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 …

A finite strain model for multi-material, multi-component biomechanical analysis with total Lagrangian smoothed finite element method

SW Wu, DT Wan, C Jiang, X Liu, K Liu… - International Journal of …, 2023 - Elsevier
In this paper, a Unified-Implementation of smoothed finite element method (UI-SFEM) is
presented for analyzing large deformations of complex biological tissues using automatically …

A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element

M Liu, G Gao, H Zhu, C Jiang, G Liu - Engineering Analysis with Boundary …, 2021 - Elsevier
Smoothed finite element method (S-FEM) has attracted lots of attentions in the fields of
computational mechanics, especially in solid mechanics and heat transfer problems. In …

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 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 …

F‐bar aided edge‐based smoothed finite element method using tetrahedral elements for finite deformation analysisof nearly incompressible solids

Y Onishi, R Iida, K Amaya - International Journal for Numerical …, 2017 - Wiley Online Library
A new smoothed finite element method (S‐FEM) with tetrahedral elements for finite strain
analysis of nearly incompressible solids is proposed. The proposed method is basically a …

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 …