An element-based formulation for ES-FEM and FS-FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis

  • Edge-based and face-based smoothed finite element methods (ES-FEM and FS-FEM, respectively) are modified versions of the finite element method allowing to achieve more accurate results and to reduce sensitivity to mesh distortion, at least for linear elements. These properties make the two methods very attractive. However, their implementation in a standard finite element code is nontrivial because it requires heavy and extensive modifications to the code architecture. In this article, we present an element-based formulation of ES-FEM and FS-FEM methods allowing to implement the two methods in a standard finite element code with no modifications to its architecture. Moreover, the element-based formulation permits to easily manage any type of element, especially in 3D models where, to the best of the authors' knowledge, only tetrahedral elements are used in FS-FEM applications found in the literature. Shape functions for non-simplex 3D elements are proposed in order to apply FS-FEM to any standard finite element.

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Metadaten
Author:Daniele Colombo, Slah Drira, Ralf FrotscherORCiD, Manfred StaatORCiD
DOI:https://doi.org/10.1002/nme.7126
ISSN:1097-0207
Parent Title (English):International Journal for Numerical Methods in Engineering
Publisher:Wiley
Place of publication:Chichester
Document Type:Article
Language:English
Year of Completion:2022
Date of the Publication (Server):2022/10/10
Tag:ES-FEM; FS-FEM; S-FEM; distorted element; non-simplex S-FEM elements
Volume:124
Issue:2
First Page:402
Last Page:433
Link:https://doi.org/10.1002/nme.7126
Zugriffsart:weltweit
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
open_access (DINI-Set):open_access
collections:Verlag / Wiley
Open Access / Hybrid
Licence (German): Creative Commons - Namensnennung