Abstract
Materials are, by their very nature, stochastic. Modeling materials across scales requires models that capture this inherent stochasticity. In this chapter, preceding a section on stochastic, coarse-grained models, we examine the elements of stochasticity and coarse-graining and the different implementations of each. Examples of the methods are also briefly discussed.
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Acknowledgments
ERH was supported by the National Science Foundation under Award no. DMR-1507095. YC was supported by the National Science Foundation under Award no. DMR-1352524.
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Homer, E.R., Chen, Y., Schuh, C.A. (2020). Incorporating the Element of Stochasticity in Coarse-Grained Modeling of Materials Mechanics. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling. Springer, Cham. https://doi.org/10.1007/978-3-319-44677-6_98
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