A review of multiscale computational methods in polymeric materials

A Gooneie, S Schuschnigg, C Holzer - Polymers, 2017 - mdpi.com
Polymeric materials display distinguished characteristics which stem from the interplay of
phenomena at various length and time scales. Further development of polymer systems …

A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods

RE Miller, EB Tadmor - … and simulation in materials science and …, 2009 - iopscience.iop.org
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 …

[HTML][HTML] Structural solution using molecular dynamics: Fundamentals and a case study of epoxy-silica interface

O Büyüköztürk, MJ Buehler, D Lau, C Tuakta - International Journal of …, 2011 - Elsevier
In this paper, the molecular dynamics (MD) simulation technique is described in the context
of structural mechanics applications, providing a fundamental understanding of the atomistic …

Insight of discrete scale and multiscale methods for characterization of composite and nanocomposite materials

T Sheikh, K Behdinan - Archives of Computational Methods in …, 2023 - Springer
Composite materials display different properties resulting from the interplay at various time
and length scales. The presence of materials in form of fillers other than matrix demand a …

A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

M D'Elia, X Li, P Seleson, X Tian, Y Yu - Journal of Peridynamics and …, 2021 - Springer
Abstract Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining
nonlocal and local modeling descriptions of a given system into a unified coupled …

Atomistic-to-continuum coupling

M Luskin, C Ortner - Acta Numerica, 2013 - cambridge.org
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale
schemes that combine the accuracy of atomistic models with the efficiency of continuum …

The multiscale paradigm in electronic device simulation

MA Der Maur, G Penazzi, G Romano… - … on electron devices, 2011 - ieeexplore.ieee.org
In this paper, we present a framework for the simulation of electronic devices based on a
multiscale and multiphysics approach. A formal description is provided that includes both …

A variational formulation of the quasicontinuum method based on energy sampling in clusters

B Eidel, A Stukowski - Journal of the Mechanics and Physics of Solids, 2009 - Elsevier
This contribution presents a novel quasicontinuum (QC) approach aiming at a seamless
transition from the atomistic to the continuum description of crystalline solids at zero …

Analysis of boundary conditions for crystal defect atomistic simulations

V Ehrlacher, C Ortner, AV Shapeev - Archive for Rational Mechanics and …, 2016 - Springer
Numerical simulations of crystal defects are necessarily restricted to finite computational
domains, supplying artificial boundary conditions that emulate the effect of embedding the …

Consistent energy-based atomistic/continuum coupling for two-body potentials in one and two dimensions

AV Shapeev - Multiscale Modeling & Simulation, 2011 - SIAM
This paper addresses the problem of consistent energy-based coupling of atomistic and
continuum models of materials, limited to zero-temperature statics of simple crystals. It has …