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

Nguyen-Xuan, Hung, Nguyen, Hiep Vinh, Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Rabczuk, Timon and Duflot, Marc 2012. A cell-based smoothed finite element method for three dimensional solid structures. KSCE Journal of Civil Engineering 16 (7) , pp. 1230-1242. 10.1007/s12205-012-1515-7

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	3D elasticity – cell-based smoothed finite element (CS-FEM) – convergence – stabilization
Publisher:	Springer
ISSN:	1226-7988
Last Modified:	21 Oct 2022 10:23
URI:	https://orca.cardiff.ac.uk/id/eprint/40043

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