Abstract
Concurrent atomistic-to-continuum methods commonly employ either a dynamic or a quasi-static continuum model. Both of these approaches have advantages and drawbacks which render their applicability problem-specific. We present a new hybrid static–dynamic continuum model, which combines the advantages of both approaches while potentially removing the drawbacks. This numerical approach is an innovative superposition of a dynamic and a quasi-static subproblem and, thus, is limited to linear elastic continua. We apply the approach to a prototypical representative of the concurrent atomistic-to-continuum methods and namely, the coupled atomistic and discrete dislocation method. We present three numerical examples to compare the performance of the dynamic, quasi-static and hybrid continuum model.
Original language | English |
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Pages (from-to) | 6405– 6424 |
Number of pages | 20 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 2021 |
Issue number | 122 |
DOIs | |
Publication status | Published - 15 Nov 2021 |
Keywords
- concurrent atomistic-to-continuum methods
- dynamic continuum
- finite element methods
- molecular dynamics
- multiscale modeling
- quasi-static continuum
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
- Numerical Analysis
Fields of Expertise
- Advanced Materials Science