Effective elastic properties of foam-filled honeycomb cores of sandwich panels

Burlayenko, Vyacheslav N.; Sadowski, Tomasz

doi:10.1016/j.compstruct.2010.04.015

Cited by 116 publications

(47 citation statements)

References 19 publications

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“…Cellular structure is widely used to improve crashworthiness in the design of vehicle body because of lightweight and good energy absorption ability [1,3,4]. To work on properties of cellular structure, the most common method is to describe the effective mechanical properties by elastic constitutive of unit cell assuming that it is the continuous medium [5]. For cellular structure, the plateau stress is a very important indication to evaluate the performance of energy absorption.…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: The Nonlinear Compressive Response and Deformation of an Auxetic Cellular Structure under In-Plane Loading

Zhang

Hou

et al. 2014

Advances in Mechanical Engineering

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At the request of the Author, the following article Zhang, W, Hou, W, Hu, Ping and Ma, Z (2014) The Nonlinear Compressive Response and Deformation of an Auxetic Cellular Structure under In-Plane Loading Advances in Mechanical Engineering published 17 November 2014. doi: 10.1155/2014/214681has been retracted due to errors discovered by the authors. On Page 3, the definition of component force in Equation 4 is incorrect. (2) On Page 4, the definition of component force in Equation 11 is incorrect. Moreover this equation should not have parameterM(length of cell wall), because a mistake was made in the process of calculation. Because of the above reasons, the conclusion obtained from the mechanical model is incorrect and should instead state that the Elastic Buckling and Plastic Collapse are both yield modes of this structure (3) On Page 5, the FEA model used in this article is not appropriate, because the deformation of single cell is not homogeneous, which means that the geometrical non-linear effect on single cell model is greater. So in the actual whole structure we may not obtain the results that were described in Page 6 Paragraph 2. (4) The data in figures 8 (page 6) and 9 (page 7) is incorrect and the values of effective Young’s modulus and plateau stress are much larger than reasonable values. The definition of effective stress is wrong in the FEA model, which means the effective stress should be calculated by the total width of cell instead of length of horizontal cell wall. For example, in Figure 8, the plateau stress can reach 140Mpa, this is not reasonable because there are many holes in this cellular structure, and its mechanical properties should be much lower than material properties of cell wall. The reasonable plateau stress should be around 2Mpa. The authors takes responsibility for these errors and regret the publication of invalid results. The nonlinear compressive response and deformation of an auxetic cellular structure that has periodic negative Poisson's ratio (NPR) cell were studied through theoretical and numerical method. The in-plane deformation and process of absorbing energy of this NPR cellular structure were discussed. The relative density of NPR cell was determined by geometric parameters and a theoretical approach to the strength of NPR cell was carried out to analyze the failure process under in-plane compression. Thus, to prove the effective of unit cell mechanical model, the size effect of this NPR cellular structure was discussed. The simulations of two different NPR cellular structures under in-plane compression were generated and their effective properties, strain-stress curves, and absorbed energy were analyzed. It can be concluded that the NPR cell that has lower relative density may have better capability of absorbing energy with enhanced Young's modulus. Finally the parametric analyses related to relative density were presented with NPR unit cell model and a set of quasistatic compressive experiments was carried out, which can be used to reveal the nonlinear properties of NPR cellular structure and to prove the effectiveness of theoretical method.

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Section: Introductionmentioning

confidence: 99%

RETRACTED: The Nonlinear Compressive Response and Deformation of an Auxetic Cellular Structure under In-Plane Loading

Zhang

Hou

et al. 2014

Advances in Mechanical Engineering

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“…An analogous work, were the transverse shear sti ness properties of honeycombs are determined through a FE method is presented in [24]. In [10] a displacement-based homogenisation technique is presented to evaluate the mechanical properties of foam-lled honeycomb cores. We can also nd other works where the e ective properties of the sandwich plate are determined via FE static analyses conducted on the overall geometry of the honeycomb core instead of performing an homogenisation process on the unit cell, see for instance [22].…”

mentioning

confidence: 99%

“…Neglecting the interaction between the skins and the core, at the meso-scale level of the core, corresponds to adopt the so-called free modulus model in the framework of the determination of the e ective core properties, see [10,14].…”

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confidence: 99%

A multi-scale approach for the optimum design of sandwich plates with honeycomb core. Part I: homogenisation of core properties

Catapano

Montemurro

2014

Composite Structures

112

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This work deals with the problem of the optimum design of a sandwich panel. The design process is based on a general two-level optimisation strategy involving di erent scales: the meso-scale for both the unit cell of the core and the constitutive layer of the laminated skins and the macro scale for the whole panel. Concerning the meso-scale of the honeycomb core, an appropriate model of the unit cell able to properly provide its e ective elastic properties (to be used at the macro-scale) must be conceived. To this purpose, in this rst paper, we present the numerical homogenisation technique as well as the related nite element model of the unit cell which makes use of solid elements instead of the usual shell ones. A numerical study to determine the e ective properties of the honeycomb along with a comparison with existing models and a sensitive analysis in terms of the geometric parameters of the unit cell have been conducted. Numerical results show that shell-based models are no longer adapted to evaluate the core properties, mostly in the context of an optimisation procedure where the parameters of the unit cell can get values that go beyond the limits imposed by a 2D model.

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“…The particular honeycomb microstructure has been obtained from Burlayenko et al 11 and consists of a periodic arrangement of aluminum hexagonal honeycomb core filled with polyvinyl chloride (PVC) foam. The geometric parameters which define the periodic microstructure are the angle θ, the in-plane rotation ψ, the thickness t c and the lengths T and R (refer to Figure 4).…”

Section: Finite Element Modellingmentioning

confidence: 99%

“…As noted by Burlayenko and Sadowski 11 , this method is inexpensive and does not add a significant amount of weight to a sandwich structure. As a result, the honeycomb microstructure with incorporated foam is more effective to withstand crash, impact and fatigue loading conditions 11 . Nevertheless, the mechanical properties of polymers show a significant variability due to porosity, microscopic cracks and inclusions.…”

Section: Introductionmentioning

confidence: 99%

A Multi-scale Finite Element Approach for the Random Mechanical Response of Honeycomb-cored Structures

Sienz¹

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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This paper studies the uncertainty in the mechanical response of foam-filled honeycomb cores by means of a computational multi-scale approach. A finite element framework is adopted to determine the response of a periodic arrangement of aluminum honeycomb core filled with PVC foam. By considering uncertainty in the geometric properties of the microstructure, a significant computational cost is added to the solution of a large set of microscopic equilibrium problems. In order to tackle this high cost, we combine two strategies. Firstly, we make use of symmetry conditions present in a representative volume element of material. Secondly, we build a statistical approximation to the output of the computer model, known as a Gaussian process emulator. Following this double approach, we are able to reduce the cost of performing uncertainty analysis of the mechanical response. In particular, we are able to estimate the 5-th, 50-th, and 95-th percentile of the mechanical response without resorting to more computationally expensive methods such as Monte Carlo simulation.

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Effective elastic properties of foam-filled honeycomb cores of sandwich panels

Cited by 116 publications

References 19 publications

RETRACTED: The Nonlinear Compressive Response and Deformation of an Auxetic Cellular Structure under In-Plane Loading

RETRACTED: The Nonlinear Compressive Response and Deformation of an Auxetic Cellular Structure under In-Plane Loading

A multi-scale approach for the optimum design of sandwich plates with honeycomb core. Part I: homogenisation of core properties

A Multi-scale Finite Element Approach for the Random Mechanical Response of Honeycomb-cored Structures

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