scholarly journals Improved Stresses Analysis of a Functionally Graded Beam under Prestressed CFRP Plate

2018 ◽  
Vol 27 (1) ◽  
pp. 096369351802700 ◽  
Author(s):  
Samir Brairi ◽  
Bachir Kerboua ◽  
Ismail Bensaid
Keyword(s):  
Analytical Solution ◽  
Mechanical Load ◽  
Fe Analysis ◽  
Functionally Graded ◽  
Functionally Graded Beam ◽  
Interfacial Stresses ◽  
Geometrical Properties ◽  
Cfrp Plate ◽  
Practical Reality ◽  
New Research

In this paper, a new analytical solution is presented to predict the interfacial stresses of a functionally graded beam reinforced by a prestressed CFRP plate under thermo-mechanical load. A finite element (FE) analysis is also employed to validate the results of the analytical solution, the results from both models agreed very closely. Also, a parametric study is carried out in order to identify the effects of various material and geometrical properties on the magnitude of interfacial stresses. The presented results show that the interfacial stresses are highly concentrated at the end of the laminate, which can lead to a debonding at this location. Also, the material and geometrical properties have a significant impact on the magnitude of interfacial stresses. This new research approaches the practical reality of the structures in their environment by taking into consideration a combination of neglected terms by the other studies. Therefore, the results presented in this paper can serve as a benchmark for future analyses of functionally graded beams strengthened by prestressed Carbon fibre-rein-forced polymer (CFRP) plates and improve the rehabilitation, mechanical and corrosion resistance.

scholarly journals Improved Stresses Analysis of a Functionally Graded Beam under Prestressed CFRP Plate

2018 ◽  
Vol 27 (6) ◽  
pp. 096369351802700
Author(s):  
Samir Brairi ◽  
Bachir Kerboua ◽  
Ismail Bensaid
Keyword(s):  
Analytical Solution ◽  
Mechanical Load ◽  
Fe Analysis ◽  
Functionally Graded ◽  
Functionally Graded Beam ◽  
Interfacial Stresses ◽  
Geometrical Properties ◽  
Cfrp Plate ◽  
Practical Reality ◽  
New Research

In this paper, a new analytical solution is presented to predict the interfacial stresses of a functionally graded beam reinforced by a prestressed CFRP plate under thermo-mechanical load. A finite element (FE) analysis is also employed to validate the results of the analytical solution, the results from both models agreed very closely. Also, a parametric study is carried out in order to identify the effects of various material and geometrical properties on the magnitude of interfacial stresses. The presented results show that the interfacial stresses are highly concentrated at the end of the laminate, which can lead to a debonding at this location. Also, the material and geometrical properties have a significant impact on the magnitude of interfacial stresses. This new research approaches the practical reality of the structures in their environment by taking into consideration a combination of neglected terms by the other studies. Therefore, the results presented in this paper can serve as a benchmark for future analyses of functionally graded beams strengthened by prestressed Carbon fibre-rein-forced polymer (CFRP) plates and improve the rehabilitation, mechanical and corrosion resistance.

Analytical solution for bending analysis of functionally graded beam

2015 ◽  
Vol 19 (4) ◽  
pp. 829-841 ◽  
Author(s):  
Benoumrane Sallai ◽  
Lazreg Hadji ◽  
T. Hassaine Daouadji ◽  
E.A. Adda Bedia
Keyword(s):  
Analytical Solution ◽  
Functionally Graded ◽  
Functionally Graded Beam ◽  
Bending Analysis

scholarly journals Bending analysis of functionally graded beam with porosities resting on elastic foundation based on neutral surface position

2019 ◽  
Vol 13 (1) ◽  
pp. 33-45 ◽  
Author(s):  
Nguyen Thi Bich Phuong ◽  
Tran Minh Tu ◽  
Hoang Thu Phuong ◽  
Nguyen Van Long
Keyword(s):  
Analytical Solution ◽  
Elastic Foundation ◽  
Power Law ◽  
Coupling Effect ◽  
Functionally Graded ◽  
Transverse Load ◽  
Neutral Surface ◽  
Equilibrium Equations ◽  
Functionally Graded Beam ◽  
Bending Analysis

In this paper, the Timoshenko beam theory is developed for bending analysis of functionally graded beams having porosities. Material properties are assumed to vary through the height of the beam according to a power law. Due to unsymmetrical material variation along the height of functionally graded beam, the neutral surface concept is proposed to remove the stretching and bending coupling effect to obtain an analytical solution. The equilibrium equations are derived using the principle of minimum total potential energy and the physical neutral surface concept. Navier-type analytical solution is obtained for functionally graded beam subjected to transverse load for simply supported boundary conditions. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. The influences of material parameters (porosity distributions, porosity coefficient, and power-law index), span-to-depth ratio and foundation parameter are investigated through numerical results. Keywords: functionally graded beam; bending analysis; porosity; elastic foundation; bending; neutral surface. Received 10 December 2018, Revised 28 December 2018, Accepted 24 January 2019

scholarly journals Nonlinear post-buckling of thin FGM annular spherical shells under mechanical loads and resting on elastic foundations

2014 ◽  
Vol 36 (4) ◽  
pp. 291-306 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Vu Thi Thuy Anh ◽  
Dao Huy Bich
Keyword(s):  
Mechanical Load ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Spherical Shells ◽  
Nonlinear Buckling ◽  
Geometrical Properties ◽  
Elastic Foundations ◽  
Approximate Analytical Solutions ◽  
Post Buckling ◽  
The Stability

This paper presents an analytical approach to investigate the nonlinear buckling and post-buckling of thin annular spherical shells made of functionally graded materials (FGM) and subjected to mechanical load and resting on Winkler-Pasternak type elastic foundations. Material properties are graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. Equilibrium and compatibility equations for annular spherical shells are derived by using the classical thin shell theory in terms of the shell deflection and the stress function. Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form of load-deflection paths. An analysis is carried out to show the effects of material and geometrical properties and combination of loads on the stability of the annular spherical shells.

scholarly journals Interfacial stresses analysis of FGM porous structures bonded with FRP plates

2018 ◽  
Vol 149 ◽  
pp. 01094
Author(s):  
A. Chedad ◽  
N. Elmeiche
Keyword(s):  
Adhesive Joint ◽  
Functionally Graded ◽  
Neutral Axis ◽  
Porous Structures ◽  
Functionally Graded Beam ◽  
Interfacial Stresses ◽  
Axis Position ◽  
Fg Beam ◽  
Compatibility Principle ◽  
Deformation Compatibility

This paper presents a method for determining the interfacial stresses in an adhesive joint between a strengthening plate and a functionally graded beam. The beam is assumed to be isotropic with a constant poisson’s ratio. The present method is based on the deformation compatibility principle taking into account the neutral axis position of the FG beam. A power law for the distribution of the mechanical characteristic with a uniform and non-uniform porosity distribution is presented. A parametric study is presented to show the effect of some parameters on the distribution of stresses in the adhesive joint between the plat and the beam.

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