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Activity Number: 561 - Small Data, Big Impact
Type: Topic Contributed
Date/Time: Wednesday, July 31, 2019 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Defense and National Security
Abstract #304669 Presentation
Title: Spatial Statistics for the Computational Simulation of Complex Material Microstructures
Author(s): Lyndsay Shand* and Dan Bolintineanu
Companies: Sandia National Laboratories and Sandia National Laboratories
Keywords: spatial analysis; nonstationary; material science

The microstructures of heterogeneous materials can strongly influence a material’s mechanical and physical properties. The nature of this influence can be primarily determined by the spatial distribution of defects within the structure. To provide model validation and explore a breadth of microstructural features, we pursue synthetic reconstructions of materials that match the spatial statistical features of experimental microstructures and account for variability in such structures. The spatial distribution of features in heterogeneous materials such as porous media or composite materials is assumed stationary in most literature, an often inappropriate assumption, and although high resolution images are available, they are often too small to be representative of the entire material. We implement dimension expansion (Bornn et al, 2011; Shand and Li, 2017), a modern nonstationary spatial modeling approach, to rigorously characterize the spatial distribution of microstructure defects and enable straightforward reconstruction. We successfully use this modeling approach to reconstruct and simulate new synthetic microstructures across multiple densities of a pressed pellet material.

Authors who are presenting talks have a * after their name.

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