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 …

[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 …

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired solutions

GR Liu - Frontiers of structural and civil engineering, 2019 - Springer
The smoothed finite element method (S-FEM) was originated by GR Liu by combining some
meshfree techniques with the well-established standard finite element method (FEM). It has …

[图书][B] Smoothed point interpolation methods: G space theory and weakened weak forms

GR Liu, G Zhang - 2013 - books.google.com
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a
next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) …

Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems

ZQ Zhang, GR Liu - Computational Mechanics, 2010 - Springer
A stabilization procedure for curing temporal instability of node-based smoothed finite
element method (NS-FEM) is proposed for dynamic problems using linear triangular …

Stable node-based smoothed radial point interpolation method for the dynamic analysis of the hygro-thermo-magneto-electro-elastic coupling problem

B Nie, G Meng, S Ren, J Wang, Z Ren, L Zhou… - … Analysis with Boundary …, 2022 - Elsevier
In the current work, the stable node-based smoothed radial point interpolation method (SNS-
RPIM) was used to investigate the dynamic responses of magneto-electro-elastic (MEE) …

Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics

GR Liu, W Zeng, H Nguyen-Xuan - Finite Elements in Analysis and Design, 2013 - Elsevier
The smoothed finite element method (S-FEM) was recently proposed to inject softening
effects into and improve the accuracy of the standard FEM. In the S-FEM, the system stiffness …

Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio‐tissues

C Jiang, ZQ Zhang, X Han… - International Journal for …, 2014 - Wiley Online Library
Two dynamic selective smoothed FEM (selective S‐FEM) are proposed for analysis of
extremely large deformation of anisotropic incompressible bio‐tissues using the simplest …

[HTML][HTML] Strain smoothing for compressible and nearly-incompressible finite elasticity

CK Lee, LA Mihai, JS Hale, P Kerfriden… - Computers & …, 2017 - Elsevier
We present a robust and efficient form of the smoothed finite element method (S-FEM) to
simulate hyperelastic bodies with compressible and nearly-incompressible neo-Hookean …

A selective smoothed finite element method for 3D explicit dynamic analysis of the human annulus fibrosus with modified composite-based constitutive model

X Yan, D Wan, D Hu, X Han, GR Liu - Engineering Analysis with Boundary …, 2022 - Elsevier
The human annulus fibrosus (HAF) is the major component in response to external forces for
the intervertebral disk (IVD), which maintains the stability and flexibility of human spine. It …