Mathematical Aspects of Material Sciences

Faculty involved

Andrej Cherkaev, Elena Cherkaev, David Dobson, Yekaterina Epshteyn, Ken Golden, Fernando Guevara Vasquez, Graeme W. Milton, Braxton Osting, Andrejs Treibergs

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Examples of unimode materials (from “Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots” by Graeme W. Milton).


Examples of exact structures (courtesy of Andrej Cherkaev and Elena Cherkaev).

Polycrystalline materialGrain Boundary Character Distribution

Two dimensional computational model for a polycrystalline materials and comparison of the empirical distribution - Grain Boundary Character Distribution (GBCD) (characteristics of the texture of the boundary networks in polycrystalline materials) versus Boltzmann distribution (from “A Theory and Challenges for Coarsening in Microstructure” by K.Barmak, E.Eggeling, M.Emelianenko, Y.Epshteyn, D.Kinderlehrer, R.Sharp and S. Ta’asan).

Webmasters: Yekaterina Epshteyn and Fernando Guevara Vasquez.