Atomistic/continuum coupling in computational materials science

By W. A. Curtin, Ronald E. Miller. 2003

579 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/370785c35f9c58f6adb845754ee75dc0c5a53167

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In Biomedical Engineering

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

A two-scale model of granular materials (2012, methodology): “the overview given by Curtin and Miller [13].”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “The general framework supplied by variational crystal plasticity formulations provides an attractive vehicle for developing a comprehensive theory of plasticity that incorporates existing knowledge of the physics of deformation processes [8–10] into the computational tools of continuum mechanics [11”
A bridging domain and strain computation method for coupled atomistic–continuum modelling of solids (2007, unknown): “Equation (8) can be written by the following expression, which is generally adopted in the so-called ‘handshake’ method [2, 9], E = Etotal + EMM/CM (9) where EMM/CM is a coupling energy that corresponds to the second term in Equation (8).”
An introduction to computational nanomechanics and materials (2004, background): “Most of the concurrent approaches, excluding the bridging scale method, involve an artificial handshake or pad region [120], where”
A bridging domain method for coupling continua with molecular dynamics (2004, unknown): “A review of these methods can be found in [13].”
Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force (2007, methodology): “Details of the transition region are discussed for the quasicontinuum method [28][20], the Coupling of Length Scales (CLS) method [4][1], the Finite Element Atomistics (FEAt) method [18] and Coupled Atomistics and Discrete Dislocation (CADD) method [27] under a unified generic transition model as sh”