Coupled-volume multi-scale modelling of quasi-brittle material

I. M. Gitman; H. Askes; L. J. Sluys

doi:10.1016/j.euromechsol.2007.10.004

Coupled-volume multi-scale modelling of quasi-brittle material

I. M. Gitman^*, H. Askes, L. J. Sluys

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

133 Citations (Scopus)

Abstract

The hierarchical multi-scale procedure is analysed in this paper. A local multi-scale model has been studied with respect to the macro-level mesh size and meso-level cell size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, a strong dependency on both macro-level mesh size and meso-level cell size in case of softening has been found. In order to eliminate both macro-level mesh size and meso-level cell size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter "macro-level mesh size" with the model parameter "meso-level cell size". The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh size or meso-level cell size.

Original language	English
Pages (from-to)	302-327
Number of pages	26
Journal	European Journal of Mechanics, A/Solids
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/j.euromechsol.2007.10.004
Publication status	Published - May 2008
Externally published	Yes

Keywords

Coupled-volume multi-scale model
Homogenisation
Local model
Multi-scale
Non-local model
n/a OA procedure

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10.1016/j.euromechsol.2007.10.004

Cite this

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title = "Coupled-volume multi-scale modelling of quasi-brittle material",

abstract = "The hierarchical multi-scale procedure is analysed in this paper. A local multi-scale model has been studied with respect to the macro-level mesh size and meso-level cell size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, a strong dependency on both macro-level mesh size and meso-level cell size in case of softening has been found. In order to eliminate both macro-level mesh size and meso-level cell size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter {"}macro-level mesh size{"} with the model parameter {"}meso-level cell size{"}. The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh size or meso-level cell size.",

keywords = "Coupled-volume multi-scale model, Homogenisation, Local model, Multi-scale, Non-local model, n/a OA procedure",

author = "Gitman, {I. M.} and H. Askes and Sluys, {L. J.}",

year = "2008",

month = may,

doi = "10.1016/j.euromechsol.2007.10.004",

language = "English",

volume = "27",

pages = "302--327",

journal = "European Journal of Mechanics, A/Solids",

issn = "0997-7538",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Coupled-volume multi-scale modelling of quasi-brittle material

AU - Gitman, I. M.

AU - Askes, H.

AU - Sluys, L. J.

PY - 2008/5

Y1 - 2008/5

N2 - The hierarchical multi-scale procedure is analysed in this paper. A local multi-scale model has been studied with respect to the macro-level mesh size and meso-level cell size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, a strong dependency on both macro-level mesh size and meso-level cell size in case of softening has been found. In order to eliminate both macro-level mesh size and meso-level cell size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter "macro-level mesh size" with the model parameter "meso-level cell size". The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh size or meso-level cell size.

AB - The hierarchical multi-scale procedure is analysed in this paper. A local multi-scale model has been studied with respect to the macro-level mesh size and meso-level cell size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, a strong dependency on both macro-level mesh size and meso-level cell size in case of softening has been found. In order to eliminate both macro-level mesh size and meso-level cell size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter "macro-level mesh size" with the model parameter "meso-level cell size". The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh size or meso-level cell size.

KW - Coupled-volume multi-scale model

KW - Homogenisation

KW - Local model

KW - Multi-scale

KW - Non-local model

KW - n/a OA procedure

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U2 - 10.1016/j.euromechsol.2007.10.004

DO - 10.1016/j.euromechsol.2007.10.004

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JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

IS - 3

ER -

Coupled-volume multi-scale modelling of quasi-brittle material

Abstract

Keywords

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