An Analysis of the Quasicontinuum Method
J. Knap, M. Ortiz
Abstract
The aim of this paper is to present a streamlined and fully three-dimensional version of the quasicontinuum (QC) theory of Tadmor et al. and to analyze its accuracy and convergence characteristics. Specifically, we assess the effect of the summation rules on accuracy; we determine the rate of convergence of the method in the presence of strong singularities, such as point loads; and we assess the effect of the refinement tolerance, which controls the rate at which new nodes are inserted in the model, on the development of dislocation microstructures.
Create a lesson
Related papers
A Gaussian process coarse-grained potential for Na-montmorillonite
Yalda Pedram, Yaoting Zhang, Laurent Brochard et al.
First-principles theory of phonon renormalization from nonlinear electron-phonon interactions
Florian Kluibenschedl, Matthew Houtput, Jacques Tempere et al.
Spin-Lattice Dynamics and Interactions in Magnonic Spinels
Hari Paudyal, Yuri Suzuki, Michael E. Flatté et al.
Magnon-Phonon Dynamics in Multidimensional Antiferromagnetic Oxides
Yogendra Limbu, Michael E. Flatté, Durga Paudyal
Strain-Induced Metal-to-Insulator Transition in Antiferromagnetic SrCrO3 Thin Films
S. Jöhr, A. Carta, J. Moreno et al.
Tuning the Coercive Field in Ferroelectric Hf0.5Zr0.5O2-Al2O3 Heterostructures via Interfacial Charge Dynamics
Marshall B. Frye, Chanyoung Kim, Jeong-Woo Sun et al.