Incorporating the Element of Stochasticity in Coarse-Grained Modeling of Materials Mechanics
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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.
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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