Micromechanical modeling of effective elastic properties of open-cell foam

Zhu, Wenqi; Blal, Nawfal; Cunsolo, S.; Baillis, Dominique

doi:10.1016/j.ijsolstr.2017.02.031

Cited by 25 publications

(27 citation statements)

References 49 publications

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“…Since the structures are random, for each set of models, numerous structures were generated and the statistical average value was calculated as the result. Furthermore, the number of realizations was determined by the convergence criterion [16,39], that is,…”

Section: Boundary Value Problemmentioning

confidence: 99%

“…Thanks to their remarkable energy absorption [3][4][5] and vibration damping [6], metallic porous materials can be applied in the automotive industry. Hence over the years, people have paid much attention to the thermal properties [1,[7][8][9][10][11][12] and the mechanical properties [4,5,[13][14][15][16][17][18] of porous materials. Catalyst carrier [19], high-temperature applications [20,21], sandwich panels [22] and porous electrode for fuel cell [19] are also typical examples of porous material applications.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of the Light Transmittance in Macroporous Silica

Zhu

Guo

et al. 2020

Materials

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This paper focuses on the light transmittance of macroporous silica as a photocatalyst carrier. In addition to the characteristics of photocatalysts, the structure of porous bulk is also important since it affects the propagation of light. Realistic porous structures are generated by a Voronoi-based approach. Four morphological parameters are highly controlled during generating, that is, porosity, coefficient of variation, diameter ratio and normalized curvature. Finite element method (FEM) is used to simulate the propagation of light in the porous models in the visible light range. The intensity shows a quadratic decrease with the increase of the depth of light propagation. The influences of the morphological parameters on the light transmittance are analysed. It turns out that the porosity has a great influence on the light transmittance while the coefficient of variation and the diameter ratio have small ones. Moreover, the influence of the normalized curvature is little. Besides, the effect of the wavelength of visible light can not be ignored. With the simulation, the depth of visible light entering the porous silica can be estimated, which is challenging to access experimentally.

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Section: Boundary Value Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulation of the Light Transmittance in Macroporous Silica

Zhu

Guo

et al. 2020

Materials

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“…The structures directly reconstructed with tomography slices are usually non-periodic; thus, it is difficult to impose the periodic boundary condition on non-periodic structures [21]. While the Voronoi diagram [22] is usually used to generate periodic foam structures [10,21,23,24,25]. In this current work, we investigate the influences of different boundary conditions on the results.…”

Section: Introductionmentioning

confidence: 99%

“…Yu and Tang [34] proposed a method named the variational asymptotic method for unit cell homogenization (VAMUCH) in which a variational statement is formulated with an asymptotic expansion of the energy functional. Inspired by this VAMUCH method, Zhu et al [25] recently proposed a micromechanical modeling approach based on Hill’s lemma to determine the effective elastic properties of open-cell foams. These two approaches have the advantages that with only one finite element computation, one can obtain the effective properties without imposing any specific boundary loadings or averaging the local fields.…”

Section: Introductionmentioning

confidence: 99%

“…Numerical irregular closed-cell structures are generated by the recent Voronoi-based approach using morphological descriptions [35]. Hill’s lemma periodic computational homogenization approach [21,25] is used to predict the effective elastic properties of irregular closed-cell foam models. The influence of the Representative Volume Element (RVE) parameters (the number of realizations and the RVE volume) and the relative density are analyzed.…”

Section: Introductionmentioning

confidence: 99%

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Effective Elastic Behavior of Irregular Closed-Cell Foams

et al. 2018

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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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Simulation of Mechanical Properties of Injection‐Molded Thermoplastic Foam Structures

Oikonomou,

Heim

2024

Adv Eng Mater

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This article presents an approach regarding the interlinking of simulation programs to determine mechanical properties of foamed polymers. The software Moldex3D is used to simulate the heterogeneous foam structure, which serves as a database for the material modelling. This material modelling is performed with the software Digimat and evaluated using various modeling approaches. The material models are characterized on the one side by a homogeneous structure and on the other by the simulated heterogeneous foam structure. In addition, different failure indicators are used and evaluated, which were originally developed for fiber reinforced materials. The simulation of the tensile test is carried out with the software Marc‐Mentat. Here, local stresses and strains are calculated, which reach a maximum value due to the influence of the failure indicators. The results are used to show the extent to which the integration of the heterogeneous foam structure proves to be beneficial. It is additionally demonstrated that the applied failure indicators cannot be used for the prediction of maximum stress and strain simultaneously. Thus, for the time of this study, it is formulated to include both indicators in order to calculate the maximum stress and strain or to evaluate alternative approaches regarding failure prognosis.This article is protected by copyright. All rights reserved.

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Micromechanical modeling of effective elastic properties of open-cell foam

Cited by 25 publications

References 49 publications

Simulation of the Light Transmittance in Macroporous Silica

Simulation of the Light Transmittance in Macroporous Silica

Effective Elastic Behavior of Irregular Closed-Cell Foams

Simulation of Mechanical Properties of Injection‐Molded Thermoplastic Foam Structures

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