Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

A time-discontinuous state-based peridynamic method (SBPD-TD) is developed in this
paper to model the transient problems of wave and crack propagation in solids. In this …

Spurious numerical oscillations frequently arise when solving hyperbolic differential
equations under impact loading using numerical methods. These oscillations, often referred …

A concurrent multiscale method for coupling discrete (atomistic) and continuum models at
finite temperatures is presented. Motion of atoms is governed by an inter-atomic potential …

A time‐discontinuous peridynamic method (TDPD) for modeling transient problems of wave
and crack propagation in solids is presented in this article. The main features of the TDPD …

The dual domain material point method (DDMP) combined with molecular dynamics (MD) is
used to simulate a material undergoing a large deformation with a high strain rate. In the …

One of the most challenging problems in dynamic concurrent multiscale simulations is the
reflectionless transfer of physical quantities between the different scales. In particular, when …

We present a new framework for coarse‐graining molecular dynamics models for crystalline
solids. The reduction method is based on a Galerkin projection to a subspace, whose …

In this work we combine the dual domain material point method with molecular dynamics in
an attempt to create a multiscale numerical method to simulate materials undergoing large …

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 …