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Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach
loc tran
Computers & Structures, 2014
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Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique
Falguni s
In this paper the authors derive a higher-order shear deformation theory for modeling functionally graded plates accounting for extensibility in the thickness direction. The explicit governing equations and boundary conditions are obtained using the principle of virtual displacements under Carrera's Unified Formulation. The static and eigenproblems are solved by colloca-tion with radial basis functions. The efficiency of the present approach is assessed with numerical results including deflection, stresses, free vibration, and buckling of functionally graded isotropic plates and functionally graded sandwich plates.
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Isogeometric analysis of functionally graded plates using higher-order shear deformation theory
P. Phung-Van
Composites Part B: Engineering, 2013
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Isogeometric finite element analysis of functionally graded plates using a refined plate theory
S. Kulasegaram
ArXiv, 2013
We propose in this paper a novel inverse tangent transverse shear deformation formulation for functionally graded material (FGM) plates. The isogeometric finite element analysis (IGA) of static, free vibration and buckling problems of FGM plates is then addressed using a refined plate theory (RPT). The RPT enables us to describe the non-linear distribution of shear stresses through the plate thickness without any requirement of shear correction factors (SCF). IGA utilizes basis functions, namely B-splines or non-uniform rational B-splines (NURBS), which achieve easily the smoothness of any arbitrary order. It hence satisfies the C1 requirement of the RPT model. The present method approximates the displacement field of four degrees of freedom per each control point and retains the computational efficiency while ensuring the high accuracy in solution.
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Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
Romesh Batra
2005
The collocation multiquadric radial basis functions are used to analyze static deformations of a simply supported functionally graded plate modeled by a third-order shear deformation theory. The plate material is made of two isotropic constituents with their volume fractions varying only in the thickness direction. The macroscopic response of the plate is taken to be isotropic and the effective properties of the composite are derived either by the rule of mixtures or by the Mori–Tanaka scheme.
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Isogeometric analysis of functionally graded plates using a new quasi-3D shear deformation theory based on physical neutral surface
Behrooz Hassani
Composites Part B-engineering, 2017
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Analysis of functionally graded plates using higher order shear deformation theory
Guls taj
This work addresses a static analysis of functionally graded material (FGM) plates using higher order shear deformation theory. In the theory the transverse shear stresses are represented as quadratic through the thickness and hence it requires no shear correction factor. The material property gradient is assumed to vary in the thickness direction. Mori and Tanaka theory (1973) [1] is used to represent the material property of FGM plate at any point. The thermal gradient across the plate thickness is represented accurately by utilizing the thermal properties of the constituent materials. Results have been obtained by employing a C° continuous isoparametric Lagrangian finite element with seven degrees of freedom for each node. The convergence and comparison studies are presented and effects of the different material composition and the plate geometry (side-thickness, side–side) on deflection and temperature are investigated. Effect of skew angle on deflection and axial stress of the plate is also studied. Effects of material constant n on deflection and the temperature distribution are also discussed in detail.
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Two new refined shear displacement models for functionally graded sandwich plates
Ismail Mechab
Archive of Applied Mechanics, 2011
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Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory
Khalid El Bikri
Journal of Composites, 2013
The prime aim of the present study is to present analytical formulations and solutions for the buckling analysis of simply supported functionally graded plates (FGPs) using higher order shear deformation theory (HSDT) without enforcing zero transverse shear stresses on the top and bottom surfaces of the plate. It does not require shear correction factors and transverse shear stresses vary parabolically across the thickness. Material properties of the plate are assumed to vary in the thickness direction according to a power law distribution in terms of the volume fractions of the constituents. The equations of motion and boundary conditions are derived using the principle of virtual work. Solutions are obtained for FGPs in closed-form using Navier’s technique. Comparison studies are performed to verify the validity of the present results from which it can be concluded that the proposed theory is accurate and efficient in predicting the buckling behavior of functionally graded plates....
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Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory
Abdelouahed Tounsi
Chinese Journal of Aeronautics, 2011
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