Modeling and Analysis of Beams With Delamination

Mahieddine, Ali; Ouali, Mohammed

doi:10.1142/s1793962310000201

Cited by 6 publications

(3 citation statements)

References 11 publications

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“…For the clamped-free and clamped-clamped beams, the deflections computed by Eqs. ( 10)-( 13) are compared to those obtained by the use of a FE model by Mahieddine and Ouali [10], Mahieddine and Ouali [11]. The results are presented in Tables 1 and 2, respectively.…”

Section: Numerical Resultsmentioning

confidence: 99%

Dynamic Analysis of Delaminated Beams

Mahieddine

Ouali

Mazouz

2015

DDF

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To investigate the dynamic behavior of beams with partially delaminated layers, a model is presented in this work. This model takes into account the lateral strains. The principal advantage of the element is that it allows the modeling of delamination anywhere in the structure. The region without delamination is modeled to carry constant peel and shear stresses. Numerical results of the present model are presented and its performance is evaluated.

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Section: Numerical Resultsmentioning

confidence: 99%

Dynamic Analysis of Delaminated Beams

Mahieddine

Ouali

Mazouz

2015

DDF

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“…The elements in the delaminated region and region without delamination are derived separately, and all the variables in the displacement field are independent. However, the continuity conditions must be imposed to ensure the continuity of displacements along the delaminated front [8,9].…”

Section: Mathematical Formulationmentioning

confidence: 99%

Analysis of Delaminated Composite Plates

Mahieddine

Ouali

2013

AMR

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A mathematical model for plates with partially delaminated layers is presented to investigate their behavior. In this formulation account is taken of lateral strains. The principal advantage of the element is that it allows the modeling of delamination anywhere in the structure. The region without delamination is modeled to carry constant peel and shear stresses; while the region with delamination is modeled by assuming that there is no peel and shear stress transfer between the top and bottom layers. Numerical results of the present model are presented and its performance is evaluated for static problems. Laminated beams and plates are often used as primary load-carrying structures. However, the mechanical properties of composite materials may degrade severely in the presence of damage. One of the common types of damage modes in laminated composites is delamination. The presence of delamination is one of the most prevalent life-limiting failure modes in laminated composite structures. Many researchers had been studying the effect of delamination. Wee and Boay [1] developed an analytical model to predict the critical load of a delaminated composite laminated beam. Lee et al. [2] investigated the buckling behavior of the beam plate with multiple delaminations under compression. Kapania and Wolfe [3] examined the buckling behavior of a beam plate with two delaminations of equal length. Wang et al. [4] improved the analytical solution by including the coupling between the flexural and axial vibrations of the delaminated sub-laminates. Lee et al. [5] studied a composite beam with arbitrary lateral and longitudinal multiple delamination. Finite-element methods have been developed using the layerwise theory by Kim et al. [6]. Tan and Tong [7] developed a dynamic analytical model for the identification of delamination embedded in a laminated composite beam. To investigate the effects of delamination of a plate layers, a finite-element model is developed. Both displacement continuity and force equilibrium conditions are imposed between the regions with and without delamination. The accuracy of the approach is verified by comparing results with previously published data.

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“…65 The contact between the delamination faces was captured by FEM in Perel [66][67][68] recently. Finally, but not least, there are papers analyzing delaminated beams with piezoelectric actuators 69,70 and investigating damping and dispersion characteristics. 71,72 For delaminated beams many parametric studies have been published, including effect of delaminations on the mode shapes in composite [73][74][75][76][77][78] and sandwich beams.…”

Section: Introductionmentioning

confidence: 99%

Natural vibration-induced parametric excitation in delaminated Kirchhoff plates

Szekrényes

2015

Journal of Composite Materials

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This paper revisits the problem of free vibration of delaminated composite plates with Lévy type boundary conditions. The governing equations are derived for laminated Kirchhoff plates including through-width delamination. The plate is divided into two subplates in the plane of the delamination. The kinematic continuity of the undelaminated part is established by using the system of exact kinematic conditions. The free vibration analysis of orthotropic simply supported Lévy plates reveals that the delaminated parts are subjected to periodic normal and in-plane shear forces. This effect induces parametric excitation leading to the susceptibility of the plates to dynamic delamination buckling during the vibration. An important aspect is that depending on the vibration mode the internal forces have a two-dimensional distribution in the plane of the delamination. To solve the dynamic stability problem the finite element matrices of the delaminated parts are developed. The distribution of the internal forces in the direction of the delamination front was considered. The mode shapes including a half-wave along the width of the plate accompanied by delamination buckling are shown based on the subsequent superimposition of the buckling eigenshapes. The analysis reveals that the vibration phenomenon is amplitude dependent. Also, the phase plane portraits are created for some chosen cases showing some special trajectories. KeywordsDelamination, free vibration, laminated plate theory, dynamic stability, parametric excitation, harmonic balance, finite element method IntroductionDelaminations are typical defects in composite and sandwich structures induced by indentations (e.g. local loading by spherical indentors), 1,2 low-velocity impact and free edge effects (normal and shear stress concentration between layers at free edges), 3-6 finally by fabrication defects. 7,8 The cracks and delaminations reduce significantly the strength and stiffness of composite laminates.9-11 The material defects also influence the dynamic behavior of the structures.12-20 One of the widely known dynamic phenomena is parametric excitation, which takes place in machine tools, 21 [73][74][75][76][77][78] and sandwich beams. 79In Burlayenko and Sadowski, 80 the foam/core debonding in sandwich plates was investigated during free vibration. However, the existence of the parametric excitation was not revealed in any of the former papers.To the best of the author's knowledge, the existence of the parametric excitation in the course of free vibration of delaminated composite beams was first revealed in Szekre´nyes 81 and was solved effectively by the FE and harmonic balance methods in Szekre´nyes.82 It was also shown that the delamination buckling takes place only if the free vibration amplitude exceeds the so-called critical amplitude at a specified point of the beam. The existence of the critical amplitude was also proved experimentally. The parametric excitation in delaminated plates is possible to appear, as well. 9,10,[127][128][129] subseq...

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Modeling and Analysis of Beams With Delamination

Cited by 6 publications

References 11 publications

Dynamic Analysis of Delaminated Beams

Dynamic Analysis of Delaminated Beams

Analysis of Delaminated Composite Plates

Natural vibration-induced parametric excitation in delaminated Kirchhoff plates

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