Smoothed particle hydrodynamics (SPH): an overview and recent developments

MB Liu, GR Liu - Archives of computational methods in engineering, 2010 - Springer
Smoothed particle hydrodynamics (SPH) is a meshfree particle method based on
Lagrangian formulation, and has been widely applied to different areas in engineering and …

Meshless methods: a review and computer implementation aspects

VP Nguyen, T Rabczuk, S Bordas, M Duflot - Mathematics and computers …, 2008 - Elsevier
The aim of this manuscript is to give a practical overview of meshless methods (for solid
mechanics) based on global weak forms through a simple and well-structured MATLAB …

Cracking particles: a simplified meshfree method for arbitrary evolving cracks

T Rabczuk, T Belytschko - International journal for numerical …, 2004 - Wiley Online Library
A new approach for modelling discrete cracks in meshfree methods is described. In this
method, the crack can be arbitrarily oriented, but its growth is represented discretely by …

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 …

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 …

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 …

[BOOK][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 …

A review of meshless methods for laminated and functionally graded plates and shells

KM Liew, X Zhao, AJM Ferreira - Composite Structures, 2011 - Elsevier
This review focuses mainly on the developments of element-free or meshless methods and
their applications in the analysis of composite structures. This review is organized as follows …

Non‐linear version of stabilized conforming nodal integration for Galerkin mesh‐free methods

JS Chen, S Yoon, CT Wu - International Journal for Numerical …, 2002 - Wiley Online Library
A stabilized conforming (SC) nodal integration, which meets the integration constraint in the
Galerkin mesh‐free approximation, is generalized for non‐linear problems. Using a …

Meshfree methods: a comprehensive review of applications

S Garg, M Pant - International Journal of Computational Methods, 2018 - World Scientific
The meshfree methods in computational mechanics have been actively proposed and
increasingly developed in order to overcome some drawbacks in the conventional numerical …