A multiscale projection method for the analysis of carbon nanotubes

By D. Qian, Gregory J. Wagner, Wing Kam Liu. 2004

204 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/dca7b920bd68152bf82c8cc46a8413c05262ca54

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

An adaptive multiscale method for quasi-static crack growth (2014, methodology): “Because of the symmetry of the crystal structure, a cluster of atoms can be taken as a representative model of the whole lattice structure [16].”
Heterogeneous Multiscale Methods: A Review (2007, background): “With few exceptions, most existing approaches to type A problems are based on the idea of domain decomposition [5, 6, 22, 23, 72, 83, 84, 90, 103, 122, 124, 129, 138].”
A computational library for multiscale modeling of material failure (2013, methodology): “…energy based {for example Quasicontinuum (QC) [115,129], coupling of length scales(CLS)[111],bridgingdomain(BD)[138],bridging scale method (BSM) [105,135], composite grid atomistic continuum method (CACM) [33]} or force based {ﬁnite-element/atomistics (FEAt) [63], Coupled atomistics and…”
A mathematical framework of the bridging scale method (2006, methodology): “proposed a virtual atom cluster (VAC) method under the BSM framework [25].”
Prediction of Young's modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach (2010, background): “The atomisticmodeling is highly computationally intensive and subsequently its application is limited to the systems with low amount of atoms [2–5].”
Challenges in Multiscale Modeling of Polymer Dynamics (2013, background): “There is a tremendous amount of concurrent multiscale modeling methods developed in the recent ten years with rigorous mathematical foundations, but mostly for metals [344,346–350] and carbon nanomaterials [345,351–354].”
Bridging Scale Methods for Nanomechanics and Materials (2006, unknown): “[19].”