Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites

Schneider, Konrad; Klusemann, Benjamin; Bargmann, Swantje

doi:10.1016/j.advengsoft.2016.06.001

Cited by 48 publications

(19 citation statements)

References 26 publications

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“…The generated microstructures are meshed in order to calculate their elastic properties by FEA and to recognize the less anisotropic microstructures as reasonnable RVEs. The Netgen free meshing software (Schberl, 1997;Schneider et al, 2016) conveniently generates periodic meshes and lists the periodic displacement constraints to be used by the finite element code Abaqus (2014). Most FEAs of monosized spheres systems previously performed in the literature (Gusev, 1997;Segurado and Llorca, 2002;Barello and Levesque, 2008) were based on RVEs with limited minimum interparticle distances (δ) for improving the mesh quality.…”

Section: Fea Frameworkmentioning

confidence: 99%

Representative volume elements for the simulation of isotropic composites highly filled with monosized spheres

Francqueville

Pierre

Diani

2019

International Journal of Solids and Structures

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A method is proposed for generating reliable representative volume elements (RVEs) that allows reducing the statistical analysis required for the simulation of the mechanical behavior of isotropic composites highly filled with monosized spheres. The method combines (i) an algorithm inspired from molecular dynamics and associated with an analytical equation of state, and (ii) a geometrical analysis using the two-point correlation function and a nearest-neighbor distribution function. A restrictive selection process is defined, which leads to microstructures reasonably close to randomness and isotropy. The pertinence of the proposed generation and selection of RVEs is confirmed by the simulation of their elastic behavior with the finite element method. In particular, it is shown how the selection procedure allows reducing the computational effort required to reach reliable elastic moduli by operating on a limited number of suitable RVEs. The results are in good agreement with the generalized self-consistent model and with original experimental data obtained on a composite where an acrylate matrix was reinforced by sifted glass beads.

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Section: Fea Frameworkmentioning

confidence: 99%

Representative volume elements for the simulation of isotropic composites highly filled with monosized spheres

Francqueville

Pierre

Diani

2019

International Journal of Solids and Structures

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“…Finite element analyses have been carried out using Abaqus (2018) finite element code, for is its proven ability to cope with large strain and with interface debonding through cohesive-zone models (Park and Paulino, 2011). First, a conforming periodic mesh of ten-node quadratic tetrahedra was obtained with the Netgen free software (Schneider et al, 2016), which is able to list the displacement constraints required to apply periodic boundary conditions. This process included mesh refinements in areas of near-to-touch spheres to avoid element distortions.…”

Section: Microstructure Generation and Numerical Frameworkmentioning

confidence: 99%

Relationship between local damage and macroscopic response of soft materials highly reinforced by monodispersed particles

Francqueville

Pierre

Diani

et al. 2020

Mechanics of Materials

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A rubberlike matrix highly filled with spherical micrometric glass beads is submitted to uniaxial tension tests until break. X-ray tomography imaging performed on the material while submitted to uniaxial tension reveals early debonding at the matrix/filler interfaces at the poles of the particles followed by void coalescence creating damage localization. The latter causes a downturn of the macroscopic stress-strain response. These phenomena are analyzed further with three-dimensional finite element simulations, where 64 spherical beads are distributed randomly in a periodic cell. A simple version of the Tvergaard-Hutchinson cohesive-zone model allows to reproduce all the experimental trends well. The effects of the three parameters involved are analyzed, and three different types of macroscopic behaviors are observed corresponding to three different microstructure damages. The value of the initial stiffness of the interface, limited by numerical convergence, has little effect on how the local damage evolves but has a significant impact on the overall macroscopic stress values. The local damage is strongly dependent on the critical strength and the separation failure displacement, and the adhesion energy may be considered as a resulting parameter of the two previous ones. The interfacial critical strength appears to have a significant impact on the damage initiation, either spread across the structure for low values, or localized for high values. Increasing the interface separation failure displacement delays the possible loss of adhesion to a higher strain and preserves the integrity of the composite material.

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“…10) With the rapid development of computer performance and software, three-dimensional (3D) numerical analysis is becoming more popular in recent years. 11) In order to create a finite element model used for such 3D numerical analysis, detailed experimental data on the position and shape of inclusions in a 3D space is essential. Besides, the importance of modeling across multiple length scales is undoubtedly recognized in performance prediction of structural materials.…”

Section: Multiscale Analysis Of Mns Inclusion Distributions In High Smentioning

confidence: 99%

Multiscale Analysis of MnS Inclusion Distributions in High Strength Steel

et al. 2020

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Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites

Cited by 48 publications

References 26 publications

Representative volume elements for the simulation of isotropic composites highly filled with monosized spheres

Representative volume elements for the simulation of isotropic composites highly filled with monosized spheres

Relationship between local damage and macroscopic response of soft materials highly reinforced by monodispersed particles

Multiscale Analysis of MnS Inclusion Distributions in High Strength Steel

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