Buckling analysis of functionally graded hybrid composite plates using a new four variable refined plate theory

Fekrar, Abdelkader; Meiche, Noureddine El; Bessaim, Aicha; Tounsi, Abdelouahed; Bedia, E.A. Adda

doi:10.12989/scs.2012.13.1.091

Cited by 37 publications

(13 citation statements)

References 18 publications

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“…The formulation lends itself particularly well in analyzing functionally graded materials in hybrid structure [16][17][18] which will be considered in the near future. …”

Section: Resultsmentioning

confidence: 99%

Analytical Study of Buckling of Hybrid Multilayer Plates

Kettaf

Benguediab

Tounsi

2015

Period. Polytech. Mech. Eng.

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IntroductionComposite materials are attracting growing interest from many industry sectors, and their use is becoming widespread. This enthusiasm can be explained by their geometric structure designed to impart properties that their elementary constituents do not have individually, and allow them to fulfill many technical functions and achieve new levels of performance. The coupling between composites and metals gives rise to a range of so-called high-tech materials that can fulfill several tasks than traditional composites can't do include bolted joints. These materials can be tailored to suit a wide variety of applications by varying the fiber/ resin system, the alloy type and thickness, stacking sequence, fiber orientation, surface pretreatment technique, etc. They are used specially for advanced aerospace structural.Much research has been conducted to better understand the mechanical responses of these materials to applied loads [1][2][3][4]. However, little has been reported in the open literature on the composite plates buckling due to temperature changes. Biswa [5] solved thermal problems involving buckling of orthotropic plates. Similar problems for anti-symmetric and symmetric plates were resolved by Tauchert and Huang [6]. A more general formulation was proposed by Chen and Chen [7].Many analytical studies have been performed on analyzing the behavior of functionally graded hybrid plates under different types of loading, such as: [8][9][10][11].In this paper, we are interested by the deformation of these plates due at change of temperature. The equilibrium equations are obtained and used to calculate the thermal elastic buckling critical loads for a rectangular thin plate. To derive these equations, nonlinear relationships deformation-displacement was used. To introduce the transverse shear, U and V displacement components are approximated with expressions of high order.

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“…The formulation lends itself particularly well in analyzing functionally graded materials in hybrid structure [16][17][18] which will be considered in the near future. …”

Section: Resultsmentioning

confidence: 99%

Analytical Study of Buckling of Hybrid Multilayer Plates

Kettaf

Benguediab

Tounsi

2015

Period. Polytech. Mech. Eng.

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“…Alibrandi et al [29] proposed an efficient procedure for the reliability analysis of frame structures with respect to the buckling limit state. Fekrar et al [30] conducted the buckling analysis of functionally graded hybrid composite plates by using a new fourvariable refined plate theory. Wang and Peng [31] proposed a Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates.…”

Section: Introductionmentioning

confidence: 99%

Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System

Zhang

2019

Mathematical Problems in Engineering

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The Kiewitt spherical reticulated shell of triangular pyramid system is taken as the object of this study; a macroprogram of parametric modeling is developed by using the ANSYS Parametric Design Language. The minimum structural total weight is taken as the objective function, and a shape optimization program is proposed and compiled by adopting the sequence two-stage algorithm in FORTRAN environment. Then, the eigenvalue buckling analysis for Kiewitt spherical reticulated shell of triangular pyramid system is carried out with the span of 90 m and rise-span ratio of 1/7~1/3. On this basis, the whole nonlinear buckling process of the structure is researched by considering initial geometrical imperfection. The load-displacement curves are drawn, and the nonlinear behaviors of special nodes are analyzed. The structural nonlinear behaviors affected by rise-span ratio are discussed. Finally, the stability of reticulated shell before and after optimization is compared. The research results show that (1) users can easily get the required models only by inputting five parameters, i.e., the shell span (S), rise (F), latitudinal portions (Kn), radial loops (Nx), and thickness (T). (2) Under the conditions of different span and rise-span ratio, the optimal grid number and bar section for the Kiewitt spherical reticulated shell of triangular pyramid system existed after optimization; i.e., the structural total weight is the lightest. (3) The whole rigidity and stability of the Kiewitt spherical reticulated shell of triangular pyramid system are very nice, and the reticulated shell after optimization can still meet the stability requirement. (4) When conducting the reticulated shell design, the structural stability and carrying capacity can be improved by increasing the rise-span ratio or the rise. (5) From the perspective of stability, the rise-span ratio of the Kiewitt spherical reticulated shell of triangular pyramid system should not choose 1/7.

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“…In the same way, Bouremana et al (2013) developed a new first shear deformation beam theory based on neutral surface position for FG beams. Recently, by employing a novel four variables refined plate theory against five in case of other shear deformation theories, some studies (Fekrar et al 2012;Bouderba et al 2013;Kettaf et al 2013;Tounsi et al 2013;Ait Amar Meziane et al 2014;Zidi et al 2014;Nedri et al 2014) investigated a series of buckling, bending and vibration response of FG plate/ beam and laminated plate supported by elastic foundation. Chakraverty and Pradhan (2014) studied the free vibration of exponential functionally graded rectangular plates in thermal environment with general boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations

Atmane

Tounsi

Bernard

2015

Int J Mech Mater Des

161

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The novelty of this paper is the use of an efficient beam theory for bending, free vibration and buckling analysis of functionally graded material (FGM) beams on two-parameter elastic foundation. The present theory accounts for both shear deformation and thickness stretching effects by a parabolic variation of all displacements across the thickness, and satisfies the stress-free boundary conditions on the upper and lower surfaces of the beam without requiring any shear correction factor. Due to porosities, possibly occurring inside FGMs during fabrication, it is therefore necessary to consider the vibration, bending and buckling behaviors of beams having porosities in this work. The equation of motion for FGM beams is obtained through Hamilton's principle. The closed form solutions are obtained by using Navier technique, and then fundamental frequencies are found by solving the results of eigenvalue problems. The validity of the present theory is investigated by comparing some of the present in literature. It can be concluded that the proposed theory is accurate and simple in solving the bending, free vibration and buckling behaviors of FGM sandwich beams.

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Buckling analysis of functionally graded hybrid composite plates using a new four variable refined plate theory

Cited by 37 publications

References 18 publications

Analytical Study of Buckling of Hybrid Multilayer Plates

Analytical Study of Buckling of Hybrid Multilayer Plates

Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System

Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations

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