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Title: A One-Dimensional Symmetric-Force-Based Blending Method for Atomistic-to-Continuum Coupling
Inspired by the blending method developed by [P. Seleson, S. Beneddine, and S. Prudhome, 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 H1{\$$}{\$$}H^1{\$$}{\$$}semi-norm stability for the blended force-based operator. We present several numerical experiments to test and confirm the theoretical findings.  more » « less
Award ID(s):
1847770
PAR ID:
10510147
Author(s) / Creator(s):
;
Editor(s):
Mengesha, Tadele; Salgado, Abner J
Publisher / Repository:
Springer International Publishing
Date Published:
Journal Name:
A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models: Proceedings of the 50th John H. Barrett Memorial Lectures
ISSN:
978-3-031-34089-5
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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