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A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates
Steel and Composite Structures, 2016In this paper, a new simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded (FG) plates is developed. The significant feature of this formulation is that, in addition to including a sinusoidal variation of transverse shear strains through the thickness of the plate, it deals with only three unknowns ...
Mohammed Sid Ahmed Houari +3 more
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Structural Engineering and Mechanics, 2013
Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements ...
Abdelouahed Tounsi +2 more
exaly +2 more sources
Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements ...
Abdelouahed Tounsi +2 more
exaly +2 more sources
Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Baradaran
exaly +4 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Baradaran
exaly +4 more sources
Mechanics of Advanced Materials and Structures, 2016
ABSTRACTThis article presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single-walled boron nitride nanotubes (SWBNNTs). The surrounding elastic medium is simulated based on nonlinear Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the
Erfan Sadatshojaei +2 more
exaly +2 more sources
ABSTRACTThis article presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single-walled boron nitride nanotubes (SWBNNTs). The surrounding elastic medium is simulated based on nonlinear Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the
Erfan Sadatshojaei +2 more
exaly +2 more sources
Composites Part B: Engineering, 2014
Abstract The optimization of the sinusoidal higher order shear deformation theory (HSDT) for the bending analysis of functionally graded shells is presented in this paper for the first time. The HSDT includes the stretching effect and their shear strain shape functions (sin(mz) and cos(nz)) contain the parameters “m” and “n” that need to be selected ...
J.L. Mantari, C. Guedes Soares
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Abstract The optimization of the sinusoidal higher order shear deformation theory (HSDT) for the bending analysis of functionally graded shells is presented in this paper for the first time. The HSDT includes the stretching effect and their shear strain shape functions (sin(mz) and cos(nz)) contain the parameters “m” and “n” that need to be selected ...
J.L. Mantari, C. Guedes Soares
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Analysis of functionally graded plates using a sinusoidal shear deformation theory
Smart Structures and Systems, 2017This paper uses the four-variable refined plate theory for the free vibration analysis of functionally graded material (FGM) rectangular plates. The plate properties are assumed to be varied through the thickness following a simple power law distribution in terms of volume fraction of material constituents.
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International Journal of Applied Mechanics, 2017
In the present research, vibration and instability of axially moving viscoelastic micro-plate is investigated. Sinusoidal shear deformation theory (SSDT) is utilized due to its accuracy of polynomial functions than other plate theories. Based on Kelvin’s model, the viscoelastic structural properties of micro-plate are taken into consideration.
Ali Ghorbanpour Arani, Elham Haghparast
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In the present research, vibration and instability of axially moving viscoelastic micro-plate is investigated. Sinusoidal shear deformation theory (SSDT) is utilized due to its accuracy of polynomial functions than other plate theories. Based on Kelvin’s model, the viscoelastic structural properties of micro-plate are taken into consideration.
Ali Ghorbanpour Arani, Elham Haghparast
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Composites Part B: Engineering, 2012
Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and free vibration analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation ...
Neves A. M. A. +6 more
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Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and free vibration analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation ...
Neves A. M. A. +6 more
openaire +3 more sources
Mechanics of Advanced Materials and Structures, 2016
ABSTRACTIn this article various sinusoidal shear deformation theories are used for the buckling analysis of functionally graded sandwich plates. The theories may account for through-the-thickness deformations and/or zig-zag effect. The governing equations and boundary conditions are derived using the Principle of Virtual Work under a generalization of ...
Neves A. M. A. +6 more
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ABSTRACTIn this article various sinusoidal shear deformation theories are used for the buckling analysis of functionally graded sandwich plates. The theories may account for through-the-thickness deformations and/or zig-zag effect. The governing equations and boundary conditions are derived using the Principle of Virtual Work under a generalization of ...
Neves A. M. A. +6 more
openaire +2 more sources
Physica B: Condensed Matter, 2017
Abstract This research aims to investigate the influence of a longitudinal magnetic field on the dynamic response of single-layered graphene sheet (SLGS) resting on viscoelastic foundation based on the nonlocal sinusoidal shear deformation theory.
M H Jalaei, A Ghorbanpour Arani
exaly +2 more sources
Abstract This research aims to investigate the influence of a longitudinal magnetic field on the dynamic response of single-layered graphene sheet (SLGS) resting on viscoelastic foundation based on the nonlocal sinusoidal shear deformation theory.
M H Jalaei, A Ghorbanpour Arani
exaly +2 more sources