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.
Original language | English (US) |
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Pages (from-to) | 1379-1400 |
Number of pages | 22 |
Journal | Multiscale Modeling and Simulation |
Volume | 12 |
Issue number | 3 |
DOIs | |
State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- General Chemistry
- Modeling and Simulation
- Ecological Modeling
- General Physics and Astronomy
- Computer Science Applications