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 …

An overview on meshfree methods: for computational solid mechanics

GR Liu - International Journal of Computational Methods, 2016 - World Scientific
This review paper presents a methodological study on possible and existing meshfree
methods for solving the partial differential equations (PDEs) governing solid mechanics …

An adaptive edge-based smoothed finite element method (ES-FEM) for phase-field modeling of fractures at large deformations

F Tian, X Tang, T Xu, L Li - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
This work presents the Griffith-type phase-field formation at large deformation in the
framework of the adaptive edge-based smoothed finite element method (ES-FEM) for the …

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 …

A valid inhomogeneous cell-based smoothed finite element model for the transient characteristics of functionally graded magneto-electro-elastic structures

L Zhou, S Ren, C Liu, Z Ma - Composite Structures, 2019 - Elsevier
For the sake of surmounting defect of over-stiffness of finite element model (FEM) and
accurately solving the transient response problems of structures comprise functionally …

A cell‐based smoothed finite element method with semi‐implicit CBS procedures for incompressible laminar viscous flows

C Jiang, ZQ Zhang, X Han, G Liu… - International Journal for …, 2018 - Wiley Online Library
In this paper, the cell‐based smoothed finite element method (CS‐FEM) with the semi‐
implicit characteristic‐based split (CBS) scheme (CBS/CS‐FEM) is proposed for …

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

SW Wu, C Jiang, C Jiang, GR Liu - International Journal for …, 2020 - Wiley Online Library
Brain tissues are known for exhibiting complex nonlinear and time‐dependent properties,
which require visco‐hyperelastic constitutive models for proper simulation. In this paper, a …

A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids

C Jiang, JY Yao, ZQ Zhang, GJ Gao, GR Liu - Computer Methods in …, 2018 - Elsevier
A sharp-interface algorithm developed for immersed smoothed finite element method (Sharp-
ISFEM) is proposed for fluid–structure interaction (FSI) problems. In Sharp-ISFEM, a line …

A cell-based smoothed finite element method for multi-body contact analysis within the bi-potential formulation

Y Li, Q Chen, Z Feng - Engineering Analysis with Boundary Elements, 2023 - Elsevier
This paper presents a cell-based smoothed finite element method (CS-FEM) for solving
contact problems within the bi-potential formulation. The frictional contact and large …

[HTML][HTML] An effective fracture analysis method based on the virtual crack closure-integral technique implemented in CS-FEM

W Zeng, GR Liu, C Jiang, XW Dong, HD Chen… - Applied Mathematical …, 2016 - Elsevier
In this work, the virtual crack closure integral technique (VCCT) is formulated in the
framework of cell-based smoothed finite element (CS-FEM) for evaluating stress intensity …