Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

Polymeric materials display distinguished characteristics which stem from the interplay of
phenomena at various length and time scales. Further development of polymer systems …

We present an open-source software framework called PERMIX for multiscale modeling and
simulation of fracture in solids. The framework is an object oriented open-source effort …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

This paper gives a systematic introduction to HMM, the heterogeneous multiscale methods,
including the fundamental design principles behind the HMM philosophy and the main …

A partitioned-domain multiscale method is a computational framework in which certain key
regions are modeled atomistically while most of the domain is treated with an approximate …

Analytical formulations are presented to predict the elastic moduli of graphene sheets and
carbon nanotubes using a linkage between lattice molecular structure and equivalent …

Many arenas of research are rapidly advancing due to a combined effort between
engineering and science. In some cases, fields of research that were stagnating under the …

We propose a coarse-graining technique to reduce a given atomistic model into an
equivalent coarse grained continuum model. The developed technique is tailored for …

This paper proposes an adaptive atomistic-continuum numerical method for quasi-static
crack growth. The phantom node method is used to model the crack in the continuum region …