Title
A Study on the Quasi-continuum Approximations of a One-Dimensional Fracture Model.
Abstract
We study three quasi-continuum approximations of a lattice model for crack propagation. The influence of the approximation on the bifurcation patterns is investigated. The estimate of the modeling error is applicable to near and beyond bifurcation points, which enables us to evaluate the approximation over a finite range of loading and multiple mechanical equilibria.
Year
DOI
Venue
2014
10.1137/130939547
MULTISCALE MODELING & SIMULATION
Keywords
Field
DocType
quasi-continuum methods,bifurcation analysis,ghost force,lattice fracture model
Statistical physics,Mathematical optimization,Bifurcation analysis,Mathematical analysis,Approximations of π,Continuum (design consultancy),Fracture mechanics,Lattice model (finance),Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
12
3
1540-3459
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Xiantao Li1387.64
Pingbing Ming27212.02