Geometric and topological properties of the canonical grain-growth microstructure

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jeremy K MasonDavid J Srolovitz

Abstract

Many physical systems can be modeled as large sets of domains "glued" together along boundaries-biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet along geopolitical boundaries, and metallic crystals meet along grain interfaces. Each class of microstructures results from a complex interplay of initial conditions and particular evolutionary dynamics. The statistical steady-state microstructure resulting from isotropic grain growth of a polycrystalline material is canonical in that it is the simplest example of a cellular microstructure resulting from a gradient flow of an energy that is directly proportional to the total length or area of all cell boundaries. As many properties of polycrystalline materials depend on their underlying microstructure, a more complete understanding of the grain growth steady state can provide insight into the physics of a broad range of everyday materials. In this paper we report geometric and topological features of these canonical two- and three-dimensional steady-state microstructures obtained through extensive simulations of isotropic grain growth.

References

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Citations

Nov 25, 2017·Nature Communications·Spencer L ThomasDavid J Srolovitz
Oct 12, 2018·Proceedings of the National Academy of Sciences of the United States of America·Tristan A SharpAndrea J Liu
Sep 28, 2017·Physical Review. E·F H LutzR D MacPherson
Jan 14, 2017·Physical Review. E·Mahdi Sadjadi, M F Thorpe
Jul 18, 2020·Physical Review Letters·Emanuel A LazarDavid J Srolovitz
Apr 17, 2019·Proceedings of the National Academy of Sciences of the United States of America·Spencer L ThomasDavid J Srolovitz

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