Analytical, numerical and experimental study of the bifurcation and collapse behavior of a 3D reinforced sandwich structure under through-thickness compression

Lainé, Cyril; Grognec, Philippe Le; Comas-Cardona, Sébastien; Binétruy, Christophe

doi:10.1016/j.ijmecsci.2012.12.005

Cited by 20 publications

(13 citation statements)

References 11 publications

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“…Whereas stability of high-order modes can be ensured via an elastic foundation [10][11][12][13], cooling of thin film fixed to a substrate of different thermal-expansion coefficient [10,14], or compressing a beam between two fixed walls [15], these additional media bring complex interactions as friction or secondary paths for wave propagation. In the literature, two/three dimensional (2D/3D) self-supported periodic buckled structures are also reported experimentally, such as stretched membranes [16], twisted and stretched strips [17,18], compressed cylinders [19,20], sandwich panels [21,22], reinforced plates [23] and lattices [24,25].…”

Section: Solitary Mechanical Waves Have Been Observed Experimentally mentioning

confidence: 99%

Wave propagation in periodic buckled beams. Part II: Experiments

Maurin

Spadoni

2016

Wave Motion

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Buckled periodic beams possess a geometrically nonlinear, load-deformation relation and intrinsic length scales such that stable, nonlinear waves are possible. In part I of this paper, a model has been derived that predict compressive/rarefaction, supersonic/supersonic solitary waves, varying the level of compression and the support type (guided or pinned). Although this work has been validated by simulating the structure with finite-elements, in the present paper, investigations are done experimentally, focusing on the guided-supported, slightlybuckled beam.

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Section: Solitary Mechanical Waves Have Been Observed Experimentally mentioning

confidence: 99%

Wave propagation in periodic buckled beams. Part II: Experiments

Maurin

Spadoni

2016

Wave Motion

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“…However, in practice, despite its comparatively low modulus, the presence of the core material cannot be ignored and the classical Euler critical values are no more valid (the core material generally displays a stabilizing effect). Several analytical solutions have thus been proposed in the literature to better estimate the critical loading for such a micro-buckling problem, where simplified strain states are supposed in the core material which is sometimes even replaced by spring distributions [7] (see [8] for a more comprehensive review on this subject). Recently, one of the authors [8] analyzed the buckling behavior of similar composites, namely Napco reinforced sandwiches (whose manufacturing is based on transverse needling, see Figure 1), under through-thickness compression.…”

Section: Introductionmentioning

confidence: 99%

“…Several analytical solutions have thus been proposed in the literature to better estimate the critical loading for such a micro-buckling problem, where simplified strain states are supposed in the core material which is sometimes even replaced by spring distributions [7] (see [8] for a more comprehensive review on this subject). Recently, one of the authors [8] analyzed the buckling behavior of similar composites, namely Napco reinforced sandwiches (whose manufacturing is based on transverse needling, see Figure 1), under through-thickness compression. Exact closed-form solutions were derived using a similar hybrid beam/2D (unit cell) model as in [4] (where the skins are replaced here by the reinforcements and without any simplification regarding the deformation field in the core material).…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of a reinforced sandwich column using the Bloch wave theory

Dong¹,

Grognec²

2017

Thin-Walled Structures

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International audienceThis paper deals with sandwich structures whose core layer is made of a homogeneous foam periodically strengthened by orthogonal reinforcements. Beside traditional sandwiches which generally display satisfactory specific flexural properties but fatally insubstantial stiffnesses in the through-thickness direction, 3D reinforced sandwich materials provide optimal out-of-plane mechanical properties. Despite this, buckling remains one of the major failure modes of such structures and, compared to the case of traditional sandwiches, both global and local buckling phenomena are more complicated in presence of transverse reinforcements. Indeed, in most cases, the modal deformed shapes involve simultaneously the skins and the reinforcements in an intricate way. The main feature of these buckling modes is periodicity, but the typical wave length appears to be generally different from the characteristic length between reinforcements. However, it is possible to investigate such periodic modes on a simple unit cell by using the so-called Bloch wave theory. In this work, an efficient procedure is defined so as to deal with the buckling behavior of a sandwich column with periodic orthogonal reinforcements. First, a numerical method is implemented in the framework of the commercial software Abaqus. The evaluation of the critical strains is performed on a unit cell: an initial average compressive strain is enforced, then natural frequencies are computed and the critical strains are deduced by extrapolation of the previous eigenvalues. A Python program is developed so as to automate these successive calculation steps and a Fortran program is also needed (within Abaqus) in order to cope with the two real and imaginary problems to be solved due to the Bloch periodic conditions. Furthermore, an exact analytical solution of this problem is obtained in the particular case of a reinforced sandwich with no foam core (for simplicity purposes). The analytical and numerical solutions obtained with a unit cell model are finally compared to the results of numerical computations performed on a complete beam with an arbitrary number of cells, for validation purposes. The critical strains/displacements are found to be in very good agreement and the buckling modes rebuilt from the real and imaginary components of the unit cell modal solutions perfectly coincide with the buckling modes of the complete beam obtained through a linearized buckling analysis

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“…15 With the new technologies, the through-thickness performance of the sandwich structures has been improved over the traditional sandwich structures.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on the mechanical properties of looped fabric reinforced foam core sandwich composite

Dai

Zhou

Sun

et al. 2015

Journal of Composite Materials

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One of the well-known advantages of the sandwich construction is its high specific stiffness with lightweight. The property of withstanding the shearing, peeling, and flatwise tensile loading is an important factor of designing the sandwich structure. In the present study, the looped fabric reinforced foam core sandwich composite (U-cor) is proposed, and its flatwise tensile, peeling and shearing responses are investigated. Experiments are performed to study the mechanical behavior of the rigid polyurethane foam (RPUF) of different densities under tension, compression, and shear loading. Specimens of U-cor and the traditional 2D woven fabric reinforced foam sandwich composite (2DRFS) with thick and thin fiber yarns are investigated. Results show that the main failure mode of the 2DRFS is skin-core debonding. For the U-cor, the damage patterns are far more complicated. Besides breakage of foam, breakage of loop yarn may also occur. The interface performance of the U-cor is much better than that of the 2DRFS. Finite element analysis of U-cor under shearing load in warp direction is performed. The predicted shear strengths and failure modes are in good agreement with the experimental results.

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Analytical, numerical and experimental study of the bifurcation and collapse behavior of a 3D reinforced sandwich structure under through-thickness compression

Cited by 20 publications

References 11 publications

Wave propagation in periodic buckled beams. Part II: Experiments

Wave propagation in periodic buckled beams. Part II: Experiments

Buckling analysis of a reinforced sandwich column using the Bloch wave theory

Experimental study on the mechanical properties of looped fabric reinforced foam core sandwich composite

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