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Content available remote Nonlinear vibration analysis of sandwich plates with honeycomb core and graphene nanoplatelet‑reinforced face‑sheets
Mohammad‑Rezaei Bidgoli E., Arefi Mohammad
Archives of Civil and Mechanical Engineering
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2023
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Vol. 23, no. 1
art. no. e56, 2023
EN
This paper studies nonlinear vibration analysis of a graphene nanoplatelets’ composite sandwich. The core and two face-sheets of composite sandwich plate are fabricated from a honeycomb material and graphene nanoplatelet (GNP) reinforcements, respectively. Displacement field of sandwich plate is developed based on first-order shear deformation theory. Geometric nonlinearity is accounted in the constitutive relations based on von-Karman assumptions. After derivation of the governing partial differential motion equations through Hamilton’s principle, Galerkin’s approach is used to reduce them into a nonlinear equation of motion in terms of transverse defection. The nonlinear frequency is found based on linear frequency and initial conditions, analytically. The nonlinear-to-linear frequency ratio is computed based on significant input parameters of honeycomb structure and graphene nanoplatelets such as thickness-to-length and thickness-to-height ratios, angle of honeycomb, various distribution, weigh fraction and geometric characteristics of graphene nanoplatelets. Before presentation of full numerical results, the comprehensive comparative study is presented for verifcation of the derivation and solution method.
2
Content available remote Electro-magneto-mechanical formulation of a sandwich shell subjected to electro-magneto-mechanical considering thickness stretching
Arefi Mohammad, Mannani Shayan, Collini L.
Archives of Civil and Mechanical Engineering
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2022
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Vol. 22, no. 4
art. no. e196, 2022
EN
Thickness stretching included formulation of a multi-layered doubly curved shell in small scale is studied in the present work. Out-of-plane normal strain is accounted in our formulation based on a higher-order theory. Based on this theory, the total transverse deflection is divided into three portions named as bending, shear and stretching parts. Transient formulation of the nanoshell is derived using Hamilton’s principle and nonlocal formulation. The natural frequencies of the nanoshell are obtained in terms of main input parameters, such as initial electric and magnetic potentials, nonlocal parameters, aspect ratio, radii ratio and foundation parameters.
3
Content available remote A successive approximation method for thermo-elasto-plastic analysis of a reinforced functionally graded rotating disc
Kholdi Mohsen, Saeedi Soheil, Moradi Sayed Ali Zargar, Loghman Abbas, Arefi Mohammad
Archives of Civil and Mechanical Engineering
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2022
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Vol. 22, no. 1
art. no e2, 2022
EN
Thermo-elasto-plastic analysis of a rotating disc made of Functionally Graded Materials (FGMs) is studied in this paper using Successive Approximation Method (SAM). The plane stress condition is assumed for formulation of the problem. After computation of effective material properties based on modified mixture rule, the governing equations are derived analytically and then is solved using the Differential Quadratic Method (DQM). After obtaining the displacements and stresses, the yield conditions are calculated by von-Mises failure criteria. The rotating disc is made of an Aluminum–Silicon Carbide functionally graded material. The plastic behavior of Aluminum is considered as strain hardening one. The effects of angular speed, percentage of ceramic particles, particle reinforcement power, and boundary conditions such as temperature gradient on the radial and tangential thermo-elasto-plastic strains, stresses, and equivalent stresses is investigated. The results show that the radial stresses through the disc are significantly less than tangential stresses, therefor the tangential stresses has a significant effect on the equivalent stress and yield conditions.
4
Content available remote Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory
Arefi Mohammad, Civalek O.
Archives of Civil and Mechanical Engineering
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2020
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Vol. 20, no. 1
310--326
EN
The aim of this present work is to study the higher-order modelling of a cylindrical nano-shell resting on Pasternak’s foundation based on nonlocal elasticity theory. Third-order shear deformation theory is developed for modelling the kinematic relations, and nonlocal elasticity theory is developed for size-dependent analysis. The principle of virtual work is applied to derive static governing equations. The solution is presented for simply supported boundary conditions in terms of various important parameters. The numerical results including lower- and higher-order longitudinal and radial displacements are presented in terms of nonlocal parameter, two parameters of Pasternak’s foundation and some dimensionless geometric parameters such as length-to-radius ratio and length-to-thickness ratio.
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