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Nonlocal Elastic Theory
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In this study two types of MEE plates, namely BaTiO3 and CoFe2O4 were considered. The basic equations are derived using classical plate theory with nonlocal stress theory and are solved using the Galerkin method and Runge-Kutta method.
13p
viambani
18-06-2024
1
1
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In this paper, the free vibration of a bi-directional functionally graded (2D-FG) nanobeams is investigated by the finite element method. Nanobeams are made of two kinds of porous materials. The material properties of 2D-FG nanobeams are assumed to vary in both axial and thickness directions according to a power law . Based on Eringen's nonlocal elasticity theory, the governing equations of motion are derived.
10p
dathienlang1012
03-05-2024
0
0
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In this study, the nonlocal elasticity theory is applied to analyze the free vibration of the functionally graded nanobeams. The novelty of the present study is that the classical nonlocal elasticity theory has been modified to take into account the variation of the nonlocal parameters through the thickness of the functionally graded. nanobeams.
10p
dathienlang1012
03-05-2024
1
0
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The article "Static behavior of FGP half-annular nanoplates resting on elastic foundation using nonlocal elasticity theory" presents an algorithm finite element for static bending analysis of the functionally graded porous (FGP) half-annular nanoplate resting on the elastic foundation (EF) using nonlocal elasticity theory. The FGP materials with two-parameter are the volume fraction index (k) and the porosity volume fraction (5) in two cases of even and uneven porosity. The EF includes Winkler-stiffness (k₁) and Pasternak- stiffness (k₂).
9p
dathienlang1012
03-05-2024
4
0
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The paper "Nonlinear vibration of functionally graded porous micro-beams resting on elastic foundation" presents the analysis of nonlinear vibration of functionally graded porous (FGP) micro-beams resting on an elastic foundation. The Euler-Bernoulli beam theory (EBT) and the nonlocal strain gradient theory (NSGT) are considered to establish the equations of motion of the micro-beam. The material properties of the micro-beam are assumed to be changed continuously along thickness direction according to simple power-law distribution.
9p
dathienlang1012
03-05-2024
1
0
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This article presents a finite element method for static bending analysis of the functionally graded porous (FGP) L-shape nanoplate resting on the elastic foundation (EF) using the nonlocal elasticity theory.
9p
vimarillynhewson
02-01-2024
12
2
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This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM). FGM characteristics vary nonlinearly throughout the height of the beam element.
19p
viisac
15-09-2023
11
3
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This article presents an application of finite element algorithm for static bending analysis of the functionally graded porous (FGP) annular nanoplate resting on the elastic foundation (EF) using nonlocal elasticity theory.
10p
viengels
25-08-2023
4
3
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In this paper, the free vibration of twodimensional functionally graded (2D-FG) sandwich nanobeam is investigated by the finite element method. The material properties of 2D-FG sandwich nanobeam are assumed to vary in both axial and thickness directions according to a power law. Based on Eringen's nonlocal elasticity theory, the governing equations of motion are derived.
7p
visirius
18-01-2023
4
2
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Based on nonlocal strain gradient theory approach, we have analyzed the nonlinear dynamic response and vibration of sandwich thick plates with functionally graded (FG) face sheets and FG porous core subjected to mechanical, thermal and blast loads on elastic foundations.
15p
vimelindagates
18-07-2022
12
3
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In this paper, the nonlocal elasticity theory is applied to study the propagation of plane wave and Rayleigh-type surface wave in an incompressible, rotating and transversely isotropic material. The governing equations of motion for an incompressible, rotating, transversely isotropic and nonlocal elastic medium are specialized for a plane. The medium is assumed rotating about an axis perpendicular to the plane. The transverse isotropy axis is taken perpendicular to the surface.
16p
inception36
30-11-2021
8
1
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Vibration analysis of functionally graded nano beams with different boundary conditions is presented in this paper. The first-order shear deformation theory and nonlocal elasticity theory are used to incorporate size small effect of functionally graded nano beams. Ritz-type analytical solution is used to solve the characteristic equations of motion for different boundary conditions.
8p
viwendy2711
05-10-2021
16
1
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This paper presents free vibration analysis of functionally graded (FG) porous nanoplates based on isogeometric approach. Based on a modified power-law function, material properties are given. The nonlocal elasticity is used to capture size effects. According to a combination of the Hamilton’s principle and the higher order shear deformation theory, the governing equations of the porous nanoplates are derived.
11p
angicungduoc5
13-06-2020
16
0
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In the present paper, the differential transformation method is employed to develop a semi-analytical solution for free transverse vibration of single-walled carbon nanotube (SWCNT) with arbitrary boundary conditions.
14p
tohitohi
19-05-2020
10
0
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Frequency Shift of Carbon-Nanotube-Based Mass Sensor Using Nonlocal Elasticity Theory
5p
dauphong14
11-02-2012
45
6
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