Meshfree and particle methods and their applications

S Li, WK Liu - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

[图书][B] Meshfree particle methods

S Li, WK Liu - 2007 - books.google.com
Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

An introduction to computational nanomechanics and materials

WK Liu, EG Karpov, S Zhang, HS Park - Computer methods in applied …, 2004 - Elsevier
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 …

[图书][B] Nano mechanics and materials: theory, multiscale methods and applications

WK Liu, EG Karpov, HS Park - 2006 - books.google.com
Nanotechnology is a progressive research and development topic with large amounts of
venture capital and government funding being invested worldwide. Nano mechanics, in …

The bridging scale for two-dimensional atomistic/continuum coupling

HS Park, EG Karpov, WK Liu, PA Klein - Philosophical magazine, 2005 - Taylor & Francis
In this paper, we present all necessary generalisations to extend the bridging scale, a finite-
temperature multiple scale method which couples molecular dynamics (MD) and finite …

Bridging multi-scale method for localization problems

H Kadowaki, WK Liu - Computer methods in applied mechanics and …, 2004 - Elsevier
A bridging multi-scale method is proposed for the analysis of a class of localization problems
in which the micropolar-continuum model is used to describe the localized deformation and …

Non‐reflecting boundary conditions for atomistic, continuum and coupled atomistic/continuum simulations

HS Park, EG Karpov, WK Liu - International Journal for …, 2005 - Wiley Online Library
We present a method to numerically calculate a non‐reflecting boundary condition which is
applicable to atomistic, continuum and coupled multiscale atomistic/continuum simulations …

[HTML][HTML] Multiscale boundary conditions in crystalline solids: theory and application to nanoindentation

EG Karpov, H Yu, HS Park, WK Liu, QJ Wang… - International Journal of …, 2006 - Elsevier
This paper presents a systematic approach to treating the interfaces between the localized
(fine grain) and peripheral (coarse grain) domains in atomic scale simulations of crystalline …

[PDF][PDF] A multiscale approach for the micropolar continuum model

H Kadowaki, WK Liu - Computer Modeling in Engineering and …, 2005 - cdn.techscience.cn
A method to derive governing equations and elastic-plastic constitutive relations for the
micropolar continuum model is proposed. Averaging procedures are operated over a …

On effective moduli of defective beam lattices via the lattice green's functions

Y Gong, J Liu, N Liang - International Journal of Damage …, 2024 - journals.sagepub.com
A method is proposed to analyze the effective moduli of periodically defective beam lattices
by using the Lattice Green's Functions (LGF). The LGF of beam lattices is built to calculate …