Journal ArticleDOI
On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory
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In this article, Navier-type semi-analytical solutions are obtained based on polynomial type fifth order shear and normal deformation theory for simply supported FG sandwich beams curved in elevation.Abstract:
This article presents the static analysis of FG sandwich beams curved in elevation. Navier-type semi-analytical solutions are obtained based on polynomial type fifth order shear and normal deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are graded in z-direction according to the power-law distribution. The present theory accounts for a fifth-order distribution of axial displacement and fourth-order distribution of transverse displacement. The present theory considers the effect of thickness stretching and gives a realistic variation of transverse shear stress through the thickness of the beam. The governing equations are obtained within the framework of the principle of virtual work. Semi-analytical static solutions for the simply supported FG sandwich beams curved in elevation are obtained using Navier’s technique. The beam is subjected to uniformly distributed load. The non-dimensional numerical values for displacements and stresses are obtained for various power-law index and thickness of the core. The present results are found in good agreement with previously published results.read more
Citations
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Journal ArticleDOI
A review of the analysis of sandwich FGM structures
TL;DR: A detailed study has been carried out regarding the application of different methods and theories available in the literature for analyzing sandwich FGM structures under different loading conditions and will set a benchmark for future studies for carrying out further research in a similar direction.
Journal ArticleDOI
On the finite element analysis of functionally graded sandwich curved beams via a new refined higher order shear deformation theory
Mohamed-Ouejdi Belarbi,Mohammed Sid Ahmed Houari,Hicham Hirane,Ahmed Amine Daikh,Stéphane Bordas,Stéphane Bordas +5 more
TL;DR: In this article, a novel refined shear deformation beam theory is proposed and applied, for the first time, to investigate the bending behavior of functionally graded (FG) sandwich curved beam.
Journal ArticleDOI
On the finite element analysis of functionally graded sandwich curved beams via a new refined higher order shear deformation theory
TL;DR: In this article , a novel refined shear deformation beam theory is proposed and applied, for the first time, to investigate the bending behavior of functionally graded (FG) sandwich curved beam.
Journal ArticleDOI
A three-unknown refined shear beam element model for buckling analysis of functionally graded curved sandwich beams
Mohamed-Ouejdi Belarbi,Aman Garg,Mohammed-Sid-Ahmed Houari,Hicham Hirane,Abdelouahed Tounsi,Abdelouahed Tounsi,Abdelouahed Tounsi,H. D. Chalak +7 more
TL;DR: In this paper, the buckling analysis of functionally graded (FG) curved sandwich beams using an effective and simple three-unknown refined shear theory was focused on the buckled analysis of FG curved sandwich beam using a single layer and two kinds of sandwich beams.
Journal ArticleDOI
On the static deformation and frequency analysis of functionally graded porous circular beams
TL;DR: In this paper , the Navier type closed-form solutions are obtained for both static and vibration problems within the framework of the higher-order hyperbolic circular beam theory considering the effects of transverse shear deformation and rotary inertia.
References
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Journal ArticleDOI
LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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An elasticity solution for functionally graded beams
TL;DR: In this article, an elasticity solution for a functionally graded beam subjected to transverse loads is obtained, where Young's modulus of the beam is assumed to vary exponentially through the thickness, and the Poisson ratio is held constant.
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Elastic buckling and static bending of shear deformable functionally graded porous beam
TL;DR: In this paper, the elastic buckling and static bending analysis of shear deformable functionally graded (FG) porous beams based on the Timoshenko beam theory is presented, where the elasticity moduli and mass density of porous composites are assumed to be graded in the thickness direction according to two different distribution patterns.
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Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature
TL;DR: A critical review of literature on bending, buckling and free vibration analysis of shear deformable isotropic, laminated composite and sandwich beams based on equivalent single layer theories, layerwise theories, zig-zag theories and exact elasticity solution is presented in this paper.
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On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results
TL;DR: In this paper, the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates is presented and compared with other higher order shear deformation theories.