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A cell-based smoothed finite element method for three dimensional solid structures

  • This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided into 1 or several smoothing cells. It is observed that: 1) The CS-FEM using a single smoothing cell can produce higher stress accuracy, but insufficient rank and poor displacement accuracy; 2) The CS-FEM using several smoothing cells has proper rank, good displacement accuracy, but lower stress accuracy, especially for nearly incompressible and bending dominant problems. We therefore propose 1) an extension of strain smoothing to 8-noded hexahedral elements and 2) an alternative CS-FEM form, which associates the single smoothing cell issue with multi-smoothing cell one via a stabilization technique. Several numerical examples are provided to show the reliability and accuracy of the present formulation.

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Metadaten
Document Type:Article
Author: Hung Nguyen-Xuan, Hiep Vinh Nguyen, Stéphane Pierre Alain Bordas, Timon RabczukORCiDGND, Marc Duflot
DOI (Cite-Link):https://doi.org/10.1007/s12205-012-1515-7Cite-Link
Parent Title (English):KSCE Journal of Civil Engineering
Language:English
Date of Publication (online):2017/08/24
Year of first Publication:2014
Release Date:2017/08/24
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
First Page:1230
Last Page:1242
GND Keyword:Angewandte Mathematik; Strukturmechanik
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
50 Technik allgemein / 50.31 Technische Mechanik
Licence (German):License Logo Creative Commons 4.0 - Namensnennung (CC BY 4.0)
Licence (German):License Logo Copyright All Rights Reserved - only metadata