Finite elements computation for the elastic properties of a regular stacking of hollow spheres

Gasser, Stéphane; Păun, Florin; Bréchet, Y.

doi:10.1016/j.msea.2004.02.002

Cited by 44 publications

(22 citation statements)

References 5 publications

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“…It is seen that the variation of the elastic modulus is comparable to the corresponding predictions given in Ref. [7]. Equations (2b) and (2c) are plotted in Fig.…”

Section: Relative Sphere Wall Thicknesssupporting

confidence: 83%

“…Different from the previous finite element studies conducted by Sanders et al [3,4] and Gasser et al [5][6][7], the present study has successfully simulated the total collapse behaviors of the hollow sphere structures with regular packing patterns. Adjusted by the relative density based on the open-celled foam theory, the predicted post-yield behaviors, especially the plateau stress, agree well with the experimental measurements.…”

Section: Strengths and Limitations Of The Present Studiesmentioning

confidence: 91%

“…Adopting the concept of [3,4] defined some elementary parameters (such as bonding angle, relative sphere wall thickness h/R) and proposed fairly good finite element models for those with regular stacking patterns. Meanwhile, similar finite element models were also proposed by Gasser et al [5][6][7]. However, all these studies were restricted to the elastic response and the initial yielding behavior, probably because of the dramatic increase of the computational time in the simulation of the large plastic deformations of their models.…”

Section: Introductionmentioning

confidence: 89%

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Finite element simulations on the mechanical properties of MHS materials

Gao

Karagiozova

2007

Acta Mech Sin

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Finite element simulations are carried out to examine the mechanical behavior of the metallic hollow sphere (MHS) material during their large plastic deformation and to estimate the energy absorbing capacity of these materials under uniaxial compression. A simplified model is proposed from experimental observations to describe the connection between the neighboring spheres, which greatly improves the computation efficiency. The effects of the governing physical and geometrical parameters are evaluated; whilst a special attention is paid to the plateau stress, which is directly related to the energy absorbing capacity. Finally, the empirical functions of the relative material density are proposed for the elastic modulus, yield strength and plateau stress for FCC packing arrangement of hollow spheres, showing a good agreement with the experimental results obtained in our previous study.

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“…It is seen that the variation of the elastic modulus is comparable to the corresponding predictions given in Ref. [7]. Equations (2b) and (2c) are plotted in Fig.…”

Section: Relative Sphere Wall Thicknesssupporting

confidence: 83%

Section: Strengths and Limitations Of The Present Studiesmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 89%

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Finite element simulations on the mechanical properties of MHS materials

Gao

Karagiozova

2007

Acta Mech Sin

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“…Sanders et al investigated the mechanical properties of regular stacked (fcc and body-centered-cubic) structures using a finite element code. [3] Similar studies were performed by Gasser et al [4] Experimental investigations on the mechanical behavior of randomly packed metallic hollow sphere structures are commonly concerned with the compressive behavior. Lim et al have performed some studies on this topic.…”

Section: Introductionmentioning

confidence: 65%

Experimental Investigation of Mechanical Properties of Metallic Hollow Sphere Structures

Friedl

Motz

Peterlik

et al. 2007

Metall Mater Trans B

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Metallic foam was fabricated from 316L stainless steel spheres, where the bonding of the spheres was achieved by a sintering process. The mechanical behavior of a low-density material (0.3 g/ cm 3 ) with 2-and 4-mm sphere diameter and a high-density material (0.6 g/cm 3 ) with 4-mm sphere diameter was investigated in compression and tension. The cell wall material of this hollow sphere structure (HSS) had different morphologies: dense and porous sintered walls were investigated. The cell wall morphology affects the YoungÕs modulus (stiffness) and the ductility of the HSS material. Defects, such as the cell wall porosity, lower the ductility of the material. Besides the quasi-static measurements, the HSS material was tested with a resonance frequency method (dynamic measurement), to obtain detailed information on the stiffness at different temperatures up to 700°C. In-situ compression and tension tests were carried out to understand the deformation mechanisms on the scale of the single hollow spheres. The failure mechanisms in the vicinity of the sintering neck of the spheres was investigated. A doubling of the density leads to an increase of the plateau stress and the ultimate tensile stress of the material, whereas the ductility (strain to fracture) depended mainly on the cell wall morphology. Due to the mainly tensile loading of the cell walls in the vicinity of the sinter neck, the ultimate tensile strength doubled for the high-density HSS, in good agreement with theoretical considerations. In compression, the gain in the plateau stress was not as distinctive compared with the theoretical considerations assuming a bending dominated deformation. The influence of structural parameters, such as cell wall morphology, cell wall thickness, and sphere diameter, on the mechanical behavior is discussed.

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“…Like Sanders and Gibson [2003a], Gasser et al [2003] investigated the uniaxial tensile elastic properties of regular FCC hollow sphere packings, and expressed three independent elastic constants of the materials for FCC stacking in terms of polynomial expressions [Gasser et al 2004b]. They compared the results with the estimations from the formulae proposed by Sanders and Gibson [2003a]; it was shown that the polynomial expressions are valid for the case where the size of necks is much smaller than 0.2 times the balloon radius.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2007

JOMMS

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See inside back cover or http://www.jomms.org for submission guidelines.Regular subscription rate: $500 a year. In this paper the dynamic behavior of a fatigue cracked beam is investigated. The purpose is to reveal the nonlinear behavior of the structure with fatigue damage by using wavelet transform. A cracked cantilever beam is modeled by the finite element (FE) method using ALGOR™ software. A breathing crack is described in the FE method as a surface to surface contact of the two edges of the crack during vibration. Strain time history in the area adjacent to the crack has been analyzed using data processing techniques. Nonlinear effects in signals are usually difficult to detect by conventional data processing methods such as fast Fourier transform. However wavelet transform has recently been shown to be an effective method of detecting such nonlinear effects in signals. Modulus maxima, an important property of wavelet transform, have been used as an indicator of the crack size. Numerical results obtained from the FE analysis are presented in this paper, as well as some experimental results. It is shown that detection of fatigue cracks using breathing behavior and wavelet transform can be used to develop a vibration-based crack detection technique.

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Finite elements computation for the elastic properties of a regular stacking of hollow spheres

Cited by 44 publications

References 5 publications

Finite element simulations on the mechanical properties of MHS materials

Finite element simulations on the mechanical properties of MHS materials

Experimental Investigation of Mechanical Properties of Metallic Hollow Sphere Structures

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