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 …

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 (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 …

Topology optimization of micro-structured materials featured with the specific mechanical properties

J Gao, H Li, Z Luo, L Gao, P Li - International Journal of …, 2020 - World Scientific
Micro-structured materials consisting of an array of microstructures are engineered to
provide the specific material properties. This present work investigates the design of cellular …

An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals

E Li, ZC He, G Wang, GR Liu - Computer Methods in Applied Mechanics …, 2018 - Elsevier
The paper presents an efficient and accurate algorithm to analyze the fluid/solid and
solid/fluid phononic crystals (PCs) with fluid structure interaction (FSI). In the proposed mass …

Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials

E Li, ZC He, JY Hu, XY Long - Computer Methods in Applied Mechanics …, 2017 - Elsevier
In the design of locally resonant acoustic metamaterials (LRAMs), the incompressible rubber
is widely used. However, the physical behavior of LRAMs with a ternary structure is very …

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 Lagrangian nodal integration method for free-surface fluid flows

A Franci, M Cremonesi, U Perego, E Oñate - Computer Methods in Applied …, 2020 - Elsevier
We present a Lagrangian nodal integration method for the simulation of Newtonian and non-
Newtonian free-surface fluid flows. The proposed nodal Lagrangian method uses a finite …

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 stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow

M Liu, G Gao, H Zhu, C Jiang - Engineering Analysis with Boundary …, 2021 - Elsevier
In this paper, the exhaustive usage and implementation of Streamline-Upwind/Petrov-
Galerkin method combining with Stabilized Pressure Gradient Projection (SUPG/SPGP) for …