Concurrent Coupling of Length Scales in Solid State Systems

By R. Rudd, J. Broughton. 2000

314 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/6e7c63739a3baffb8593cf76998b3d34153fce2c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. D. Qian
2. Wing Kam Liu
3. Qiang Lu
4. Harold S. Park
5. Gregory J. Wagner
6. W. A. Curtin
7. Rodney S. Ruoff
8. Min-Feng Yu

In Biomedical Engineering

1. Wing Kam Liu
2. Timon Rabczuk
3. D. Qian
4. Ted Belytschko
5. Gregory J. Wagner
6. Rodney S. Ruoff
7. Harold S. Park
8. Min-Feng Yu

In Electrical and Electronic Engineering

1. Timon Rabczuk
2. Wing Kam Liu
3. Pierre Kerfriden
4. Stéphane P.A. Bordas
5. Thomas Y. Hou
6. Shaoqiang Tang
7. Sulin Zhang
8. R. Khare

Citations in the corpus

• An introduction to computational nanomechanics and materials (2004, background): “The limitations of atomistic simulations and continuum mechanics, along with practical needs arising from the heterogeneous nature of engineering materials, have motivated research on multi-scale simulations that bridge atomistic simulations and continuum modeling [110–117,125–132].”
• Atomistic/continuum coupling in computational materials science (2003, methodology): “Here, the details of the transition region employed in the quasicontinuum (QC) method of [37,38], the CLS method3 of [39], the FEAt method of [40], the fully non-local QC (QC-FNL) method of [41], and the CADD method of [42] will be discussed and compared.”
• A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods (2009, unknown): “Coupling of CLS [44] Linear None Strong Energy-based”
• A computational library for multiscale modeling of material failure (2013, methodology): “The governing formulation i.e. 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],…”
• A Unified Interpretation of Stress in Molecular Systems (2010, unknown): “Some common atomistic/continuum coupling methods are quasicontinuum [49,45], coupling of lengthscales [43], cluster quasicontinuum [23], bridging domain [54], and coupled atomistics and discrete dislocations [46], to name just a few.”
• A mathematical framework of the bridging scale method (2006, methodology): “Most multiscale methods reduce interfacial reflection by making use of a handshaking region, such as in the finite elements and atomistic method [6], the coupling of length scales method, the coarse-grained molecular dynamics (CGMD) method, the macroscopic, atomistic, ab initio dynamics (MAAD) metho”
• Mechanics of carbon nanotubes (2002, methodology): “A related method, coarse-grained molecular dynam ~CGMD!”