Structure of foams modeled by Laguerre–Voronoi tessellations

Wejrzanowski, Tomasz; Skibiński, Jakub; Szumbarski, Jacek; Kurzydłowski, Krzysztof J.

doi:10.1016/j.commatsci.2012.08.046

Cited by 89 publications

(59 citation statements)

References 30 publications

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“…The obtained edge length of these foams was 15 mm. Obtained structural parameters of commercial foam materials are in good agreement with literature data [8,17,27]. One of the most decisive parameters determining Young's modulus of porous materials is porosity, therefore LVT structures with mean strut diameter of 2 mm were chosen as correlated the closest to the reference materials.…”

Section: Resultssupporting

confidence: 78%

Design of Mechanical Properties of Open-Cell Porous Materials Based on μCT Study of Commercial Foams

Skibiński

Ćwieka

Wejrzanowski

et al. 2015

MATEC Web of Conferences

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Abstract. In the present paper numerical design of mechanical properties of open-cell porous materials is addressed. A detailed knowledge of mechanisms and parameters determining mechanical properties (i.e. Young's Modulus, Poisson's Ratio) of foams is essential for applications such as energy absorbers or lightweight construction materials. The foam structures were designed using procedure based on Laguerre-Voronoi tessellations (LVT) with microcomputed tomography of commercial foams used as reference. Foam morphology was studied on post-processed computed tomography images and the parameters of LVT structures were compared with commercial materials. Subsequently finite element method (FEM) calculations were performed on both types of structures to validate the LVT design algorithm. The results show that the described design procedure can be successfully used for modeling mechanical properties of open-cell foam structures.

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Section: Resultssupporting

confidence: 78%

Design of Mechanical Properties of Open-Cell Porous Materials Based on μCT Study of Commercial Foams

Skibiński

Ćwieka

Wejrzanowski

et al. 2015

MATEC Web of Conferences

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“…It should be mentioned that similar microstructural models are used for polycrystalline materials [37][38][39][40][41][42][43][44][45][46][47][48][49], demonstrating a degree of similitude of the morphology of these materials with foam-based media. The morphological properties of Laguerre-based models have been well characterized, compared and fitted to real foams [ 50,51 ], supporting with quantitative arguments that solid foam are not in Plateau equilibrium [ 52 ]. These generation methods represent very well the size distribution of cells and some other morphological parameters ( face-by-cell count, edge-by-face count, dihedral and interior angles, … ) but produces very regular geometries, i.e.…”

Section: Introductionmentioning

confidence: 70%

An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets

2015

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A general and widely tunable method for the generation of Representative Volume Elements ( RVEs ) for cellular materials based on distance and level set functions is presented. The approach is based on random tessellations constructed from random inclusion packings. A general methodology to obtain arbitraryshaped tessellations to produce disordered foams is presented and illustrated. These tessellations can degenerate either in classical Voronoï tessellations potentially additively weighted depending on properties of the initial inclusion packing used, or in Laguerre tessellations through a simple modification of the formulation. A versatile approach to control the particular morphology of the obtained foam is introduced. Specific local features such as concave triangular Plateau borders and non-constant thickness heterogeneous coatings can be built from the tessellation in a straightforward way and are tuned by a small set of parameters with a clear morphological interpretation.

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“…The elastic properties of the foam material were assumed isotropic and defined by Young's modulus of E = 70 GPa and Poisson's ratio ν = 0.33 for pure aluminum. Schematic explanation with detailed description of the procedure used hereby can be found in [5,16,17].…”

Section: Methodsmentioning

confidence: 99%

“…Complex structures of open-porous materials can be modeled by means of three methods: -dimensional analysis based on a periodic alignment of regular and parameterized representative unit cells [2,11,14], -Voronoi tessellation-based methods [14][15][16][17], -reconstruction micro-computed tomography (μCT) images [3,18,19]. For the modeling of structures of sintered open-porous materials, a discrete approach incorporating the distribution of powder size may be successfully applied [20].…”

Section: Introductionmentioning

confidence: 99%

Incorporation of the Pore Size Variation to Modeling of the Elastic Behavior of Metallic Open-Cell Foams

Ćwieka

Wejrzanowski

Kurzydłowski

2017

Archives of Metallurgy and Materials

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In the present paper we present the approach for modeling of the elastic behavior of open-cell metallic foams concerning non-uniform pore size distribution. This approach combines design of foam structures and numerical simulations of compression tests using finite element method (FEM). In the design stage, Laguerre-Voronoi tessellations (LVT) were performed on several sets of packed spheres with defined variation of radii, bringing about a set of foam structures with porosity ranging from 74 to 98% and different pore size variation quantified by the coefficient of pore volume variation, CV(V), from 0.5 to 2.1. Each structure was numerically subjected to uni-axial compression test along three directions within the elastic region. Basing on the numerical response, the effective Young's modulus, E eff , was calculated for each structure. It is shown that the E eff is not only dependent on the porosity but also on the pore size variation.

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Structure of foams modeled by Laguerre–Voronoi tessellations

Cited by 89 publications

References 30 publications

Design of Mechanical Properties of Open-Cell Porous Materials Based on μCT Study of Commercial Foams

Design of Mechanical Properties of Open-Cell Porous Materials Based on μCT Study of Commercial Foams

An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets

Incorporation of the Pore Size Variation to Modeling of the Elastic Behavior of Metallic Open-Cell Foams

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