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Modified couple stress theory
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This paper represents the nonlinear bending analysis of a functionally graded porous (FGP) micro-plate resting on an elastic foundation through the modified couple stress theory and the Kirchhoff plate theory (KPT) together with the von-Kármán’s geometrical nonlinearity. The FGP micro-plate with even and uneven distributions of porosities are considered. Analytical solutions for the nonlinear bending is obtained.
11p
dathienlang1012
03-05-2024
0
0
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In this work, the free vibration analysis of Timoshenko microbeams made of the Functionally Graded Material (FGM) on the Winkler–Paternak elastic foundation based on the Modified Coupled Stress Theory (MCST) is investigated. Material characteristics of the beam vary throughout the thickness according to the power distribution and are estimated though Mori–Tanaka, Hashin–Shtrikman and Voigt homogenization techniques.
13p
dianmotminh02
03-05-2024
7
2
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This paper presents a finite element model for dynamic analysis of axial functionally graded (AFG) microbeams subjected to a moving mass. The material properties of the microbeams are considered to vary in the axial direction by a power-law function, and they are evaluated by Mori-Tanaka scheme.
12p
viohoyo
25-04-2024
2
2
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This paper presents the nonlinear static bending analysis of variable thickness microplates by using the finite element method and modified couple stress. The present theory and mathematical model are confirmed by comparing the numerical data with those of open literatures.
14p
viengels
25-08-2023
7
4
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Free vibration of a silicon microbeam in micro-electromechanical systems (MEMS) subjected to electrostatic and axial forces is studied in the framework of a sinusoidal shear deformation theory. A nonlinear finite element formulation based on the von Kármán nonlinear assumption and the modified couple stress theory (MCST) is formulated and employed to establish the discrete nonlinear governing equations for the microbeam.
13p
viannee
02-08-2023
7
3
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In this paper, vibration of Timoshenko microbeams with an axial force in microelectromechanical systems (MEMS) is studied for the first time by using a nonlinear finite element procedure. Based on the von Karm´ an geometric nonlinearity and the modified couple stress theory (MCST), a beam element is formulated by employing hierarchical functions to interpolate the displacement field.
17p
viwolverine
11-07-2023
7
2
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The size-dependent behavior of a silicon microbeam with an axial force in MEMS is studied using a nonlinear finite element procedure. Based on a refined thirdorder shear deformation theory and the modified couple stress theory (MCST), nonlinear differential equations of motion for the beam are derived from Hamilton’s principle, and they are transferred to a discretized form using a two-node beam element.
13p
viwolverine
11-07-2023
3
2
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The size dependent large displacement behavior of planar microbeams and microframes is studied in this paper using a corotational beam element. To account for the size effect, the modified couple stress theory (MCST) is employed in conjunction with Euler-Bernoulli beam theory in deriving the internal force vector and the tangent stiffness matrix of the beam element.
16p
viwolverine
11-07-2023
4
2
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Geometrically nonlinear free vibration of microbeams partially supported by a threeparameter nonlinear elastic foundation is studied in this paper. Equations of motion based on the modified couple stress theory (MCST) and a refined third-order shear deformation beam theory are derived using Hamilton’s principle, and they are solved by a finite element formulation.
16p
vidudley
20-02-2023
2
2
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The problem of thermoelastic nanoscale beam based on a modified couple stress theory with diffusion subjected to ramp type heating is investigated. The Laplace transform technique and eigen value approach are applied to solve the equations which are written in the dimensionless form.
14p
tohitohi
19-05-2020
15
1
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