Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions

Boussad Abbès,Mohammed Amine Benhenni,Tahar Hassaine Daouadji,Fazilay Abbès,Belkacem Adim,Yuming Li 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.70 No.5

This study aimed to develop a high-order shear deformation theory to predict the free vibration of hybrid cross-ply laminated plates under different boundary conditions. The equations of motion for laminated hybrid rectangular plates are derived and obtained by using Hamilton’s principle. The closed-form solutions of anti-symmetric cross-ply and angle-ply laminates are obtained by using Navier’s solution. To assess the validity of our method, we used the finite element method. Firstly, the analytical and the numerical implementations were validated for an antisymmetric cross-ply square laminated with available results in the literature. Then, the effects of side-to-thickness ratio, aspect ratio, lamination schemes, and material properties on the fundamental frequencies for different combinations of boundary conditions of hybrid composite plates are investigated. The comparison of the analytical solutions with the corresponding finite element simulations shows the good accuracy of the proposed analytical closed form solution in predicting the fundamental frequencies of hybrid cross-ply laminated plates under different boundary conditions.

Finite element elastoplastic homogenization model of a corrugated-core sandwich structure

Viet D. Luong,Fazilay Abbès,Minh P. Hoang,Pham T.M. Duong,Boussad Abbès 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.41 No.3

This study aimed to develop an elastoplastic homogenization model to accurately predict the elastoplastic static behavior of a corrugated-core sandwich structure. A panel composed of two planar layers and one corrugated layer is modeled by a homogeneous orthotropic single-layer plate. A plane stress elastoplastic model is adopted to describe the behavior of each layer. Homogenization is achieved by local integration across the thickness of each layer. The proposed homogenization model is implemented in the ABAQUS finite element software using UGENS user subroutine. The results obtained by our model are compared to those obtained by full 3D simulations under different loading conditions. The comparisons show the efficiency and the accuracy of the proposed elastoplastic homogenization model.

Numerical modeling of hygrothermal effect on the dynamic behavior of hybrid composite plates

Mohamed A. Ben Henni,Boussad Abbès,T. Hassaine Daouadji,Fazilay Abbès,Belkacem Adim 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.39 No.6

In this work, the hygrothermal effect on the behavior of hybrid laminated composite plate has been investigated using high-order shear deformation theory and finite element analysis. The equation of motion of the laminated plate is obtained using Hamilton's principle, and the mathematical expressions are obtained using Navier's solution for different boundary conditions. The engineering moduli for the different cases: non-hybrid composite and hybrid composite are calculated using the law of mixtures. The mechanical properties of hybrid composite plate are considered as temperature and humidity dependent. The results obtained with finite element analysis using Abaqus and analytical approach show a good agreement in predicting the fundamental frequencies of hybrid cross-ply laminated plates under hygrothermal loading.

Flexural behaviour of steel beams reinforced by carbon fibre reinforced polymer: Experimental and numerical study

Hassaine Daouadji Tahar,Abbes Boussad,Rabahi Abderezak,Benferhat Rabia,Abbes Fazilay,Adim Belkacem 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.72 No.4

The paper presents the results of an experimental and numerical programme to characterize the behaviour of steel beams reinforcement by composite plates. Important failure mode of such plated beams is the debonding of the composite plates from the steel beam due to high level of stress concentration in the adhesive at the ends of the composite plate. In this new research, an experimental and numerical finite element study is presented to calculate the stresses in the sika carbodur and sika wrap reinforced steel beam under mechanical loading. The main objective of the experimental program was the evaluation of the force transfer mechanism, the increase of the load capacity of the steel beam and the flexural stiffness. It also validated different analytical and numerical models for the analysis of sika carbodur and sika wrap reinforced steel beams. In particular, a finite element model validated with respect to the experimental data and in relation to the analytical approach is presented. Experimental and numerical results from the present analysis are presented in order to show the advantages of the present solution over existing ones and to reconcile debonding stresses with strengthening quality.

Analytical analysis of the interfacial shear stress in RC beams strengthened with prestressed exponentially-varying properties plate

Rabia, Benferhat,Abderezak, Rabahi,Daouadji, Tahar Hassaine,Abbes, Boussad,Belkacem, Adim,Abbes, Fazilay Techno-Press 2018 Advances in materials research Vol.7 No.1

In this paper, a closed-form rigorous solution for interfacial shear stress in simply supported beams strengthened with bonded prestressed E-FGM plates and subjected to an arbitrarily positioned single point load, or two symmetric point loads is developed using linear elastic theory. This improved solution is intended for application to beams made of all kinds of materials bonded with a thin plate, while all existing solutions have been developed focusing on the strengthening of reinforced concrete beams, which allowed the omission of certain terms. The theoretical predictions are compared with other existing solutions. Finally, numerical results from the present analysis are presented to study the effects of various parameters of the beams on the distributions of the interfacial shear stresses. The results of this study indicated that the E-FGM plate strengthening systems are effective in enhancing flexural behavior of the strengthened RC beams.

Elastic analysis of interfacial stress concentrations in CFRP-RC hybrid beams: Effect of creep and shrinkage

Abderezak, Rabahi,Daouadji, Tahar Hassaine,Abbes, Boussad,Rabia, Benferhat,Belkacem, Adim,Abbes, Fazilay Techno-Press 2017 Advances in materials research Vol.6 No.3

A simple closed-form solution to calculate the interfacial shear and normal stresses of retrofitted concrete beam strengthened with thin composite plate under mechanical loads including the creep and shrinkage effect has been presented in this paper. In such plated beams, tensile forces develop in the bonded plate, and these have to be transferred to the original beam via interfacial shear and normal stresses. Consequently, debonding failure may occur at the plate ends due to a combination of high shear and normal interfacial stresses. These stresses between a beam and a soffit plate, within the linear elastic range, have been addressed by numerous analytical investigations. Surprisingly, none of these investigations has examined interfacial stresses while taking the creep and shrinkage effect into account. In the present theoretical analysis for the interfacial stresses between reinforced concrete beam and a thin composite plate bonded to its soffit, the influence of creep and shrinkage effect relative to the time of the casting, and the time of the loading of the beams is taken into account. Numerical results from the present analysis are presented both to demonstrate the advantages of the present solution over existing ones and to illustrate the main characteristics of interfacial stress distributions.

Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates

Benhenni, Mohamed Amine,Daouadji, Tahar Hassaine,Abbes, Boussad,Adim, Belkacem,Li, Yuming,Abbes, Fazilay Techno-Press 2018 Advances in materials research Vol.7 No.2

In this paper, static and vibration analysis for anti-symmetric cross-ply and angle- ply carbon/glass hybrid laminates rectangular composite plate are presented. In this analysis, the equations of motion for simply supported thick laminated hybrid rectangular plates are derived and obtained through the use of Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle- ply laminates are obtained using Navier solution. The effects of side-to-thickness ratio, aspect ratio, and lamination schemes on the fundamental frequencies loads are investigated. The study concludes that shear deformation laminate theories accurately predict the behavior of composite laminates, whereas the classical laminate theory over predicts natural frequencies. The excellent accuracy of the present analytical solution is confirmed by making some comparisons of the present results with those available in the literature. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behaviors of anti-symmetric cross-ply and angle- ply hybrid laminated composite plates.

Elastic analysis of interfacial stresses in prestressed PFGM-RC hybrid beams

Abderezak, Rabahi,Rabia, Benferhat,Daouadji, Tahar Hassaine,Abbes, Boussad,Belkacem, Adim,Abbes, Fazilay Techno-Press 2018 Advances in materials research Vol.7 No.2

In this paper, the problem of interfacial stresses in damaged reinforced concrete beams strengthened with bonded prestressed functionally graded material plate and subjected to a uniformly distributed load, arbitrarily positioned single point load, or two symmetric point loads is developed using linear elastic theory. The adopted model takes into account the adherend shear deformations by assuming a linear shear stress through the depth of the damaged RC beam. This solution is intended for application to beams made of all kinds of materials bonded with a thin FGM plate. The results show that there exists a high concentration of both shear and normal stress at the ends of the functionally graded material plate, which might result in premature failure of the strengthening scheme at these locations. Finally, numerical comparisons between the existing solutions and the present new solution enable a clear appreciation of the effects of various parameters of the beams on the distributions of the interfacial stresses.

Interfacial stresses in damaged RC beams strengthened by externally bonded prestressed GFRP laminate plate: Analytical and numerical study

Chergui, Selma,Daouadji, Tahar Hassaine,Hamrat, Mostefa,Boulekbache, Bensaid,Bougara, Abdelkader,Abbes, Boussad,Amziane, Sofiane Techno-Press 2019 Advances in materials research Vol.8 No.3

In this study, the interfacial stresses in RC beams strengthened by externally bonded prestressed GFRP laminate are evaluated using an analytical approach, based on the equilibrium equations and boundary conditions. A comparison of the interfacial stresses obtained from the present analytical model and other existing models is undertaken. Otherwise, a parametric study is conducted to investigate the effects of geometrical and material properties on the variation of interfacial stresses in damaged RC beams strengthened by externally bonded prestressed GFRP laminate. The results obtained indicate that the damage degree has little effect on the maximum shear stress, with a variation less than 5% between the damaged and undamaged RC beams. However, the results also reveal that the prestressing level has a significant effect on the interfacial stresses; hence the damaged RC beam strengthened with an initial prestressing force of 100 kN gives 110% higher maximum shear stress than the damaged RC beam strengthened with an initial prestressing force of 50 kN. The values of shear stress obtained by the analytical approach are approximately equal to 44% of those obtained from the numerical solution, while the interfacial normal stresses predicted by the numerical study are approximately 26% higher than those calculated by the analytical solution.

Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions

Adim Belkacem,Hassaine Daouadji Tahar,Rabahi Abderrezak,Benhenni Mohamed Amine,Zidour Mohamed,Abbes Boussad 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.66 No.6

In this paper, we study the Carbon/Glass hybrid laminated composite plates, where the buckling behavior is examined using an accurate and simple refined higher order shear deformation theory. This theory takes account the shear effect, where shear deformation and shear stresses will be considered in determination of critical buckling load under different boundary conditions. The most interesting feature of this new kind of hybrid laminated composite plates is that the possibility of varying components percentages, which allows us for a variety of plates with different materials combinations in order to overcome the most difficult obstacles faced in traditional laminated composite plates like (cost and strength). Numerical results of the present study are compared with three-dimensional elasticity solutions and results of the first-order and the other higher-order theories issue from the literature. It can be concluded that the proposed theory is accurate and simple in solving the buckling behavior of hybrid laminated composite plates and allows to industrials the possibility to adjust the component of this new kind of plates in the most efficient way (reducing time and cost) according to their specific needs.