| Derek Olson, Department of Mathematics, University of Minnesota |
| Title: Blended-force based quasicontinuum method for multilattices |
| Abstract: Atomistic-to-continuum (AtC) methods are a vast class of multiphysics models which couple atomistic models of materials, such as molecular statics or molecular dynamics, with continuum mechanics models, such as nonlinear elasticity. The last thirty years has seen a surge of interest in the development of these methods, especially for crystalline materials, and even a thorough mathematical understanding of these methods has begun to emerge in the last five years. However, the applicability of these methods to crystalline materials has often been restricted only to materials comprised of a Bravais lattice. In this talk, we will present the blended force-based quasicontinuum method for modeling defects in multilattices, which allows for technologically important materials such as alloys and graphene to be modeled. Error estimates in terms of the computational cost of implementing the method will also be discussed. This is joint work with Xingjie Li, Christoph Ortner, and Mitchell Luskin. |
Friday February 19th, at 10:00AM Room: Fret 315
Categories: Spring 2022