2017
DOI: 10.1016/j.cossms.2016.05.002
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Microstructure-based knowledge systems for capturing process-structure evolution linkages

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Cited by 41 publications
(29 citation statements)
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“…In prior work [73, 82, 83], it was found that spectral representations on functions on the local state space offered many advantages both in compact representation as well as in reducing the computational cost. In such cases, h indexes the spectral basis functions employed.…”
Section: Theoretical Foundations Of Materials Knowledge Systemsmentioning
confidence: 99%
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“…In prior work [73, 82, 83], it was found that spectral representations on functions on the local state space offered many advantages both in compact representation as well as in reducing the computational cost. In such cases, h indexes the spectral basis functions employed.…”
Section: Theoretical Foundations Of Materials Knowledge Systemsmentioning
confidence: 99%
“…The selection of these functions depends on the nature of local state descriptors. Examples include: (i) the primitive basis (or indicator functions) used to represent simple tessellation schemes [71, 72, 7479, 84], (ii) generalized spherical harmonics used to represent functions over the orientation space [73, 82], and (iii) Legendre polynomials used to represent functions over the concentration space [83]. …”
Section: Theoretical Foundations Of Materials Knowledge Systemsmentioning
confidence: 99%
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“…Previous studies have successfully used these protocols to create structure-property linkages with effective properties or microstructure classification models that could be used to objectively quantify the variation in microstructures due to changes in manufacturing processes [13,29,30,34]. A related protocol for localization (i.e., top-down scale-bridging) has also been applied successfully to a variety of multiscale material phenomena [12,[24][25][26][27]32]. While previous MKS studies have successfully captured structure-property linkages, the application of the same framework to establishing process-structure evolution linkages requires the extensions developed and presented in this paper.…”
Section: Theoretical Frameworkmentioning
confidence: 99%