Article
Mechanics
Yu-fang Zheng, De-yong Qu, Li-chuan Liu, Chang-ping Chen
Summary: In this study, a nonlinear bending model of the nonlocal three-layer magneto-electro-elastic (MEE) laminated nanobeam resting on elastic foundation is established using Reddy's third-order shear deformation theory (RTSDT) and nonlocal elasticity theory. The model considers the geometrically nonlinear equations proposed by von Karman and also takes into account the effects of electric and magnetic potentials in the laminated nanobeam through Maxwell's magnetic-electro equations and boundary conditions. The governing equations are re-expressed in a dimensionless form and simplified using the Galerkin method. The study explores the effects of foundation parameters, nonlocal parameter, stacking sequence, external electric voltage and external magnetic potential on the bending behaviors of MEE laminated nanobeams.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2023)
Article
Mechanics
Mohammad Arefi, Marco Amabili
Summary: This paper investigates the three-dimensional magneto-electro-elastic bending and buckling analyses of three-layered doubly curved nanoshells based on nonlocal elasticity theory. The kinematic relations and governing equations are developed, and a parametric analysis is performed to examine the influence of various factors on the responses of the nanoshells.
COMPOSITE STRUCTURES
(2021)
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
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
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
Chemistry, Multidisciplinary
Masoumeh Soltani, Farzaneh Atoufi, Foudil Mohri, Rossana Dimitri, Francesco Tornabene
Summary: This study addresses the flexural-torsional stability of functionally graded nonlocal thin-walled beam-columns with a tapered I-section, using numerical methods to determine the buckling loads and influence of various parameters on the structural system. The results could serve as valid benchmarks for further computational validations of similar nanosystems.
Article
Computer Science, Interdisciplinary Applications
Farzad Ebrahimi, Mahsa Karimiasl, Abhinav Singhal
Summary: This article investigates the bending of magneto-electric-elastic nanobeams using nonlocal elasticity theory and parametric analysis. The study shows that boundary conditions, nonlocal parameters, and beam geometrical parameters significantly affect the deflection of nanoscale beams.
ENGINEERING WITH COMPUTERS
(2021)
Article
Acoustics
M. Ghassabi, F. Motaharifar, R. Talebitooti
Summary: This paper investigates the sound propagation through a two-layer sandwich plate coated with carbon nanotubes and a thin layer of magneto-electro-elastic materials. The governing equations for each layer are derived based on the three-dimensional elasticity theory, and the relationship between the motion equations and electric and magnetic potentials is established. The effective properties of the nanocomposite layer are determined using the rule of mixture. The results show that the addition of a thin coating layer significantly improves the sound insulation in the sandwich plate, and considering electromagnetic boundary conditions enhances the sound transmission loss in the stiffness region.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Multidisciplinary
Van Thuong Nguyen, Guan-Ting Chen, Chyanbin Hwu
Summary: A unified expression is established for the generalized two-dimensional linear anisotropic elastic, piezoelectric, and magneto-electro-elastic solids, simplifying the connection between these different materials. The boundary element method is extended to solve the problems of multibody contact involving any combination of these materials. The study successfully develops two boundary element methods for solving the generalized two-dimensional multibody contact problems.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Engineering, Multidisciplinary
Yiwen Ni, Jiabin Sun, Junlin Zhang, Zhenzhen Tong, Zhenhuan Zhou, Xinsheng Xu
Summary: An accurate buckling model is proposed for the MEE composite cylindrical shell under HTMEE loads, considering non-uniform pre-buckling effects. Nonlinear governing equations involving HTMEE multi-physical coupling effects are derived based on HSDT and von Karman geometrical nonlinearity. The critical buckling stresses and analytical buckling modes for both axisymmetric and non-axisymmetric buckling are obtained through the Galerkin method.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Chemistry, Multidisciplinary
Giovanni Tocci Monaco, Nicholas Fantuzzi, Francesco Fabbrocino, Raimondo Luciano
Summary: This work presents an analytical method for studying the vibrations and buckling behavior of nano-plates in a hygro-thermal environment. Nonlinear von Karman terms and strain gradient nonlocal theory are included in the analysis to consider the effects of nano-scale on magneto-electro-elastic plates, along with critical temperatures for vibrations and buckling problems under hygro-thermal loads.
Article
Engineering, Multidisciplinary
Denghui Qian, Jianchun Wang
Summary: This paper proposed a model of a locally resonant piezoelectric/elastic phononic crystal nanobeam, and found that the addition of springs can control the band structures through theoretical analysis and numerical calculation. The research has potential applications in actively controlling vibration propagation in the field of NEMS.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Engineering, Mechanical
Yousef Gholami, Reza Ansari, Raheb Gholami, Fatemeh Sadeghi
Summary: This paper develops a size-dependent nanoplate model to describe the free vibration and buckling behaviors of magneto-electro-thermo-elastic (METE) rectangular nanoplates. The model considers external electric voltage, external magnetic potential, and uniform temperature rise. The model has the advantages of not requiring a correction factor and being applicable to thick nanoplates. Numerical results show that the frequency and critical buckling load of nanoplates are mainly influenced by magneto-electro-mechanical loadings, while they are less affected by thermal loading.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Construction & Building Technology
Yu Song, Jiangyang Xu
Summary: The research analyzes the nonlinear stability behaviors of composite MEE nano-scale shells, finding that the stability behaviors depend on the percentages of the ingradients. The study also investigates the effects of nonlocality parameter, magnetic intensities, and electrical voltages on stability loads of the nanoshells.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Zheng Lyu, Ming Ma
Summary: This work focuses on the nonlinear dynamic response of a functionally graded magneto-electro-elastic (MEE) nanobeam. The interaction between the imperfect nanobeam and its multi-physical stimulus is numerically solved via a differential quadrature method. Simulation results demonstrate the significance of the MEE coupling effect for designing smart and advanced devices in aerospace and industrial applications.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Farzad Ebrahimi, Sepehr Bayrami Sedighi
Summary: In this paper, a sandwich composite plate with a tunable magneto-rheological (MR) fluid core was used to analyze wave propagation. The effects of magnetic field and core-to-top layer thickness ratio on the wave dispersion characteristics were investigated. The results showed that the magnetic field intensity was the most important factor in changing the wave dispersion characteristics, and increasing the core-to-top layer thickness ratio led to a decrease in wave frequency.
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
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
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, Ali Dabbagh
Summary: This study conducts a free oscillation analysis on shells made of multi-scale hybrid nanocomposites, focusing on the destructive effect of nanofiller agglomeration on the system's dynamics. The equivalent material properties of the hybrid nanocomposite are obtained through a bi-level micromechanical procedure. The influence of agglomerated carbon nanotubes (CNTs) on the stiffness of the nanocomposite is considered using the Eshelby-Mori-Tanaka method. The governing equations for the system are derived, and the natural frequencies are obtained using Galerkin's method. The study reveals that hybrid nanocomposite shells may experience resonance phenomenon in low-frequency range, especially when the impact of CNTs' aggregation is neglected.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi
Summary: This paper investigates the wave propagation analysis of multi-scale hybrid nanocomposite plates, taking into account the influence of nanoparticle aggregation. Micromechanical methods are used to calculate the effective material properties, while a refined shear deformation theory is implemented for motion relations. The governing equations are derived using the principle of Hamilton and solved analytically. The effects of various parameters on phase velocity and wave frequency are examined, showing that the mechanical response decreases when nanotubes are covered by clusters.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi
Summary: This paper mainly focuses on analyzing the wave propagation of sigmoid functionally graded (SFG) piezoelectric nanobeams on an elastic foundation using the nonlocal elasticity theory. The small-scale effect is considered by employing Eringen's nonlocal elasticity theory (ENET). Zinc oxide and lithium niobate are assumed to be the constituent materials of the nanoscale structure. The nonlocal governing equations of the piezoelectric nanobeam are derived using Hamilton's principle and the Euler-Bernoulli beam theory, and then solved analytically. The effects of various parameters on the wave frequency and phase velocity of the SFG piezoelectric nanobeam are examined and presented in a series of illustrations.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Physics, Multidisciplinary
M. S. H. Al-Furjan, Mostafa Habibi, Farzad Ebrahimi, Kianoosh Mohammadi, Hamed Safarpour
Summary: This paper investigates the wave propagation behavior of a high-speed rotating laminated nanocomposite cylindrical shell using classic, strain gradient, nonlocal and nonlocal strain gradient theories. The results show that wave number, angular velocity, and different types of laminated composites have a significant impact on the phase velocity of the nanocomposite structure.
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
Physics, Multidisciplinary
Farzad Ebrahimi, Ali Seyfi, Mostafa Nouraei, Parisa Haghi
Summary: The study investigates wave propagation in simply supported functionally graded beams exposed to magneto-thermal environments and embedded on two-parameter elastic foundation. The influence of various parameters on wave frequency and phase velocity of the beams is compared and thoroughly discussed to highlight key findings.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Computer Science, Interdisciplinary Applications
M. S. H. Al-Furjan, Seyedeh Yasaman Bolandi, Mostafa Habibi, Farzad Ebrahimi, Guojin Chen, Hamed Safarpour
Summary: This study presents critical angular velocity, critical velocity of fluid flow, and vibration control analysis of a rotating multi-hybrid nanocomposite reinforced cylindrical microshell. By utilizing a non-classical model, various factors such as Coriolis and centrifugal effects, strains and stresses, and external voltage are considered. The study also applies the rule of mixtures and a modified Halpin-Tsai theory for elasticity modulus, and utilizes a Proportional-Derivative (PD) controller for sensor output control.
ENGINEERING WITH COMPUTERS
(2022)
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)
Article
Engineering, Chemical
Mohammad Reza Barati, Hossein Shahverdi, Behzad Hakimelahi
Summary: The research examines the nonlinear free/forced vibrational behavior of a sandwich plate with graphene platelet reinforced face sheets, proposing the use of GPL-reinforced nanocomposites to enhance mechanical performance. The study finds that the dispersion type, amount, and thickness of GPL in the face sheets can affect the free and forced vibrations of the honeycomb sandwich panel.
TRANSPORT IN POROUS MEDIA
(2022)
Article
Physics, Multidisciplinary
Mohammad Reza Barati, Hossein Shahverdi
Summary: This paper obtained the material properties of architected meta-material plates with different cell patterns through numerical calibration. An artificial neural network was developed to derive a meta-material shape factor for all possible cell geometries. Finite element simulations confirmed the theoretical model and parameter studies examined the influences of the periodic design patterns.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)