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Optimized structure based representative volume element sets reflecting the ensemble-averaged 2-point statistics
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DOI：10.1016/j.actamat.2010.04.041.png)
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The concept of a representative volume element (RVE) is central to the establishment of robust microstructure-processing-property relationships in all hierarchical material systems. In this paper, we develop the main concepts underlying the rigorous definition of an RYE that reflects the complete set of 2-point statistics gathered from an ensemble of available microstructure data sets. In particular, it is shown that it is often impossible to identify a single realization of finite extent that meets this criterion. Instead, it is much more convenient to visualize the RYE as a weighted combination of specific realizations. These weighted combinations are referred to as RYE Sets in this work. This paper presents and validates a clear and precise definition of RVE Sets and their important role in efficiently capturing structure-property relationships in a number of material systems. (C) 2010 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
Keyword:
Microstructure
Representative volume element
2-Point correlations
Statistics
Structure-property relationships
期刊
IF:
9.3
论文数:
2.0W
被引数:
12.9W
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引用论文
Finite approximations to the second-order properties closure in single phase polycrystals.png)
ACTA MATERIALIA
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ACTA MATERIALIAIF9.3
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