A bridging domain method for coupling continua with molecular dynamics

By Shaoping Xiao, Ted Belytschko. 2004

826 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/381475a28a074a581fba4bb33110dd7d8c5d2cfa

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In Computational Mechanics

In Computational Theory and Mathematics

In Electrical and Electronic Engineering

Citations in the corpus

A review of extended/generalized finite element methods for material modeling (2009, methodology): “The introduction of XFEM into the multiscale framework results in a substantial reduction in the number of atomistic degrees of freedom compared with a standard bridging domain method framework [16, 116].”
Coarse‐graining of multiscale crack propagation (2010, background): “For example, in Abraham et al. [19] and Khare et al. [20], the atomistic and quantum domains are embedded in a continuum domain, and in Xiao and Belytschko [21] and Wagner and Liu [22], atomistic domains are embedded in continuum domains.”
A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids (2007, methodology): “Among them are the coupled length scale method [1, 2], the bridging method [3, 4], the bridging domain method [5, 6], the method coupling atomistic and discrete dislocation plasticity [7], and the homogenization [8].”
A bridging scale method for granular materials with discrete particle assembly – Cosserat continuum modeling (2011, methodology): “To allow the traveling waves with high frequencies generated in the DEM region subjected to dynamic loading capable of passing through the interfaces between the fine and coarse scale regions without spurious reflected waves and spurious numerical oscillations occurring at the interfaces, a nonrefle”
Multiscale aggregating discontinuities: A method for circumventing loss of material stability (2008, methodology): “For example, the modeling of the response of composite material structures is streamlined ∗Correspondence to: Ted Belytschko, Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111, U.S.A. †E-mail: tedbelytschko@northwestern.edu ‡Walter P. Murphy and McCormick P”
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 multiscale quasicontinuum method for dissipative lattice models and discrete networks (2014, methodology): “Moreover, the QC method entirely relies on the microstructural lattice topology, unlike approaches as those of Xiao and Belytschko (2004) and Fish et al. (2007), that need a continuum description in addition to the discrete model.”