@inbook {1536,
	title = {Multi-scale Microstructure and Property-Based Statistically Equivalent RVEs for Modeling Nickel-Based Superalloys},
	booktitle = {Integrated Computational Materials Engineering (ICME): Advancing Computational and Experimental Methods},
	year = {2020},
	pages = {55{\textendash}90},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {<p>
	This chapter discusses fundamental aspects of the development of statistically equivalent virtual microstructures (SEVMs) and microstructure and property-based statistically equivalent representative volume elements (M-SERVE and P-SERVE) of the Ni-based superalloy at multiple scales. The two specific scales considered for this development are the subgrain scale of intragranular \&gamma;\thinspace\&acirc;\thinspace\&gamma;\textasciiacutex microstructures and the polycrystalline scale of grain ensembles with annealing twins. A comprehensive suite of computational methods that can translate microstructural data in experimental methods to optimally defined representative volumes for effective micromechanical modeling is the objective of this study. The framework involves a sequence of tasks, viz., serial sectioning, image processing, feature extraction, and statistical characterization, followed by micromechanical analysis and convergence tests for statistical functions. A principal motivation behind this paper is to translate high-fidelity microstructural image data into statistics of parametric descriptors in constitutive laws governing material performance.
</p>
},
	isbn = {978-3-030-40562-5},
	doi = {10.1007/978-3-030-40562-5_3},
	url = {https://doi.org/10.1007/978-3-030-40562-5_3},
	author = {Ghosh, Somnath and Weber, George and Pinz, Maxwell and Bagri, Akbar and Pollock, Tresa M. and Lenthe, Will and Stinville, Jean-Charles and Uchic, Michael D. and Woodward, Christopher},
	editor = {Ghosh, Somnath and Woodward, Christopher and Przybyla, Craig}
}
@article {1456,
	title = {Microstructure and property based statistically equivalent RVEs for intragranular γ-γ{\textquoteright} microstructures of Ni-based superalloys},
	journal = {Acta Materialia},
	volume = {157},
	year = {2018},
	pages = {245{\textendash}258},
	abstract = {<p>
	This paper develops statistically equivalent RVEs or SERVEs for intragranular microstructures of Ni-based superalloys, characterized by \&gamma;-\&gamma;\&$\#$39; phase distribution. The SERVE represents an optimal computational domain to be used for micromechanical simulations for effective properties or response variables in the microstructure. The SERVE is further classified as a microstructure-based SERVE or M-SERVE or property-based SERVE or P-SERVE, depending on whether the statistics of morphological characteristics or convergence of chosen material properties are its determinants. Starting from FIB-SEM data for the superalloy Ren\&eacute; 88DT, the paper systematically develops a host of algorithms for generating validated statistically equivalent virtual microstructures, from which the M-SERVE is estimated from convergence of selected morphological and spatial distributions. Subsequently the P-SERVEs are established for global properties like yield strength and hardening rate, and local variables including dislocation density and the maximum resolved shear stress. Spatially-averaged quantities are found to converge quicker than the local distributions for both M-SERVE and P-SERVE.
</p>
},
	keywords = {M-SERVE, Ni-based superalloys, P-SERVE, SEVM, Two-point correlation function, γ-γ{\textquoteright} distribution},
	issn = {13596454},
	doi = {10.1016/j.actamat.2018.07.034},
	url = {https://doi.org/10.1016/j.actamat.2018.07.034},
	author = {Pinz, M. and Weber, G. and Lenthe, W. C. and Uchic, M. D. and Pollock, T. M. and Ghosh, S.}
}
@article {pollock1992grain,
	title = {Grain defect formation during directional solidification of nickel base single crystals},
	journal = {Superalloys 1992},
	year = {1992},
	pages = {125{\textendash}134},
	publisher = {The Minerals, Metals and Materials Society Warrendale, PA},
	author = {Pollock, TM and Murphy, WH and Goldman, EH and Uram, DL and Tu, JS}
}
