Atomistic-based multiscale and molecular dynamics modeling are powerful tools to simulate
the localized strain problems, offering tremendous opportunities to bridge the knowledge …

In recent years, numerous partitioned-domain methods have been developed to describe
dislocation behavior at length scales that are usually inaccessible to most classical atomistic …

The quasicontinuum (QC) method is a numerical strategy to reduce the computational cost
of direct lattice computations‐in this study we achieve a speed up of a factor of 40. It has …

Bridging domain method (BDM) is a multiscale method which couples molecular dynamics
(MD) with finite element simulations. In this paper, using numerical study we show that time …

A concurrent multiscale method coupling molecular dynamics (MD) and continuum‐based
material point method (MPM) is proposed. Seamless coupling is realized by utilizing …

We present a general mathematical framework for the newly proposed energy-based
concurrent atomistic/continuum method Multiresolution Molecular Mechanics (MMM)(Yang …

Smoothed molecular dynamics (SMD) method is an efficient mesoscopic method by
introducing one set of background mesh and mapping procedure into the molecular …

Smoothed molecular dynamics (SMD) method is a recently proposed efficient molecular
simulation method by introducing one set of background mesh and mapping process into …

Atomistic/continuum coupling methods combine accurate atomistic methods and efficient
continuum methods to simulate the behavior of highly ordered crystalline systems. Coupled …

We present a convergence and error structure analysis of the newly proposed energy-based
concurrent atomistic/continuum method multiresolution molecular statics (MMS)(Yang et al …