Some advances in high-performance finite element methods

S Cen, CJ Wu, Z Li, Y Shang, C Li - Engineering Computations, 2019 - emerald.com
Purpose The purpose of this paper is to give a review on the newest developments of high-
performance finite element methods (FEMs), and exhibit the recent contributions achieved …

Hourglassing‐and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics

R Pfefferkorn, P Betsch - International Journal for Numerical …, 2023 - Wiley Online Library
We present a novel geometrically nonlinear EAS element with several desirable features.
First, a Petrov–Galerkin ansatz significantly improves the element's performance in distorted …

Penalty C0 8-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method

HP Wu, Y Shang, S Cen, CF Li - Engineering Analysis with Boundary …, 2023 - Elsevier
In this paper, the penalty unsymmetric finite element framework for the consistent couple
stress theory is derived from the virtual work principle. The C 1 continuity requirement is …

Self-updated four-node finite element using deep learning

J Jung, H Jun, PS Lee - Computational Mechanics, 2022 - Springer
This paper introduces a new concept called self-updated finite element (SUFE). The finite
element (FE) is activated through an iterative procedure to improve the solution accuracy …

An unsymmetric 8‐node hexahedral element with high distortion tolerance

PL Zhou, S Cen, JB Huang, CF Li… - International Journal for …, 2017 - Wiley Online Library
Among all 3D 8‐node hexahedral solid elements in current finite element library, the
'best'one can produce good results for bending problems using coarse regular meshes …

High-performance unsymmetric 8-node hexahedral element in modeling nearly-incompressible soft tissues

YF Wang, S Cen, CF Li, Q Zhang - International Journal of Mechanical …, 2023 - Elsevier
In biomechanics problems, the biological soft tissues are usually treated as anisotropic
nearly incompressible hyperelastic materials, but such complicated nonlinear material …

Advances in shape-free finite element methods: a review

S CEN, Y SHANG, P ZHOU, M ZHOU… - Engineering …, 2017 - engineeringmechanics.cn
As the most important tool for simulation and computation, the finite element method has
been widely applied in engineering and scientific problems. However, this powerful method …

High‐performance geometric nonlinear analysis with the unsymmetric 4‐node, 8‐DOF plane element US‐ATFQ4

Z Li, S Cen, CJ Wu, Y Shang… - International Journal for …, 2018 - Wiley Online Library
Summary A recent unsymmetric 4‐node, 8‐DOF plane element US‐ATFQ4, which exhibits
excellent precision and distortion‐resistance for linear elastic problems, is extended to …

A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements

B Prabhune, K Suresh - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
The finite element method (FEM) requires elements to be tangle-free ie the Jacobian must
be positive throughout the element. In particular, quadrilateral and hexahedral elements are …

An unsymmetric 8‐node hexahedral solid‐shell element with high distortion tolerance: linear formulations

J Huang, S Cen, Z Li, CF Li - International Journal for …, 2018 - Wiley Online Library
A locking‐free unsymmetric 8‐node solid‐shell element with high distortion tolerance is
proposed for general shell analysis, which is equipped with translational degrees of freedom …