Applied Mathematics Colloquium with Malena Espanol, Arizona State
Malena Español, Arizona State University
"Modeling the Mechanics of 2D Materials"
Abstract: A graphene sheet is a single-atom thick macromolecule of carbon atoms arranged in a honeycomb hexagonal lattice. When observing a graphene sheet suspended over a substrate, moiré patterns appear driven by lattice and orientation mismatches. In this talk, we start by presenting a formal discrete-to-continuum procedure to derive a continuum variational model for two chains of atoms with slightly incommensurate lattices. The chains represent a cross-section of a three-dimensional system consisting of a graphene sheet suspended over a substrate. We show that the continuum model recovers both qualitatively and quantitatively the behavior observed in the corresponding discrete model. We then extend the discrete-to-continuum procedure to square lattices and then to the honeycomb hexagonal lattices. In all cases, we observe the presence of large commensurate regions separated by localized incommensurate domain walls, in agreement with experiments.
Bio: Malena Español is an assistant professor of applied mathematics in the School of Mathematical and Statistical Sciences. Formerly an associate professor at The University of Akron, her research interests include the development, analysis and application of mathematical models and numerical models for solving problems in science and engineering.
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