition, temperature, porosity ratio, and external electric and magnetic potentials.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Mohamed-Ouejdi Belarbi, Li Li, Mohammed Sid Ahmed Houari, Aman Garg, Hanuman Devidas Chalak, Rossana Dimitri, Francesco Tornabene
Summary: This work studies the size-dependent free vibration response of functionally graded nanoplates using a layerwise theory. The proposed model has a fixed number of variables and adopts the nonlocal elasticity theory to capture the small size effects. The developed finite element model has been demonstrated to be robust and reliable, and a detailed parametric analysis has been conducted.
MATHEMATICS AND MECHANICS OF SOLIDS
(2022)
Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Civil
Minh Thi Tran, Thanh Cuong-Le
Summary: The aim of this work is to investigate the influence of porosity on the free vibration and buckling characteristics of sigmoid functionally graded nanoplate. Modified rule of the mixture is used to calculate the effective material properties of porous sigmoid functionally graded nanoplate. Three schemes of porosity distribution are investigated. The governing equations for free vibration and buckling analysis are established using Eringen's nonlocal elastic theory and isogeometric analysis. The effects of porosity distribution, porosity parameter, material power index, boundary conditions, and aspect ratio on the frequency response of nanoplate are presented.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2022)
Article
Mechanics
Chien H. Thai, A. M. J. Fereira, H. Nguyen-Xuan, P. Phung-Van, P. T. Hung
Summary: In this study, a nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic (MEE) nanoplates made of functionally graded (FG) materials is presented. The model takes into account higher-order shear deformation theory, nonlocal strain gradient theory, and isogeometric analysis method. The stiffness of MEE-FG nanoplates is shown to be influenced by two scale parameters. The natural frequency of the nanoplates is evaluated by considering the power-law scheme, geometrical parameter, nonlocal parameter, strain gradient parameter, electric voltage, and magnetic potential. The results obtained using nonlocal strain gradient theory (NSGT) are compared to those obtained using classical theory.
COMPOSITE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Mehmet Akif Koc, Ismail Esen, Mustafa Eroglu
Summary: This study examines the thermal vibration and buckling behavior of a functionally graded nanoplate. The nanoplate consists of a silicon nitride/stainless steel core plate and two cobalt-ferrite/barium-titanate face plates. Four different porosity models were used to simulate the nanoplate's porosity, and various variables affecting the nanoplate's behavior were considered. The study found that the thermomechanical behavior of nanoplates with magneto-electro-elastic face layers and a functionally graded porous core plate is influenced by material gradation indices, porosity ratios, nonlocal variables, and different core plate material porosity models.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Construction & Building Technology
Maryam Emadi, Mohammad Zamani Nejad, Sima Ziaee, Amin Hadi
Summary: This paper investigates the buckling analysis of nanoplates made of arbitrary BDFG materials using Eringen's nonlocal theory, and employs the GDQM to solve governing equations for obtaining buckling loads. The numerical results demonstrate the accuracy of GDQ method in analyzing buckling behavior of nano FGM plates.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Chien H. Thai, P. T. Hung, H. Nguyen-Xuan, P. Phung-Van
Summary: In this paper, a new size-dependent meshfree method is introduced to analyze the free vibrations of magneto-electro-elastic (MEE) functionally graded (FG) nanoplates. The method combines the nonlocal strain gradient theory (NSGT), the higher-order shear deformation theory (HSDT), and meshfree method for the first time. The effective material properties of MEE-FG nanoplates are expressed using a power-law scheme. Numerical examples are given to investigate the effect of various parameters on the natural frequency of MEE-FG nanoplates.
ENGINEERING STRUCTURES
(2023)
Article
Engineering, Civil
Hongyu Zhang, Haifeng Bai, Zhongyi Zuo
Summary: This paper investigates the post-buckling behaviors of functionally graded porous magneto-electro-elastic cylindrical shell with initial geometric imperfection. Numerical examples demonstrate the effects of geometrical parameters, material properties, and external loads on the post-buckling equilibrium path, and discuss the imperfection sensitivity of the shell.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2022)
Article
Mechanics
Mohamed-Ouejdi Belarbi, Mohammed-Sid-Ahmed Houari, Ahmed Amine Daikh, Aman Garg, Tarek Merzouki, H. D. Chalak, Hicham Hirane
Summary: An efficient nonlocal finite element model was developed to study the bending and buckling behavior of functionally graded nanobeams. The new theory provides accurate transverse shear stress distribution without the need for correction factors, showing high accuracy and convergence rate. Detailed numerical studies validated the performance and reliability of the proposed model.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Shun-Qi Zhang, Ya-Fei Zhao, Xiang Wang, Min Chen, Ruediger Schmidt
Summary: The paper presents a finite element model coupled with magneto-electro-elastic fields for static and dynamic analysis of FG-MEE plates and shells. The model is validated and utilized for parametric study of FG-MEE structures with functionally graded electric and magnetic properties.
COMPOSITE STRUCTURES
(2022)
Article
Mathematics, Applied
Xinte Wang, Juan Liu, Biao Hu, Bo Zhang, Huoming Shen
Summary: This study investigates the wave propagation characteristics of porous nanoshells made of barium titanate and cobalt ferrite, with simulated porosity distribution and the use of nonlocal strain gradient theory and first-order shear deformation theory. Various parameters, such as dimensionless scale parameters and bi-directional functionally graded indices, are examined to understand their influence on wave propagation characteristics. The findings suggest that the dispersion relationship is related to the ratio of scale parameters, and the wave propagation characteristics depend on the bi-directional functionally graded indices.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2023)
Article
Mathematics, Applied
Shuai Wang, Jiajia Mao, Wei Zhang, Haoming Lu
Summary: This paper analyzes the nonlocal thermal buckling and postbuckling behaviors of a multi-layered graphene nanoplatelet reinforced piezoelectric micro-plate. The effects of external voltage, distribution and characteristic of graphene, and nonlocal parameter on the critical buckling behaviors and postbuckling equilibrium path are numerically analyzed.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2022)
Article
Mechanics
Ismail Esen, Ramazan Ozmen
Summary: This study models and investigates the free vibration, buckling behavior, and forced response of a porous functionally graded magneto-electro-elastic nanoplate. Various factors such as material composition, external electric and magnetic fields, temperature rise, porosity volume fraction, and load velocity influence the performance of the nanoplate.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Reza Asrari, Farzad Ebrahimi, Mohammad Mahdi Kheirikhah, Keivan Hosseini Safari
Summary: This article investigates the buckling characteristics of a functionally graded magneto-electro-thermo-elastic nanoshell based on the nonlocal strain gradient theory. The nanoshell is subjected to external fields, and the governing equations are derived and solved using Galerkin's approach, exploring the dependence of buckling behavior on various factors.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Ali Shokrgozar, Aria Ghabussi, Farzad Ebrahimi, Mostafa Habibi, Hamed Safarpour
Summary: In this study, the stability of a cylindrical microshell reinforced by graphene nanoplatelets under axial load is investigated, taking into account the viscoelastic foundation and nonlocal strain gradient theory. The research considers the effects of various boundary conditions and explores the impact of viscoelasticity, strain-stress size-dependent parameters, and other factors on the stability of the microshell. The results provide valuable insights for the design and fabrication of microactuators and microsensors.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali Dabbagh, Abbas Rastgoo, Farzad Ebrahimi
Summary: This paper analyzes the post-buckling behaviors of multi-scale hybrid nanocomposite beam-type structures manufactured from carbon fibers and carbon nanotubes, considering the influences of agglomeration phenomenon and initial deflection. Nonlinear governing equations are derived based on the combination of the virtual work's principle, von Karman hypothesis, and Euler-Bernoulli beam theory, solved analytically using Galerkin's method under different boundary conditions to show the significant impact of tailoring agglomeration parameters on stability response.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Ali Shariati, Farzad Ebrahimi, S. Hamed S. Hosseini, Ali Toghroli, S. Sedighi Bayrami
Summary: This article investigates the effect of nanoflow on the nonlinear dynamic instability of graphene sheets under parametric excitation. By combining nonlocal elasticity and nonlinear von Karman theories, the governing equation of motion is derived, and a nonlinear Mathieu-Hill equation is established to determine the bifurcations and regions of dynamic instability. The main conclusion is that nanoflow directly influences the amplitude response of the system. This study provides valuable information for future research in the field of nano electromechanical systems.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This study investigates the nonlinear free vibrations of porous functionally graded annular spherical shell segments and highlights the factors affecting the vibration characteristics.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Computer Science, Interdisciplinary Applications
Saeedeh Qaderi, Farzad Ebrahimi
Summary: In this paper, the vibration behavior of a composite plate reinforced with graphene platelets on a viscoelastic foundation in a thermal environment is examined using a higher-order shear deformation theory. The material properties of the composite plate reinforced with graphene platelets are determined using the Halpin-Tsai model. The Euler-Lagrange equations of the composite plate are obtained using Hamilton's principle and Navier's method is used to analyze and solve the problem. The effects of various parameters on the vibrational reaction of the structure, such as geometry, graphene platelet weight fraction, temperature changes, and viscoelastic foundation, are analyzed.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Farzad Ebrahimi, Ali Seyfi
Summary: This investigation analyzes the wave propagation of porous metal foam cylindrical shells and presents the variations of wave frequency and phase velocity under different parameters.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali Shariati, Saeedeh Qaderi, Farzad Ebrahimi, Ali Toghroli
Summary: In this study, the buckling analysis of polymer composite plates reinforced with graphene platelets (GPLs) in a thermal environment is investigated using the higher-order shear deformation plate theory. The material properties of the multilayer polymer composite plate are determined using the Halpin-Tsai model. Four different patterns of GPL distribution in the composite plate are considered. The Euler-Lagrange equations of the composite plate are obtained using Hamilton's principle and Navier's method is used to analyze and solve the problem. The results of this study are verified by comparison with previous works, and the effects of various parameters such as geometry, GPL weight fraction, and temperature changes on the critical buckling temperature are explored.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Ali Shariati, S. Sedighi Bayrami, Farzad Ebrahimi, Ali Toghroli
Summary: This article investigates the wave propagation of a sandwich composite beam with a tunable electro-rheological (ER) fluid core. The governing equations of motion are derived using Hamilton's principle, and an analytical solution is utilized to obtain the wave frequency and phase velocity through solving an eigenvalue problem. Additionally, the effects of different parameters, such as electric field, core-to-top layer thickness ratio, and ER core thickness, on the wave dispersion characteristics are investigated.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This article investigates the nonlinear vibration of variable thickness cylindrical panels made of multi-scale composite materials. The study defines the elastic properties of the materials and considers the changes in panel thickness. By using Jacobi elliptic functions to solve the governing equations, the exact frequency-amplitude curves of the panels are obtained. The study also examines the effects of various factors on the frequency-amplitude curves.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This research examines the nonlinear free vibration behavior of truncated conical shell segments made from multi-scale epoxy/carbon nanotube/fiberglass material. A 3D Mori-Tanaka micro-mechanic method is used to define the hybrid material properties by incorporating random dispersion of carbon nanotubes and parallel alignment of glass fibers. The study focuses on the effects of fiber volume, fiber directions, semi-vertex angle, CNT weight fraction, and CNT aspect ratio on the nonlinear free vibrations of the multi-scale truncated conical shell segments.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Mostafa Nouraei, Ali Seyfi
Summary: An analytical approach was developed to investigate wave propagation in GOP reinforced nanocomposite plates under thermal loading. The study derived governing differential equations and solved them analytically to obtain wave frequency and phase velocity. The influences of various parameters on wave propagation behavior were also covered.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi
Summary: This investigation focuses on the wave propagation analysis of porous metal foam on the Kerr substrate in a thermal environment using the refined higher-order plate theory. Different types of temperature rise and pore distributions are studied. The effects of various parameters on the wave frequency and phase velocity of the metal foam plate are presented in detail.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Mechanics
Farzad Ebrahimi, Ali Dabbagh, Abbas Rastgoo
Summary: This paper investigates the buckling problem of a multi-scale hybrid nanocomposite shell for the first time while the cylinder is supposed to be rested on an elastic substrate. The effects of nanofillers' agglomeration and the equivalent material properties of the carbon nanotube-reinforced (CNTR) nanocomposite are studied. The results provide insights into the failure behavior and propose strategies to enhance the buckling resistance of the nanocomposite structure.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Mohammad Reza Barati, Hossein Shahverdi
Summary: In this article, the nonlinear free/forced vibrations of a plate undergoing large deflection and moderate rotation were investigated using Jacobi elliptic functions. The results showed that the conventional approximate solutions based on single-harmonic assumption were inadequate, while the Jacobi elliptic function method considered higher-order harmonics and provided a more accurate solution.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)