Volume 39, Number 4, August 2021
|Page(s)||747 - 752|
|Published online||23 September 2021|
Exploring three-dimensional edge-based smoothed finite element method based on polyhedral mesh to study elastic mechanics problems
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China
2 National Key Laboratory of Science and Technology on Liquid Rocket Engine, Xi'an 710100, China
This paper established the three-dimensional edge-based smoothed finite element method(ES-FEM) based on polyhedral mesh, divided the smoothed domain, constructed the shape function and derived the geometric matrix and the stiffness matrix. The MATLAB software was used to prepare the corresponding computing programs, with which the paper studied the stress distribution of a hollow sphere model and a beam model under different numbers of polyhedral elements. The paper compared the calculation results from the conventional finite element methods(FEM) that use tetrahedral elements and hexahedral elements respectively in terms of stress relative error and energy relative error. The comparison results show that the three-dimensional ES-FEM based on polyhedral mesh has better precision and convergence than the conventional FEM and better adaptability to complex geometric structures.
Key words: three-dimensional edge-based smoothed finite element method (ES-FEM) / polyhedral mesh / finite element method (FEM) / elastic mechanics
关键字 : 三维光滑边域有限元法 / 多面体网格 / 有限元 / 弹性力学
© 2021 Journal of Northwestern Polytechnical University. All rights reserved.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.