Versatile algorithms for the computation of 2-point spatial correlations in quantifying material structure

This paper presents a generalized framework along with the associated computational strategies for a rigorous quantification of the material structure in a range of different applications using the framework of 2-point spatial correlations. In particular, we focus on applications requiring different...

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Bibliographic Details
Published in:Integrating materials and manufacturing innovation Vol. 5; no. 1; pp. 1 - 15
Main Authors: Cecen, Ahmet, Fast, Tony, Kalidindi, Surya R.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 15.01.2016
Springer Nature B.V
Subjects:
Algorithms
Analysis
Case studies
Characterization and Evaluation of Materials
Composite materials
Computation
Engineering
Fourier transforms
Manufacturing
Materials Science
Metallic Materials
Microstructure
Nanotechnology
Periodic variations
Principal components analysis
Production methods
Structural Materials
Studies
Surfaces and Interfaces
Thin Films
Rigorous Quantification
Irregular Domain
Fast Fourier Transform Algorithm
Microstructure Domain
Spatial Correlation
ISSN:2193-9764, 2193-9772
Online Access:Get full text
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Summary:This paper presents a generalized framework along with the associated computational strategies for a rigorous quantification of the material structure in a range of different applications using the framework of 2-point spatial correlations. In particular, we focus on applications requiring different assumptions about the periodicity and/or involving irregular domain shapes and potentially extremely large datasets. Important details of the computational algorithms needed to address these challenges are developed and illustrated with example case studies. Algorithms developed and presented in this work are available at http://dx.doi.org/ https://doi.org/10.5281/zenodo.31329 .
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ISSN:2193-9764
2193-9772
DOI:10.1186/s40192-015-0044-x