Effective Elastic Behavior of Irregular Closed-Cell Foams

This paper focuses on the computational modeling of the effective elastic properties of irregular closed-cell foams. The recent Hill’s lemma periodic computational homogenization approach is used to predict the effective elastic properties. Three-dimensional (3D) rendering is reconstructed with the tomography slices of the real irregular closed-cell foam. Its morphological description is analysed to generate realistic numerical closed-cell structures by the Voronoi-based approach. The influences of the Representative Volume Element (RVE) parameters (i.e., the number of realizations and the volume of RVE) and the relative density on the effective elastic properties are studied. Special emphasis is placed on the appropriate choice of boundary conditions. Satisfying agreements between the homogenized results and the experimental results are observed.

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Representative volume element and effective elastic properties of open cell foam materials with random microstructures

Journal of Mechanics of Materials and Structures ◽

10.2140/jomms.2007.2.1607 ◽

2007 ◽

Vol 2 (8) ◽

pp. 1607-1628 ◽

Cited By ~ 17

Author(s):

Sergey Kanaun ◽

Oleksandr Tkachenko

Keyword(s):

Elastic Properties ◽

Representative Volume Element ◽

Volume Element ◽

Open Cell ◽

Effective Elastic Properties ◽

Representative Volume ◽

Open Cell Foam ◽

Cell Foam

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Open-Cell Foam Metal Production and Characterization by Aluminum Solid Mold Investment Casting

Encyclopedia of Aluminum and Its Alloys ◽

10.1201/9781351045636-140000238 ◽

2019 ◽

Author(s):

Kerem Altug Guler

Keyword(s):

Investment Casting ◽

Replication Process ◽

Open Cell ◽

Metal Fabrication ◽

Cell Structures ◽

Closed Cell ◽

Small Complex ◽

Open Cell Foam ◽

Foam Metal ◽

Cell Foam

Foam metals can be categorized in two basic classes: open-cell and closed-cell structures, which both have different numerous unique properties. Up to the present, several production processes have been developed for each class. Investment casting is known as a replication process for open-cell foam metal fabrication. Solid mold, which can be evaluated as a subtechnique of the investment casting, is specialized especially for small complex shapes with ultrathin sections. This work is a presentation of aluminum open-cell foam production with solid mold investment casting using two different kinds of patterns. The first one is “burnable,” in which liquid metal directly fills the shape of pattern and the second is “leachable,” in which metal takes the form of intergranular network shape of porous salt preforms.

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An ultra-simple universal model for the effective elastic properties of isotropic 3D closed-cell porous materials

Composite Structures ◽

10.1016/j.compstruct.2020.112531 ◽

2020 ◽

Vol 249 ◽

pp. 112531

Author(s):

Pingping Yang ◽

Ning Hu ◽

Xiaojun Guo ◽

Leiting Dong ◽

Yang Chen ◽

...

Keyword(s):

Porous Materials ◽

Elastic Properties ◽

Universal Model ◽

Effective Elastic Properties ◽

Closed Cell

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Numerical Prediction of the Effective Thermal Conductivity of Open- and Closed-Cell Foam Structures

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.297-301.1210 ◽

2010 ◽

Vol 297-301 ◽

pp. 1210-1217 ◽

Cited By ~ 4

Author(s):

Seyed Mohammad Hossein Hosseini ◽

Andreas Öchsner ◽

Thomas Fiedler

Keyword(s):

Thermal Conductivity ◽

Thermal Properties ◽

Relative Density ◽

Effective Thermal Conductivity ◽

Linear Trend ◽

Space Filling ◽

Open Cell ◽

Cell Structures ◽

Closed Cell ◽

Cell Foam

This paper investigates the thermal properties of metallic open-cell and closed-cell foam structures in space filling and non-space filling configurations. In both, i.e. open-cell and closed-cell structures, a linear trend depending on the relative density has been reported. However the closed-cell structures compared to open-cell ones have a higher thermal conductivity for the same relative density.

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Micromechanical modeling of effective elastic properties of open-cell foam

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2017.02.031 ◽

2017 ◽

Vol 115-116 ◽

pp. 61-72 ◽

Cited By ~ 14

Author(s):

Wenqi Zhu ◽

Nawfal Blal ◽

Salvatore Cunsolo ◽

Dominique Baillis

Keyword(s):

Elastic Properties ◽

Micromechanical Modeling ◽

Open Cell ◽

Effective Elastic Properties ◽

Open Cell Foam ◽

Cell Foam

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On crushing response of the three-dimensional closed-cell foam based on Voronoi model

Mechanics of Materials ◽

10.1016/j.mechmat.2013.08.009 ◽

2014 ◽

Vol 68 ◽

pp. 85-94 ◽

Cited By ~ 45

Author(s):

Zhiqiang Li ◽

Jianjun Zhang ◽

Jianhui Fan ◽

Zhihua Wang ◽

Longmao Zhao

Keyword(s):

Three Dimensional ◽

Closed Cell ◽

Cell Foam

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Engineering Three Dimensional Nanotextured Opal-Like Silica Foams

MRS Proceedings ◽

10.1557/proc-0901-ra22-20-rb22-20 ◽

2005 ◽

Vol 901 ◽

Author(s):

Florent Carn ◽

Pascal Massé ◽

Serge Ravaine ◽

Rénal Backov

Keyword(s):

Volume Fraction ◽

Three Dimensional ◽

Good Control ◽

Water Volume ◽

Porous Scaffolds ◽

Void Space ◽

Cell Structures ◽

Closed Cell ◽

Water Volume Fraction ◽

Liquid Foam

AbstractNovel meso-/macroporous SiO2 monoliths have been reached by applying a nanotectonic pathway within a confined geometry, i.e. a non-static air-liquid foam patterning process. Final scaffolds are a very close transcription of the tailored periodic air-liquid foam template while coalesced silica particles are texturing the as-synthesized foam walls. The interconnected nanoparticles and associated void space between adjacent particles allow generating intrinsic mesopores, thereby defining hierarchically organized porous scaffolds. The good control over both the air-liquid foam’s water volume fraction and the bubble size allow a rational tuning of the macropore shape (diameter, Plateau border’s width). In contrast with previous study, closed-cell structures can be reached, while the opal like scaffold structure is maintained with thermal treatment, avoiding thus strong shrinkage associated to the sintering effect.

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Computation of Effective Elastic Properties Using a Three-Dimensional Semi-Analytical Approach for Transversely Isotropic Nanocomposites

Applied Sciences ◽

10.3390/app11041867 ◽

2021 ◽

Vol 11 (4) ◽

pp. 1867

Author(s):

Monica Tapia ◽

Y. Espinosa-Almeyda ◽

R. Rodríguez-Ramos ◽

José A. Otero

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elastic Properties ◽

Three Dimensional ◽

Transversely Isotropic ◽

Geometrical Shape ◽

Effective Elastic Properties ◽

Periodic Cell ◽

Local Problems ◽

Element Method

A three-dimensional semi-analytical finite element method (SAFEM-3D) is implemented in this work to calculate the effective properties of periodic elastic-reinforced nanocomposites. Different inclusions are also considered, such as discs, ellipsoidals, spheres, carbon nanotubes (CNT) and carbon nanowires (CNW). The nanocomposites are assumed to have isotropic or transversely isotropic inclusions embedded in an isotropic matrix. The SAFEM-3D approach is developed by combining the two-scale asymptotic homogenization method (AHM) and the finite element method (FEM). Statements regarding the homogenized local problems on the periodic cell and analytical expressions of the effective elastic coefficients are provided. Homogenized local problems are transformed into boundary problems over one-eighth of the cell. The FEM is implemented based on the principle of the minimum potential energy. The three-dimensional region (periodic cell) is divided into a finite number of 10-node tetrahedral elements. In addition, the effect of the inclusion’s geometrical shape, volume fraction and length on the effective elastic properties of the composite with aligned or random distributions is studied. Numerical computations are developed and comparisons with other theoretical results are reported. A comparison with experimental values for CNW nanocomposites is also provided, and good agreement is obtained.

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An Ultra-Simple Universal Model for the Effective Elastic Properties of 3D Closed-Cell Porous Materials

SSRN Electronic Journal ◽

10.2139/ssrn.3441474 ◽

2019 ◽

Author(s):

Pingping Yang ◽

Xiaojun Guo ◽

Leiting Dong ◽

Yang Chen ◽

Zaoyang Guo ◽

...

Keyword(s):

Porous Materials ◽

Elastic Properties ◽

Universal Model ◽

Effective Elastic Properties ◽

Closed Cell

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Random Bulk Properties of Heterogeneous Rectangular Blocks With Lognormal Young's Modulus: Effective Moduli

Journal of Applied Mechanics ◽

10.1115/1.4028783 ◽

2015 ◽

Vol 82 (1) ◽

Cited By ~ 10

Author(s):

Leon S. Dimas ◽

Daniele Veneziano ◽

Tristan Giesa ◽

Markus J. Buehler

Keyword(s):

Young’S Modulus ◽

Elastic Properties ◽

Young's Modulus ◽

Three Dimensional ◽

Heterogeneous Materials ◽

Effective Elastic Properties ◽

Specific Effects ◽

Spatial Fluctuations ◽

2D And 3D ◽

Good Agreement

We investigate the effective elastic properties of disordered heterogeneous materials whose Young's modulus varies spatially as a lognormal random field. For one-, two-, and three-dimensional (1D, 2D, and 3D) rectangular blocks, we decompose the spatial fluctuations of the Young's log-modulus F=lnE into first- and higher-order terms and find the joint distribution of the effective elastic tensor by multiplicatively combining the term-specific effects. The analytical results are in good agreement with Monte Carlo simulations. Through parametric analysis of the analytical solutions, we gain insight into the effective elastic properties of this class of heterogeneous materials. The results have applications to structural/mechanical reliability assessment and design.

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