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https://doi.org/10.1007/114288...
Part of book or chapter of book . 2005 . Peer-reviewed
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The Applications of Meshfree Particle Methods at the Nanoscale

Authors: Weixuan Yang; Shaoping Xiao;

The Applications of Meshfree Particle Methods at the Nanoscale

Abstract

Since meshfree particle methods are beneficial in simulating the problems involving extremely large deformations, fractures, etc., these methods become attractive options in multiscale modeling, especially when approaching a large number of atoms. In this paper, we propose preliminary research on applying meshfree particle methods to solve nanoscale problems. A quasicontinuum technique, i.e. the Cauchy-Born rule, is implemented into the meshfree particle methods so continuum approaches for large deformation problems or fracture problems at the nanoscale can be performed. Furthermore, the meshfree particle methods can be coupled with molecular dynamics via the bridging domain coupling technique. The examples show that the meshfree particle methods can benefit either hierarchical or concurrent multiscale modeling at the nanoscale.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze