Abstract | ||
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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 Li | 1 | 38 | 7.64 |
Pingbing Ming | 2 | 72 | 12.02 |