Mechanics of carbon nanotubes

D Qian, GJ Wagner, and, WK Liu… - Appl. Mech …, 2002 - asmedigitalcollection.asme.org
Soon after the discovery of carbon nanotubes, it was realized that the theoretically predicted
mechanical properties of these interesting structures–including high strength, high stiffness …

Atomistic/continuum coupling in computational materials science

WA Curtin, RE Miller - … and simulation in materials science and …, 2003 - iopscience.iop.org
Important advances in multi-scale computer simulation techniques for computational
materials science have been made in the last decade as scientists and engineers strive to …

Reformulation of elasticity theory for discontinuities and long-range forces

SA Silling - Journal of the Mechanics and Physics of Solids, 2000 - Elsevier
Some materials may naturally form discontinuities such as cracks as a result of deformation.
As an aid to the modeling of such materials, a new framework for the basic equations of …

Coupling of atomistic and continuum simulations using a bridging scale decomposition

GJ Wagner, WK Liu - Journal of Computational Physics, 2003 - Elsevier
We present a new method for coupling molecular dynamics (MD) and continuum mechanics
simulations that is based on the projection of the MD solution onto the coarse scale shape …

Key computational modeling issues in integrated computational materials engineering

JH Panchal, SR Kalidindi, DL McDowell - Computer-Aided Design, 2013 - Elsevier
Designing materials for targeted performance requirements as required in Integrated
Computational Materials Engineering (ICME) demands a combined strategy of bottom–up …

[BOOK][B] Handbook of nanoscience, engineering, and technology

WA Goddard III, D Brenner, SE Lyshevski, GJ Iafrate - 2002 - taylorfrancis.com
Nanotechnology, science, and engineering spearhead the 21st century revolution that is
leading to fundamental breakthroughs in the way materials, devices, and systems are …

The heterognous multiscale methods

E Weinan, B Engquist - Communications in Mathematical …, 2003 - projecteuclid.org
The heterogenous multiscale method (HMM) is presented as a general methodology for the
efficient numerical computation of problems with multiscales and multiphysics on multigrids …

Heterogeneous multiscale methods: a review

E Weinan, B Engquist, X Li, W Ren… - Communications in …, 2007 - nyuscholars.nyu.edu
This paper gives a systematic introduction to HMM, the heterogeneous multiscale methods,
including the fundamental design principles behind the HMM philosophy and the main …

The quasicontinuum method: Overview, applications and current directions

RE Miller, EB Tadmor - Journal of Computer-Aided Materials Design, 2002 - Springer
Abstract The Quasicontinuum (QC) Method, originally conceived and developed by Tadmor,
Ortiz and Phillips [1] in 1996, has since seen a great deal of development and application by …

A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation

HD Espinosa, PD Zavattieri - Mechanics of materials, 2003 - Elsevier
A model is presented to analyze material microstructures subjected to quasi-static and
dynamic loading. A representative volume element (RVE) composed of a set of grains is …