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.

scholarly journals Analysis of steel reinforced functionally graded concrete beam cross sections

2018 ◽  
Vol 195 ◽  
pp. 02031 ◽  
Author(s):  
Shota Kiryu ◽  
Ay Lie Han ◽  
Ilham Nurhuda ◽  
Buntara S. Gan
Keyword(s):  
Cross Sections ◽  
Iterative Procedure ◽  
Concrete Beam ◽  
Analytical Procedure ◽  
Functionally Graded ◽  
Neutral Axis ◽  
Mechanical Behaviors ◽  
Beam Structure ◽  
Axis Position ◽  
Concrete Materials

Owing to continuously changing strength moduli properties, functionally graded concrete (FGC) has remarkable advantages over the traditional homogeneous concrete materials regarding cement optimization. Some researchers have studied mechanical behaviors and production methodologies. Problems arise as to how to incorporate the effects of the non-homogeneity of concrete strengths in the analysis for design. For a steel Reinforced Functionally Graded Concrete (RFGC) beam structure, the associated boundary conditions at both ends have to be at the neutral axis position after the occurrence of the presumed cracks. Because the neutral axis is no longer at the mid-plane of the beam crosssection, an iterative procedure has to be implemented. The procedure is somewhat complicated since the strength of the beam cross section has to be integrated due to the non-homogeneity in concrete strengths. This paper proposes an analytical procedure that is very straightforward and simple in concept, but accurate in designing the steel reinforced functionally graded concrete beam cross-sections.

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.

scholarly journals A quasi-2D finite element formulation of active constrained-layer functionally graded beam

2021 ◽  
Author(s):  
Elena Miroshnichenko
Keyword(s):  
Equations Of Motion ◽  
Time Integration ◽  
Functionally Graded ◽  
Viscoelastic Layer ◽  
Element Formulation ◽  
Constrained Layer Damping ◽  
Functionally Graded Beam ◽  
Passive Element ◽  
Fg Beam ◽  
Active Constrained Layer

A functionally graded (FG) beam with an active constrained-layer damping (ACLD) treatment is modeled and analyzed. ACLD consists of a passive element, in the form of a viscoelastic layer bonded to the host structure, and an active constraining element which is represented by a piezoelectric fiber-reinforced composite (PFRC) laminate. It is assumed in the current formulation that the field variables are expressible as polynomials through the thickness of the beam and are cubically interpolated across the span. Hamilton's principle is used in the derivation of the equations of motion, which are solved using the Newmark time-integration method. The versatility of the formulation is demonstrated using different support mechanisms in the form of analysis of cantilevered, fixed-end partially-constrained and simply-supported beam cases. The effects of ply orientation in PFRC laminate and varying elastic modulus in the FG beam are also examined.

scholarly journals Nonlinear Analysis of a Functionally Graded Beam Resting on the Elastic Nonlinear Foundation

2014 ◽  
Vol 44 (2) ◽  
pp. 71-82 ◽  
Author(s):  
M. Arefi
Keyword(s):  
Differential Equation ◽  
Nonlinear Differential Equation ◽  
Beam Theory ◽  
Functionally Graded ◽  
Functionally Graded Beam ◽  
Nonlinear Foundation ◽  
Simply Supported ◽  
Nonlinear Responses ◽  
Fg Beam ◽  
Linear And Nonlinear

Abstract This paper evaluates the nonlinear responses of a function- ally graded (FG) beam resting on a nonlinear foundation. After derivation of fundamental nonlinear differential equation using the Euler-Bernouli beam theory, a semi analytical method has been used to study the response of the problem. The responses can be evaluated for both linear and nonlinear isotropic and FG beams individually. Adomians Decomposition and successive approximation methods have been used for solution of nonlinear differential equation. As numerical investigation, the beams with simply supported ends and linear and nonlinear foundations have been analyzed using this method.

scholarly journals A quasi-2D finite element formulation of active constrained-layer functionally graded beam

2021 ◽  
Author(s):  
Elena Miroshnichenko
Keyword(s):  
Equations Of Motion ◽  
Time Integration ◽  
Functionally Graded ◽  
Viscoelastic Layer ◽  
Element Formulation ◽  
Constrained Layer Damping ◽  
Functionally Graded Beam ◽  
Passive Element ◽  
Fg Beam ◽  
Active Constrained Layer

A functionally graded (FG) beam with an active constrained-layer damping (ACLD) treatment is modeled and analyzed. ACLD consists of a passive element, in the form of a viscoelastic layer bonded to the host structure, and an active constraining element which is represented by a piezoelectric fiber-reinforced composite (PFRC) laminate. It is assumed in the current formulation that the field variables are expressible as polynomials through the thickness of the beam and are cubically interpolated across the span. Hamilton's principle is used in the derivation of the equations of motion, which are solved using the Newmark time-integration method. The versatility of the formulation is demonstrated using different support mechanisms in the form of analysis of cantilevered, fixed-end partially-constrained and simply-supported beam cases. The effects of ply orientation in PFRC laminate and varying elastic modulus in the FG beam are also examined.

scholarly journals A Novel Approach to Elasto-Plastic and Plastic Finite Element Analysis of Functionally Graded Beams under Transverse Pressure Loading

2017 ◽  
Vol 1 (1) ◽  
pp. 1-13
Author(s):  
Davood Hashempoor ◽  
Rouhollah Talebitooti
Keyword(s):  
Strain Curve ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Functionally Graded Beam ◽  
Element Analysis ◽  
Nonlinear Part ◽  
Transverse Pressure ◽  
Novel Approach ◽  
Fg Beam ◽  
Good Agreement

In this study a new numerical-analytical method for elasto-plastic and plastic modelling and simulating of FG beams is presented. The functionally graded (FG) beam composed of ten layers through the thickness and it is assumed that the mechanical properties of the beam vary through the thickness described by a simple power law distribution in terms of the volume fractions of constituents. The beam is assumed to be under transverse pressure load. In this paper a new method is presented based on linearization of the nonlinear part of the stress-strain curve of the material of the layers of the FG beam and using the elastic relations for bending analysis of beams. Numerical results for functionally graded beam are given and results of this paper for homogeneous beam are compared with other methods and good agreement is obtained between them. In addition, the effects of material properties on the stress field through the thickness of the FG beam are determined and discussed.

Free Vibration Analysis the Cracked FGM Beam under Bending-Torsion Loading, Using GDQ Method

2013 ◽  
Vol 330 ◽  
pp. 942-947 ◽  
Author(s):  
Alireza Daneshmehr ◽  
D.J. Inman ◽  
A. Mohammadi Fakhar
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Algebraic Equations ◽  
Governing Equations ◽  
Functionally Graded Beam ◽  
Fg Beam ◽  
Fgm Beam

This paper presents a theoretical investigation of free vibration analysis of a functionally graded beam (FGM) under the bending-torsion loading using a classical elasticity theory. The FG beam is assumed to have an open edge crack. It is assumed that the material properties of the simply-supported cracked beam, vary along the beam thickness following a polynomial distribution in the thickness direction. This analysis is based on the linear fracture mechanics. First of all, governing equations and boundary conditions of the FG beam are derived using Hamilton's principle. The governing equations are solved using generalized differential quadrature (GDQ) method. By applying GDQ method, the governing differential equations convert to a linear system of algebraic equations. Then solving the eigenvalue problem, natural frequencies of the FG beam can be found. The results indicate that natural frequencies in the presence of a crack are affected by the crack ratio and location.

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