Assessing the Systematic and Random Error From a Single Snapshot in Stochastic Homogenization of Industrial Scale Composites

ABSTRACT We estimate effective linear elastic properties from a single microstructure image using a sliding‐window subsampling strategy applied to fields obtained by computational micromechanics. The method yields both mean properties and variance estimates without requiring multiple realizations. We compare against a classical RVE study with 7500 microstructures and demonstrate comparable accuracy at significantly reduced computational cost. Variance reduction based on volume fraction matching is shown to significantly reduce both random and systematic errors, despite strong correlations between samples.

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Publication Details

Journal
PAMM
Published
2026-08-14
DOI
https://doi.org/10.1002/pamm.70183
Primary Topic
Composite Material Mechanics
Type
article
Field-Weighted Citation Impact
0.00

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article

Assessing the Systematic and Random Error From a Single Snapshot in Stochastic Homogenization of Industrial Scale Composites

Matti Schneider, Tim Sentler
PAMM
Composite Material Mechanics
article

Assessing the Systematic and Random Error From a Single Snapshot in Stochastic Homogenization of Industrial Scale Composites

Matti Schneider, Tim Sentler
article en

Abstract

ABSTRACT We estimate effective linear elastic properties from a single microstructure image using a sliding‐window subsampling strategy applied to fields obtained by computational micromechanics. The method yields both mean properties and variance estimates without requiring multiple realizations. We compare against a classical RVE study with 7500 microstructures and demonstrate comparable accuracy at significantly reduced computational cost. Variance reduction based on volume fraction matching is shown to significantly reduce both random and systematic errors, despite strong correlations between samples.

PAMMVol. 26(4)
Fraunhofer Institute for Industrial Mathematics (DE), University of Duisburg-Essen (DE)
European Research Council
Industry, innovation and infrastructure
Openalex Percentile: Top 17%
Composite Material Mechanics
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Assessing the Systematic and Random Error From a Single Snapshot in Stochastic Homogenization of Industrial Scale Composites — Matti Schneider, Tim Sentler · PAMM (2026) | TGRS Research Map | TGRS