A One-Dimensional Symmetric Force-Based Blending Method for Atomistic-to-Continuum Coupling
Numerical Analysis
2023-04-28 v1 Numerical Analysis
Abstract
Inspired by the blending method developed by [P. Seleson, S. Beneddine, and S. Prudhome, \emph{A Force-Based Coupling Scheme for Peridynamics and Classical Elasticity}, (2013)] for the nonlocal-to-local coupling, we create a symmetric and consistent blended force-based Atomistic-to-Continuum (a/c) scheme for the atomistic chain in one-dimensional space. The conditions for the well-posedness of the underlying model are established by analyzing an optimal blending size and blending type to ensure the semi-norm stability for the blended force-based operator. We present several numerical experiments to test and confirm the theoretical findings.
Keywords
Cite
@article{arxiv.2304.13939,
title = {A One-Dimensional Symmetric Force-Based Blending Method for Atomistic-to-Continuum Coupling},
author = {Elaine Gorom-Alexander and Xingjie Helen Li},
journal= {arXiv preprint arXiv:2304.13939},
year = {2023}
}