[PDF][PDF] Differentiable mesoscopic fields in molecular dynamics simulation: construction, dynamics, and coupling of length scales

A Streit, RE Zillich, P Baumann… - Multiscale Materials …, 2006 - researchgate.net
Based on previous work of one of the authors, we define “coarse grained” local observables
for temperature and stress, which are thermodynamically consistent and continuously …

Concurrent Multiscale Simulation at Finite Temperature: Coarse-Grained Molecular Dynamics

RE Rudd - Handbook of Materials Modeling: Methods, 2004 - Springer
With the advent of nanotechnology, predictive simulations of nanoscale systems have
become in great demand. In some cases, nanoscale systems can be simulated directly at …

Reconsideration of continuum thermomechanical quantities in atomic scale simulations

EB Webb III, JA Zimmerman… - … and Mechanics of Solids, 2008 - journals.sagepub.com
As motivation builds to consider mechanics of nanometer scale objects, it is increasingly
advantageous to implement models with finer resolution than standard continuum …

Couple microscale periodic patches to simulate macroscale emergent dynamics

H Alotaibi, B Cox, AJ Roberts - The ANZIAM Journal, 2018 - cambridge.org
Macroscale “continuum” level predictions are made by a new way to construct
computationally efficient “wrappers” around fine-scale, microscopic, detailed descriptions of …

Coarse-grained molecular dynamics and the atomic limit of finite elements

RE Rudd, JQ Broughton - Physical review B, 1998 - APS
We develop a technique for simulation of the mechanics of micron-scale solid systems:
coarse-grained molecular dynamics (CGMD). It captures the important atomistic effects …

Coarse-grained molecular dynamics: Nonlinear finite elements and finite temperature

RE Rudd, JQ Broughton - Physical Review B—Condensed Matter and …, 2005 - APS
Coarse-grained molecular dynamics (CGMD) is a technique developed as a concurrent
multiscale model that couples conventional molecular dynamics (MD) to a more coarse …

Multiscale modeling from atoms to genuine continuum

JD Lee, J Li, Z Zhang, KP Robert - Numerical Methods in …, 2017 - api.taylorfrancis.com
Basically, there exist two fundamental physical models that provide foundations for almost
all material behavioral simulations: microscopic discrete atomistic models and macroscopic …

Dynamical coupling atomistic and continuum simulations

G Ren, D Zhang, XG Gong - Communications in Computational …, 2011 - cambridge.org
We propose a new multiscale method that couples molecular dynamics simulations (MD) at
the atomic scale and finite element simulations (FE) at the continuum regime. By …

The bridging scale for two-dimensional atomistic/continuum coupling

HS Park, EG Karpov, WK Liu, PA Klein - Philosophical magazine, 2005 - Taylor & Francis
In this paper, we present all necessary generalisations to extend the bridging scale, a finite-
temperature multiple scale method which couples molecular dynamics (MD) and finite …

Rapid thermal equilibration in coarse-grained molecular dynamics

SPA Gill, Z Jia, B Leimkuhler, ACF Cocks - Physical Review B—Condensed …, 2006 - APS
Coarse-grained representations of matter are required for the investigation of material
phenomena that occur simultaneously at different length and time scales. Multiple scales …