Finite element simulation of mechanical behaviour of nickel-based metallic foam structures

Sid-Ali, Kaoua; Dahmoun, Djaffar; Belhadj, Abd-Elmouneïm; Azzaz, M.

doi:10.1016/j.jallcom.2008.03.069

Cited by 19 publications

(6 citation statements)

References 13 publications

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“…In addition, it is observed that the variation in cell size distribution has stronger influence compared to changes of the cross-sectional ligament profile. Our finding that more regular foam structures lead to a higher effective stiffness is in good agreement with, for example, Kaoua et al [35] In their work, they consider foams with quadratic unit cells under varying strut alignment and find the stiffness in a range of approximately factor 1.27 between perfectly aligned and irregularly aligned struts.…”

Section: Parametric Studies For Varying Foam Geometriessupporting

confidence: 92%

Simulative Determination of Effective Mechanical Properties for Digitally Generated Foam Geometries

Reder,

Holland-Cunz,

Lorson

et al. 2023

Adv Eng Mater

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Metal foams constitute a promising and emerging material class in the context of lightweight construction. There exists a variety of different foam topologies, on which resulting mechanical properties depend. To maximize the potential of foams in material use under mechanical load, the present work addresses the question how different geometrical parameters influence the material behaviour. Therefore, an algorithm for digital generation and design of open pore foam structures is presented, that allows to regulate the geometry precisely. A method for retrieving effective mechanical properties from numerical simulations of compression tests in the elastic regime is introduced. Additionally, the representativeness of foam volumes considered for simulations is investigated. This yields a fully digital workflow, which enables the investigation of geometry influence on mechanical properties. This approach is used to conduct simulation studies on generated foam structures with a systematic variation of geometrical parameters. Herein, a range of effective Young's moduli varying by up to a factor of 1.3 for different foam structures at the same porosity is found. This shows a significant impact of the foam geometry on the elastic properties of metal foams. The presented methodology yields insights, which can guide design and optimization of materials for specific applications.

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Section: Parametric Studies For Varying Foam Geometriessupporting

confidence: 92%

Simulative Determination of Effective Mechanical Properties for Digitally Generated Foam Geometries

Reder,

Holland-Cunz,

Lorson

et al. 2023

Adv Eng Mater

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“…Нерегулярные пенообразные и ячеистые структуры с клетками, отличными от ячеек Гибсона-Эшби, исследовались теоретическими, экспериментальными и численными методами в [25][26][27][28][29][30][31][32]. Нерегулярные решетки из ячеек Гибсона-Эшби изучались в [33,34].…”

Section: Introductionunclassified

Comparison of foam models from regular and irregular arrays of Gibson-Ashby open-cells

Kornievsky

С²,

Наседкин

et al. 2021

PNRPU Mechanics Bulletin

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The paper studies effective elastic properties of foam or cellular materials modeled by a set of Gibson-Ashby open cells with regular or irregular structures. Currently, there are many papers that present results of studying cellular materials using theoretical, numerical and experimental methods. However, these papers consider either regular lattices, or a single cell, or representative volume models based not on the Gibson-Ashby models. In this paper, in addition to the regular lattice, irregular structures were numerically studied. A mathematical formulation of the homogenization problem based on the energy equivalence of a foam-like material and on a homogeneous comparison medium is described. Formulations of six boundary value problems are presented. The solutions of these problems allow us to determine a complete set of effective stiffness modules for foams with different types of physical and geometric anisotropies. All stages of the numerical study were implemented in the ANSYS finite element package. Two algorithms for forming solid-state and finite-element models of irregular Gibson-Ashby lattices with small and large porosity are described in detail. As an example, numerical calculations are carried out for polycarbonate foams. The values of the effective elastic modules for regular and irregular lattices and for the Gibson-Ashby analytical model are compared. The results of numerical experiments showed that the Gibson-Ashby model describes the behavior of highly porous materials quite well (for porosity more than 75%), but this model gives a less satisfactory prediction in case of lower porosity. It is noted that for a large number of cells, regular and irregular lattices statistically give similar results for effective modules. However, for individual structures of irregular lattices, especially with strongly differing cells in individual directions, the effective moduli can have significantly different values, and the effective homogeneous medium can have pronounced anisotropic properties. These effects are due to geometric anisotropy and stress concentration in long connecting beams and at the joints of beams of various sizes in highly irregular Gibson-Ashby lattices. Examples of such lattices are given. We analyze the scatter of value for relative modules, which characterizes the anisotropy of such structures.

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“…Therefore, general conclusions which ideally should require broader parametric studies are difficult to reach. Another class of models that may bring valuable insight on this aspect makes use of idealized microstructure geometry descriptions to explore and understand elementary mechanisms related with the particular morphology of the material [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In spite of the fact that such models cannot fully resemble scanned data, they provide the opportunity to single out the influence of specific morphological parameters of the material for various physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

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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Finite element simulation of mechanical behaviour of nickel-based metallic foam structures

Cited by 19 publications

References 13 publications

Simulative Determination of Effective Mechanical Properties for Digitally Generated Foam Geometries

Simulative Determination of Effective Mechanical Properties for Digitally Generated Foam Geometries

Comparison of foam models from regular and irregular arrays of Gibson-Ashby open-cells

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

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