Eighty years of the finite element method: Birth, evolution, and future

WK Liu, S Li, HS Park - Archives of Computational Methods in …, 2022 - Springer
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review

KM Liew, ZX Lei, LW Zhang - Composite Structures, 2015 - Elsevier
Research activities related to functionally graded materials (FGMs) have increased rapidly in
recent years. The superlative properties of carbon nanotubes, ie high strength, high stiffness …

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 …

Smoothed particle hydrodynamics: Methodology development and recent achievement

C Zhang, Y Zhu, D Wu, NA Adams, X Hu - Journal of Hydrodynamics, 2022 - Springer
Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH)
has experienced a tremendous enhancement in methodology and impacted a range of multi …

Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

[책][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 …

[책][B] Meshfree approximation methods with Matlab (With Cd-rom)

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 …

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 …

[책][B] Smoothed finite element methods

GR Liu, N Trung - 2016 - books.google.com
Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

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 …