Article
Engineering, Multidisciplinary
Behrouz Karami, Mergen H. Ghayesh
Summary: This work presents a study on the vibrations of sandwich microshells with porous functionally graded face sheets, considering the in-surface curvilinear motions. The motion equations are derived using the Hamilton principle with a curvilinear framework for the modified couple stress (MCS) scheme. The vibration modes and natural frequencies are obtained numerically, and the effects of different layer arrangements, material compositions, and porosity-type imperfections are investigated. The results are verified through comparison with an ANSYS model and other simplified versions.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Mathematics, Applied
Fatemeh Abbaspour, Hadi Arvin, Yaser Kiani
Summary: The study investigates mechanical buckling of graphene reinforced composite laminated plates under different load conditions and boundary conditions, considering the temperature dependence and anisotropy of the material properties. The critical buckling load is influenced by parameters such as elastic foundation, temperature, layup scheme, and graphene distribution pattern. Elastic foundation has a smaller impact on critical shear buckling load compared to uniaxial and biaxial mechanical loads, with the highest load observed in the [0](10) layup scheme.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2022)
Article
Mechanics
V Kumar, S. J. Singh, V. H. Saran, S. P. Harsha
Summary: This paper presents a study on the free vibration analysis of tapered Functionally Graded Material (FGM) plates, using FSDT and HSDT models for comparison, with the finding that the Pasternak foundation effect dominates over the Winkler foundation. The governing equations are obtained through Hamilton's principle, and solutions are derived using the Galerkin-Vlasov method.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Computer Science, Interdisciplinary Applications
F. Attar, R. Khordad, A. Zarifi
Summary: The free vibration of single-layered graphene sheet has been analyzed using nonlocal modified couple stress theory. The study reveals that the nonlocal and length scale parameters have a significant impact on the frequency ratios.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2022)
Article
Construction & Building Technology
Mohammad Rezaiee-Pajand, Emad Sobhani, Amir R. Masoodi
Summary: This article focuses on predicting the natural frequencies of conical shell structures made of Functionally Graded Material (FGM) by proposing a novel exponential pattern for material properties distribution and using Generalized Differential Quadrature Method (GDQM) for verification and analysis. Various types of boundary conditions and modifications for continuity conditions are considered, with the study of geometric and material parameters through numerical analysis.
STEEL AND COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Pooriya Shahali, Hassan Haddadpour, Saeed Shakhesi
Summary: This study uses computational methods to investigate the natural frequencies, loss factors, and mode shapes of a sandwich cylinder with moderately thick functionally graded face sheets and an electrorheological fluid core. The results provide important insights into the effects of material and structural parameters on these properties.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Farzin Sha'bani, Samrand Rash-Ahmadi
Summary: In this paper, the dependence of the length scale parameter on the dimensions of a graphene sheet is investigated. The results show that understanding the buckling behavior of nanostructures requires considering size dependence parameters such as length scale and mechanical properties.
Article
Engineering, Aerospace
Xuan-Bach Bui, Trung-Kien Nguyen, Armagan Karamanli, Thuc P. Vo
Summary: This paper examines the static and vibration analysis of functionally graded sandwich thin-walled microbeams using the modified couple stress theory. The analysis results show that the deflections and natural frequencies of the microbeams are greatly influenced by the material distribution and size parameters.
AEROSPACE SCIENCE AND TECHNOLOGY
(2023)
Article
Engineering, Mechanical
A. Ghorbanpour Arani, S. A. Jamali
Summary: This research investigates the vibration analysis of a cylindrically curved sandwich plate rested on Winkler-Pasternak foundation, deriving constitutive equations for different layers and proposing an analytical approach to solve the coupled equations. It is observed that increasing the volume fraction of carbon nanotubes in face sheets enhances the stability of the electro-rheological sandwich plate, which can be utilized in designing smart structures in various fields such as military, aviation, marine, and automotive industries.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2021)
Article
Mechanics
Chunwei Zhang, Arameh Eyvazian, Mohammad Alkhedher, Mamdooh Alwetaishi, N. Ameer Ahammad
Summary: The current study focuses on the mechanical buckling analysis of a three-layered microplate consisting of honeycomb structures sandwiched between two piezoelectric face sheets. The study considers the effective mechanical properties of the honeycomb core and the influence of geometric specifications. The findings have importance in designing and manufacturing more applicable structures and smart devices.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Composites
Nguyen Thi Phuong, Vu Hoai Nam, Nguyen Thoi Trung, Vu Minh Duc, Nguyen Van Loi, Nguyen Duc Thinh, Phan Thanh Tu
Summary: This article presents the nonlinear buckling and postbuckling analysis of functionally graded graphene-reinforced composite (FG-GRC) laminated toroidal shell segments under external pressure, elastic foundations, and thermal environments. The study explores the effects of graphene volume fraction, distribution types, geometrical properties, elastic foundation, and thermal environments on the linear and nonlinear buckling and postbuckling behaviors.
JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS
(2021)
Article
Engineering, Mechanical
Di Mu, Keyi Wang, Haisheng Shu, Jiahao Lu
Summary: In this study, a novel local resonant metamaterial (LRM) beam with elastic foundation is proposed and its bandgap characteristics and the effects of structural parameters are investigated. Experimental results validate the theoretical findings, and three methods for bandgap widening are proposed. This research provides guidance for low and ultra-low frequency broadband flexural waves and vibration control.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Mechanics
Amirhossein Omidi Soroor, Mojtaba Asgari, Hassan Haddadpour
Summary: The free vibration properties of a sandwich beam with axially graded facings and a magnetorheological fluid core are studied using Euler-Bernoulli and Timoshenko beam theories. The Rayleigh-Ritz method is used to discretize the problem, and the approximated complex eigenmodes method is implemented for numerical solution of the resulting nonlinear eigenvalue problem. The effects of multiple parameters on the free vibration properties, including facings' material distribution, functionally graded material's gradient index, boundary conditions, constraining and core layers' thickness, and magnetic field effect, are thoroughly studied. The obtained results reveal the significant impact of these parameters on the frequency and loss factor of the system.
Article
Mechanics
X. X. Wang, J. G. Yu, B. Zhang, L. Elmaimouni, X. M. Zhang, X. H. Wang
Summary: Based on the modified couple stress theory, this study investigates the Lamb wave characteristics in functionally graded one-dimensional hexagonal quasi-crystal nanoplates. The governing equations of the phonon and phason fields are derived, and the influences of size effect, phonon-phason coupling effect, and gradient field on the wave characteristics are analyzed.
Article
Engineering, Civil
Chih-Ping Wu, Yi-An Lu
Summary: In this paper, we develop a Hermite-family C1 finite layer method based on the consistent couple stress theory for analyzing the free vibration of a simply-supported, exponentially graded piezoelectric microplate. The method divides the microplate into finite microlayers and uses Fourier functions and Hermite polynomials to interpolate the variations of primary variables. The accuracy and convergence rate of the method are evaluated by comparing with benchmark solutions. Additionally, we examine and discuss several factors that influence the free vibration characteristics of the piezoelectric microplate.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mechanics
Maryam Lori Dehsaraji, Mohammad Arefi, Abbas Loghman
Summary: This paper investigates the buckling analysis of functionally graded piezoelectric nanoshell by considering the higher-order shear and normal deformation theory and thickness stretching effect. The effects of axial load, applied electric potential, and thermal loads are also studied. The results of the analysis provide important insights for the design and application of related materials.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
H. D. Chalak, A. M. Zenkour, Aman Garg
Summary: This study aims to analyze the free vibration of functionally graded single-walled carbon nanotube-reinforced composite (FG-CNTRC) beams under hygro-thermal conditions. The C-0 finite element-based higher-order zigzag theory is used, and five different graded beams are studied. The results show that stresses at higher mode of vibration are more affected by temperature or moisture concentration, and the stress distribution is widely influenced by the gradation law and temperature or moisture values.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Ashraf M. Zenkour, Hela D. El-Shahrany
Summary: In this study, the vibration response and damping behavior of a multilayered composite plate with viscoelastic faces and homogenous core were analyzed, aiming to optimize the design of composite structural systems and accurately predict the vibration behavior under thermal/hygrothermal environments. The results showed that by combining passive and active strategies, the control systems of structural applications can be greatly improved.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Computer Science, Interdisciplinary Applications
Niloofar Adab, Mohammad Arefi
Summary: This paper investigates the dynamic characteristics of microconical sandwich shells. The study shows that the natural frequencies of the microshells in various vibrational modes are influenced by different parameters.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Nguyen Chi Tho, Do Van Thom, Pham Hong Cong, Ashraf M. Zenkour, Duc Hong Doan, Phung Van Minh
Summary: This study uses the third-order shear deformation theory and phase-field theory to model the free vibration response and static bending of laminated composite plates with just a core layer fracture. It integrates the finite element method with the phase-field theory to model the appearance of a fracture in a portion of the plate thickness. The results show surprising phenomena, such as minimal changes in crack length and plate properties, making it difficult to detect this kind of flaw.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
A. Garg, T. Mukhopadhyay, M. O. Belarbi, H. D. Chalak, A. Singh, A. M. Zenkour
Summary: Available shear deformation theories (SDTs) have their own merits and demerits. Among SDTs, first-order shear deformation theory (FSDT) and higher-order shear deformation theories (HSDT) are widely used for LCS beams analysis. However, they cannot predict the continuation of transverse shear stresses at interfaces across the thickness of the LCS beams. This study aims to transform the stress variations obtained from FSDT to 3D Elasticity solutions using Gaussian Process Regression (GPR) based surrogate model in order to predict the variation of transverse normal stresses across the thickness accurately and efficiently.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Mechanical
Ashraf M. Zenkour, Hela D. El-Shahrany
Summary: In this study, vibration analysis of adaptive sandwich plates under hygrothermal loads are performed. The influences of various parameters on the hygrothermal vibration characteristics are investigated, such as thickness ratio, aspect ratio, viscoelastic to magnetostrictive layer thickness ratio, modes, stiffness and damping coefficients, lamination schemes, magnitude of the feedback coefficient, location of the magnetostrictive layers, viscoelastic structural damping, temperature rise, and moisture concentration. The findings show that the vibration characteristics are sensitive to temperature and humidity concentrations. Considering these observations, the design of smart structural applications that can control vibration under such environmental conditions may be facilitated.
ACTA MECHANICA SINICA
(2023)
Article
Engineering, Multidisciplinary
Ashraf M. Zenkour, Hela D. El-Shahrany
Summary: In this study, smart Terfenol-D actuating layers are used to control composite viscoelastic beams with homogenous faces under thermal/hygrothermal environmental conditions. A three-parameter Kerr's foundation is employed to reduce system deflections. The cross-ply case of the structural layers is considered with simply supported conditions. The distributions of thermal/hygrothermal loadings are assumed to vary through the thickness direction of the beam. Analytical computations, tabular displays, and graphical illustrations are used to study the vibration damping process of the presented smart sandwich beam with important structure-dependent design parameters and environmental conditions variation.
JOURNAL OF ENGINEERING MATHEMATICS
(2023)
Article
Chemistry, Physical
Ashraf M. Zenkour, Tareq Saeed, Amal M. Aati
Summary: In this article, a mathematical analysis of thermoelastic skin tissue is conducted using a refined dual-phase-lag (DPL) thermal conduction theory that accounts for multiple time derivatives. The study examines the effects of mechanical clamping, ramp-type heating, and temperature distribution on the field variables of temperature, displacement, dilatation, and stress. The findings suggest that the refined DPL bioheat conduction model can predict temperature accurately and is consistent with existing generalized thermoelastic theories.
Article
Mathematics
Ashraf M. Zenkour, Tareq Saeed, Khadijah M. Alnefaie
Summary: Based on the Green-Lindsay generalized thermoelasticity theory, this paper proposes a new refined higher-order time-derivative thermoelasticity model. The model considers a thinner one-dimensional skin tissue with its inner surface free of traction and without any temperature increase. The heating of the skin tissue's bounding surface follows a ramp-type heating. The governing equations of the proposed model are derived, and the problem is solved using the Laplace transform and the inverse Laplace transform with Tzuo's method. Numerical results are obtained for the field quantities, and the current model is compared with two different theories of thermoelasticity to analyze the effects of various parameters on thermomechanical waves through the skin tissue.
Article
Mechanics
Quoc-Hoa Pham, Van Ke Tran, Trung Thanh Tran, Van Chinh Nguyen, Ashraf M. Zenkour
Summary: This article develops a novel finite element formulation based on nonlocal theory to analyze the vibration of viscoelastic orthotropic nanoplates resting on the variable viscoelastic foundation (VEF). The mechanical properties of the nanoplate are assumed to be viscoelastic orthotropic according to Kelvin's model. The variable VEF consists of two layers: a shear layer with constant stiffness, and the other layer is described as a system composed of alternating damping and springs, with variations only in the x-axis. Motion equations of the nanoplates are established using Hamilton's principle, a refined higher-order shear deformation plate theory (HSDT), and nonlocal theory. The results are verified through reliable publications, and factors influencing the vibration of orthotropic nanoplates resting on the variable VEF are discussed.
COMPOSITE STRUCTURES
(2023)
Article
Mechanics
B. Amieur, M. Djermane, A. M. Zenkour, F. Hammadi
Summary: One of the most important aspects in the dimensioning of structural calculations is the study of static or dynamic stability, which can be approached through different methods such as static buckling, parametric resonance, and dynamic buckling.The present work focuses on dynamic stability of functionally graded material shell structures, using dynamic buckling criteria. The objective is to determine the critical dynamic load of FG structures composite type in the dynamic case, using phase plane and motion equation criteria. Different mechanical properties are considered as continuous functions through-thickness direction, according to the volume fraction of the constituents using a simple power law distribution. The effects of variations in volume fractions and shell geometrical parameters are studied. Convergence tests and comparison studies are conducted to establish the efficiency of the proposed model.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
M. Ellali, M. Bouazza, A. M. Zenkour
Summary: This paper presents an analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler-Pasternak foundation. The investigation is conducted using nonlocal elasticity theory and a new four-unknown higher-order displacement theory with indeterminate integral terms. The frequency relations of FG nanoplates are obtained for different conditions using Hamilton's principle and Navier's method to solve an eigenvalue problem. The obtained results are compared with recent research on the frequency and phase velocity of wave propagation in FG nanoplates.
PHYSICAL MESOMECHANICS
(2023)
Article
Construction & Building Technology
Masoud Kiani, Mohammad Arefi
Summary: The nonlocal strain gradient theory is developed to analyze the static bending of graphene nanoplatelets reinforced with the nanoplate. The nanoplate is subject to thermo-mechanical loads and is supported by an elastic foundation. The Halpin-Tsai model is used to compute the impressive characteristics of the composite material. Various distributions, including UD, FG-O, and FG-X, are proposed. The equations are derived based on the virtual work and sinusoidal shear and normal deformation theory (SSNDT). Navier's solution is applied to solve these equations, and the effects of GPL weight fraction, temperature parameters, distribution pattern, and foundation parameters are presented and discussed.
ADVANCES IN CONCRETE CONSTRUCTION
(2023)
Article
Construction & Building Technology
Majid Amiri, Abbas Loghman, Mohammad Arefi
Summary: This paper investigates the creep analysis of a plate made of Al-SiC functionally graded material using Mendelson's method. The mechanical and thermal material properties, except Poisson's ratio, are assumed to vary along the thickness direction based on the volume fraction of reinforcement and thickness. The basic relations of the plate are derived using Love-Kirchhoff plate theory, and an elastic solution is obtained to initiate creep analysis. Norton's equation is used to demonstrate the creep behavior based on experimental results for Al-SiC functionally graded material. A linear temperature distribution is assumed along the thickness direction. The history of stresses, strains, and displacements over a long time is derived using a successive elastic solution based on Mendelson's method to predict damage to the plate due to various loadings and material composition.
ADVANCES IN CONCRETE CONSTRUCTION
(2023)