Multiscale modeling aims to solve problems at the engineering (macro) scale while
considering the complexity of the microstructure with minimum cost. Generally, two scales …

In this paper, a coupled peridynamic-finite element method for modeling mechanical
behavior and damage growth in materials is developed. Peridynamics is a nonlocal …

In this paper we present a new formalism that analytically links atomic variables to
continuously distributed local properties and that leads to a concurrent two-level …

We propose a multiscale computational model to couple molecular dynamics and
peridynamics. The multiscale coupling model is based on a previously developed multiscale …

We present simulation/experimental integrated study examining crack propagation in
nanoporous gold. We utilized a simulation technique that combines continuum fracture …

Electrochemical systems include atomistic processes at electrochemical interfaces and
macroscopic transport processes, which can be modeled using kinetic Monte Carlo (kMC) …

Molecular dynamics method is used to investigate the dynamic response of void-included
aluminum under three loading patterns, which are constant strain rate, constant-stress …

In this paper, we present a mathematical framework of the bridging scale method (BSM),
recently proposed by Liu et al. Under certain conditions, it had been designed for accurately …

In this work, we present a seamless, energy-conserving method to couple atomistic and
continuum representations of a temperature field in a material. This technique allows a …

To study the connection between atomistic molecular dynamics and macroscale continuum
mechanics, we partition the Lagrangian of first-principle molecular dynamics according to its …