The Quasicontinuum Method: Overview, applications and current directions

By Ronald E. Miller, Ellad B. Tadmor. 2002

505 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Geophysics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/18c54fb920d0985141f064dd9868febec19ce789

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Atomistic/continuum coupling in computational materials science (2003, methodology): “A recent review of the QC method can be found in [59].”
Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm (2005, unknown): “…S kl is employed, with S kl defined as averages over reorientational motion of the second-order Legendre polynomials: S kl ¼ 1 2 < 3 cos h Z;k cos h Z;l À d kl > ð2Þ where h Z,k is the angle between the molecule-fixed k-axis and the space-fixed Z-axis which lies along the liquid-crystal director.”
Multiscale enrichment based on partition of unity (2005, methodology): “Once the influence functions are computed, the enriched quasi-continuum interpolation is given by Equation (3), and the formulation proceeds along the lines described in References [47, 48 ].”
Structural solution using molecular dynamics: Fundamentals and a case study of epoxy-silica interface (2011, methodology): “…one of the earliest methods to deal with this problem, initially applied to crystalline materials such as metals (Tadmor et al., 1996; Shenoy et al., 1998; Shenoy et al., 1999; Knap and Ortiz, 2001; Miller and Tadmor, 2002; Curtin and Miller, 2003; Shimokawa et al., 2004; Miller and Tadmor, 2007).”
Atomistic based continuum investigation of plastic deformation in nanocrystalline copper (2006, methodology): “The quasicontinuum method (Shenoy et al., 1999; Tadmor et al., 1996; Miller and Tadmor, 2002) was used to simulate 11 differently structured grain boundaries in bicrystals.”
An overview of spatial microscopic and accelerated kinetic Monte Carlo methods (2007, background): “Further increase in computational power, in conjunction with the need to predict transport, materials properties and structure under realistic conditions, led to the realization that most systems contain multiple length and time scales [36–42].”
On the application of the Arlequin method to the coupling of particle and continuum models (2008, methodology): “Several relate d methodologies have been previously proposed (see for example [14; 9; 17]).”
A multiscale quasicontinuum method for dissipative lattice models and discrete networks (2014, methodology): “An overview is given by Miller and Tadmor (2002).”