Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling

SJ Lind, BD Rogers… - Proceedings of the …, 2020 - royalsocietypublishing.org
This paper presents a review of the progress of smoothed particle hydrodynamics (SPH)
towards high-order converged simulations. As a mesh-free Lagrangian method suitable for …

A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering

L **g - International Journal of Rock Mechanics and Mining …, 2003 - Elsevier
The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

[BUCH][B] Peridynamic differential operator for numerical analysis

E Madenci, A Barut, M Dorduncu - 2019 - Springer
Based on the peridynamic (PD) theory introduced by Dr. Stewart A. Silling from Sandia
National Laboratories in 2000, this book presents the nonlocal PD differential operator and …

[BUCH][B] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

[BUCH][B] Meshfree Approximation Methods with MATLAB

GE Fasshauer - 2007 - books.google.com
Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

A stabilized conforming nodal integration for Galerkin mesh‐free methods

JS Chen, CT Wu, S Yoon, Y You - International journal for …, 2001 - Wiley Online Library
Abstract Domain integration by Gauss quadrature in the Galerkin mesh‐free methods adds
considerable complexity to solution procedures. Direct nodal integration, on the other hand …

Reproducing kernel particle methods for large deformation analysis of non-linear structures

JS Chen, C Pan, CT Wu, WK Liu - Computer methods in applied mechanics …, 1996 - Elsevier
Large deformation analysis of non-linear elastic and inelastic structures based on
Reproducing Kernel Particle Methods (RKPM) is presented. The method requires no explicit …

Variational and momentum preservation aspects of smooth particle hydrodynamic formulations

J Bonet, TSL Lok - Computer Methods in applied mechanics and …, 1999 - Elsevier
This paper presents a new variational framework for various existing Smooth Particle
Hydrodynamic (SPH) techniques and presents a new corrected SPH formulation. The linear …

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 …