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Probabilistic elastic-plastic analysis of repaired cracks with bonded composite patch
Mourad Chama,Belaïd Mechab,Khacem Kaddouri,Djelloul Slimani 국제구조공학회 2016 Steel and Composite Structures, An International J Vol.20 No.6
The objective of this work was to evaluate the ductile cracked structures with bonded composite patch used in probabilistic elastic plastic fracture mechanics subjected to tensile load. The finite element method is used to analyze the stress intensity factors for elastic case, the effect of cracks and the thickness of the patch (<i>e<sub>r</sub></i>) are presented for calculating the stress intensity factors. For elastic-plastic the Monte Carlo method is used to predict the distribution function of the mechanical response. According to the obtained results, we note that the stress variations are important factors influencing on the distribution function of (J/Je).
A new formulation of the J integral of bonded composite repair in aircraft structures
Nassim Serier,Belaïd Mechab,Rachid Mhamdia,Boualem Serier 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.58 No.5
A three-dimensional finite element method is used for analysis of repairing cracks in plates with bonded composite patch in elastic and elastic plastic analysis. This study was performed in order to establish an analytical model of the J-integral for repair crack. This formulation of the J-integral to establish models of fatigue crack growth in repairing aircraft structures. The model was developed by interpolation of numerical results. The obtained results were compared with those calculated with the finite element method. It was found that our model gives a good agreement of the J-integral. The arrow shape reduces the J integral at the crack tip, which improves the repair efficiency.
Experimental and numerical prediction of the weakened zone of a ceramic bonded to a metal
Zaoui, Bouchra,Baghdadi, Mohammed,Mechab, Belaid,Serier, Boualem,Belhouari, Mohammed Techno-Press 2019 Advances in materials research Vol.8 No.4
In this study, a three-dimensional Finite Element Model has been developed to estimate the size of the weakened zone in a bi-material a ceramic bonded to metal. The calculations results were compared to those obtained using Scanning Electron Microscope (SEM). In the case of elastic-plastic behaviour of the structure, it has been shown that the simulation results are coherent with the experimental findings. This indicates that Finite Element modeling allows an accurate prediction and estimation of the weakening effect of residual stresses on the bonding interface of Alumina. The obtained results show us that the three-dimensional numerical simulation used by the Finite Element Method, allows a good prediction of the weakened zone extent of a ceramic, which is bonded with a metal.
Elastic-plastic analysis of the J integral for repaired cracks in plates
Salem, Mokadem,Bouiadjra, Belabbes Bachir,Mechab, Belaid,Kaddouri, Khacem Techno-Press 2015 Advances in materials research Vol.4 No.2
In this paper, three-dimensional finite element method is used to analyze the J integral for repaired cracks in plates with bonded composite patch and stiffeners. For elastic the effect of cracks, the thickness of the patch ($e_r$) and properties of the patch are presented for calculating the J integral. For elastic-plastic a several calculations have been realized to extract the plasticized elements around the crack tip of repaired and un-repaired crack. The obtained results show that the presence of the composite patch and stiffener reduces considerably the size of the plastic zone ahead of the crack. The effects of crack size and the inter-distance of repaired cracks were analysed.
Mohammed Ameur,Abdelouahed Tounsi,Ismail Mechab,El Abbes Adda Bedia 대한토목학회 2011 KSCE JOURNAL OF CIVIL ENGINEERING Vol.15 No.8
A new trigonometric shear deformation plate theory involving only four unknown functions, as against five functions in case of other shear deformation theories, is developed for flexural analysis of Functionally Graded Material (FGM) plates resting on an elastic foundation. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects,does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. In the analysis, the two-parameter Pasternak and Winkler foundations are considered. Material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. Governing equations are derived from the principle of virtual displacements. The accuracy of the present theory is demonstrated by comparing the results with solutions derived from other higher-order models found in the literature. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded plates.
Noureddine Elmeiche,Hichem Abbad,Ismail Mechab,Fabrice Bernard 국제구조공학회 2020 Structural Engineering and Mechanics, An Int'l Jou Vol.75 No.6
This paper attempts to investigate the free vibration of functionally graded material beams with nonuniform width based on the nonlocal elasticity theory. The theoretical formulations are established following the Euler–Bernoulli beam theory, and the governing equations of motion of the system are derived from the minimum total potential energy principle using the nonlocal elasticity theory. In addition, the Differential Quadrature Method (DQM) is applied, along with the Chebyshev-Gauss-Lobatto polynomials, in order to determine the weighting coefficient matrices. Furthermore, the effects of the nonlocal parameter, cross-section area of the functionally graded material (FGM) beam and various boundary conditions on the natural frequencies are examined. It is observed that the nonlocal parameter and boundary conditions significantly influence the natural frequencies of the functionally graded material beam cross-section. The results obtained, using the Differential Quadrature Method (DQM) under various boundary conditions, are found in good agreement with analytical and numerical results available in the literature.
Hassen Ait Atmane,Abdelouahed Tounsi,Noureddine Ziane,Ismail Mechab 국제구조공학회 2011 Steel and Composite Structures, An International J Vol.11 No.6
This paper presents a theoretical investigation in free vibration of sigmoid functionally graded beams with variable cross-section by using Bernoulli-Euler beam theory. The mechanical properties are assumed to vary continuously through the thickness of the beam, and obey a two power law of the volume fraction of the constituents. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the S-FGM beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Results show that, all other parameters remaining the same, the natural frequencies of S-FGM beams are always proportional to those of homogeneous isotropic beams. Therefore, one can predict the behaviour of S-FGM beams knowing that of similar homogeneous beams.