Numerical Modeling and Simulation of Uniaxial Compression of Aluminum Foams Using FEM and 3D-CT Images

Ramírez, José Ernesto; Cardona, M.; Vélez, Jaime Alberto Saldarriaga; Mariaka, Isabela; Isaza, Jésica Andrea; Mendoza, Emigdio; Betancourt, Santiago; Fernández‐Morales, Patricia

doi:10.1016/j.mspro.2014.07.609

Cited by 21 publications

(10 citation statements)

References 9 publications

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“…Due to the uncertainty of the metal-foam material properties, as well as the uncertainty of the complicated external factors, various uncertainties unavoidably exist in the heat transfer system of the box structure. According to the description in Section 2, if the equivalent heat conductivity, emissivity and the power of heating element are known in advance to change in the intervals [10,20] In order to simulate the situation lack of measurement datas in actual engineering, 8 samples of each temperature response intervals are randomly selected with the assumption of normal distribution, which are listed in Equation 28.…”

Section: Numerical Examplementioning

confidence: 99%

“…Furthermore, with the improvement of X-ray technology, the method of a computerized tomography scan was adopted to research the internal microstructure in metal foams [7][8][9]. Ramirez et al [10] looked at the elastoplastic deformation of open-cell foams with micro-CT, which showed better consistency agreement with experimental results. Islam et al [11] simulated the dynamic deformation of closed-cell foams structure by using the technology of X-ray tomography.…”

Section: Introductionmentioning

confidence: 99%

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Interval Identification of Thermal Parameters Using Trigonometric Series Surrogate Model and Unbiased Estimation Method

Wang

Zhao

2020

Applied Sciences

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Metal-foam materials have been applied in many engineering fields in virtue of its high specific strength and desirable of thermodynamic properties. However, due to the inherent uncertainty of its attribute parameters, reliable analysis results are often ambiguous to obtain accurately. To overcome this drawback, this paper proposes a novel interval parameter identification method. Firstly, a novel modelling methodology is proposed to simulate the geometry of engineering metal foams. Subsequently, the concept of intervals is introduced to represent the uncertainty relationship between variables and responses in heat transfer systems. To improve computational efficiency, a novel augmented trigonometric series surrogate model is constructed. Moreover, unbiased estimation methods based on different probability distributions are presented to describe system measurement intervals. Then, a multi-level optimization-based identification strategy is proposed to seek the parameter interval efficiently. Eventually, an engineering heat transfer system is given to verify the feasibility of the proposed parameter identification method. This method can rapidly identify the unknown parameters of the system. The identification results demonstrate that this interval parameter identification method can quantify the uncertainty of a metal-foam structure in engineering heat transfer systems efficiently, especially for the actual case without sufficient measurements.

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Section: Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interval Identification of Thermal Parameters Using Trigonometric Series Surrogate Model and Unbiased Estimation Method

Wang

Zhao

2020

Applied Sciences

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“…The local deformation mechanisms of the actual foam structure during compression were investigated using different mesh size discretizations in [39]. Closedcell aluminium foams in [40] and [41] and open cell aluminium foams in [42] to [44] were investigated numerically based on µCT images and the material response for compression was determined. The deformation and plastic collapse mechanisms of closed-cell aluminium foams were analysed with finite element method based on µCT.…”

Section: Introductionmentioning

confidence: 99%

Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of μCT-Based Directly Reconstructed Geometrical Models

2018

SV-JME

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Metal foams have a lightweight cellular structure with excellent mechanical and physical properties. It is well known that metal foams have high compression strength combined with good energy absorption characteristics [1]. Therefore, the interest in these materials is widespread not only as a vibration damper or sound absorber but also as a load-bearing structural element. Numerous applications rely on the compressive property of metal foams, which directly depend on its structure. As a load-bearing structural element (e.g. vehicle part, biomedical implant) metal foam is expected to behave elastically under working circumstances, so the material response must be predicted precisely in the elastic region. Numerical determination of compressive properties of foam structure remains a demanding engineering task, and it is indispensable for design purposes.A number of studies have reported on measuring the material response of different types of metal foams in destructive ways. Geometrical modelling is an essential part of the procedure aiming the investigation of metal foam structures in a numerical way. Numerous approaches can be found in the literature for the proper description of foam structures, one of which is the usage of uniform cell models which results in simplified geometry compared with the actual structure. A combination of spherical and cruciform-shaped cells was used to model closed-cell aluminium foam and to simulate its material response in [11], while different uniform cell structures were applied to the model and simulate open cell metal foams in [12] to [14]. Diamond and cubic cell foam structure were also used to simulate the effect of cell shape on the mechanical behaviour of open cell metal foams in [15].Since the inner structure of different types of metal foams is quite complicated, a surface analysis can result in imperfect or false data. Recent studies proved X-ray computed tomography to be an efficient and powerful tool for mapping the complete structure • Calculations based on geometrical model precisely described the compressive response in the elastic region. Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of µCT-Based Directly Reconstructed Geometrical Models

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“…Nevertheless,Öchsner and Mishuris [6] did use it to simulate the behavior of a cell located on the periphery of a sample consisting of a large number of cells. The frictionless boundary condition is also very simple to implement because it is assumed that vertical faces are forced to remain on their initial plane, while the displacements on this plane occur without friction [7]. The planar boundary condition is based on the assumption that vertical faces always remain flat and parallel during the deformation of the structure [4,6,[8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study

Terriault

Braïlovski

2017

Advances in Materials Science and Engineering

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Emergent additive manufacturing processes allow the use of metallic porous structures in various industrial applications. Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. To determine these equivalent material properties, numerical simulations can be performed on a single unit cell of the lattice structure. However, a critical aspect to consider is the boundary conditions applied to the external faces of the unit cell. In the literature, different types of boundary conditions are used, but a comparative study is definitely lacking. In this publication, a diamond-type unit cell is studied in compression by applying different boundary conditions. If the porous structure’s boundaries are free to deform, then the periodic boundary condition is found to be the most representative, but constraint equations must be introduced in the model. If, instead, the porous structure is inserted in a rigid enclosure, it is then better to use frictionless boundary conditions. These preliminary results remain to be validated for other types of unit cells loaded beyond the yield limit of the material.

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Numerical Modeling and Simulation of Uniaxial Compression of Aluminum Foams Using FEM and 3D-CT Images

Cited by 21 publications

References 9 publications

Interval Identification of Thermal Parameters Using Trigonometric Series Surrogate Model and Unbiased Estimation Method

Interval Identification of Thermal Parameters Using Trigonometric Series Surrogate Model and Unbiased Estimation Method

Compressive Response Determination of Closed-Cell Aluminium Foam and Linear-Elastic Finite Element Simulation of μCT-Based Directly Reconstructed Geometrical Models

Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study

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