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 …

[图书][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 …

A smoothed finite element method for mechanics problems

GR Liu, KY Dai, TT Nguyen - Computational Mechanics, 2007 - Springer
In the finite element method (FEM), a necessary condition for a four-node isoparametric
element is that no interior angle is greater than 180° and the positivity of Jacobian …

An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids

GR Liu, T Nguyen-Thoi, KY Lam - Journal of Sound and Vibration, 2009 - Elsevier
This paper presents an edge-based smoothed finite element method (ES-FEM) to
significantly improve the accuracy of the finite element method (FEM) without much …

A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems

GR Liu, T Nguyen-Thoi, HB Nguyen-Xuan… - Computers & structures, 2009 - Elsevier
This paper presents a node-based smoothed finite element method (NS-FEM) for upper
bound solutions to solid mechanics problems using a mesh of polygonal elements. The …

Conforming polygonal finite elements

N Sukumar, A Tabarraei - International Journal for Numerical …, 2004 - Wiley Online Library
In this paper, conforming finite elements on polygon meshes are developed. Polygonal finite
elements provide greater flexibility in mesh generation and are better‐suited for applications …

Theoretical aspects of the smoothed finite element method (SFEM)

GR Liu, TT Nguyen, KY Dai… - International journal for …, 2007 - Wiley Online Library
This paper examines the theoretical bases for the smoothed finite element method (SFEM),
which was formulated by incorporating cell‐wise strain smoothing operation into standard …

CBS-Based Partitioned Semi-implicit Coupling Algorithms for Fluid–Structure Interaction: A Decade Review

T He - Archives of Computational Methods in Engineering, 2024 - Springer
Being a general fractional-step solver, the characteristic-based split (CBS) scheme not only
works out a broad range of fluid flow problems but also underpins an emerging partitioned …

An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics

M Hillman, JS Chen - International Journal for Numerical …, 2016 - Wiley Online Library
Convergent and stable domain integration that is also computationally efficient remains a
challenge for Galerkin meshfree methods. High order quadrature can achieve stability and …

A meshfree model of hard-magnetic soft materials

J Liu, Y Yang, M Li, F Xu - International Journal of Mechanical Sciences, 2023 - Elsevier
Hard-magnetic soft materials comprising a soft matrix embedded with hard-magnetic
particles can exhibit large deformations under external magnetic fields, which have attracted …