<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper presents a four-node tetrahedral solid finite element SFR4 with rotational degrees of freedom (DOFs) based on the Space Fiber Rotation (SFR) concept for modeling three-dimensional solid structures. This SFR concept is based on the idea that a 3D virtual fiber, after a spatial rotation, introduces an enhancement of the strain field tensor approximation. Full numerical integration is used to evaluate the element stiffness matrix. To demonstrate the efficiency and accuracy of the developed four-node tetrahedron solid element and to compare its performance with the classical four-node tetrahedral element, extensive numerical studies are presented.</p></abstract>

The paper presents a four-node tetrahedral solid finite element SFR4 with rotational degrees of freedom (DOFs) based on the Space Fiber Rotation (SFR) concept for modeling three-dimensional solid structures. This SFR concept is based on the idea that a 3D virtual fiber, after a spatial rotation, introduces an enhancement of the strain field tensor approximation. Full numerical integration is used to evaluate the element stiffness matrix. To demonstrate the efficiency and accuracy of the developed four-node tetrahedron solid element and to compare its performance with the classical four-node tetrahedral element, extensive numerical studies are presented.

A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept

Laboratoire de Génie Energétique et Matériaux, LGEM

Acta Universitatis Sapientiae, Electrical and Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept"}

The paper presents a four-node tetrahedral solid finite element SFR4 with rotational degrees of freedom (DOFs) based on the Space Fiber Rotation (SFR) concept...

A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept

Published Online: Dec 31, 2019

Page range: 67 - 78

Received: Aug 23, 2019

DOI: https://doi.org/10.2478/auseme-2019-0006

Keywords
Four-node tetrahedral element, 3D finite element, Space Fiber Rotation concept, rotational DOFs

© 2019 Kamel Meftah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept

Published Online: Dec 31, 2019

Page range: 67 - 78

Received: Aug 23, 2019

DOI: https://doi.org/10.2478/auseme-2019-0006

KeywordsFour-node tetrahedral element, 3D finite element, Space Fiber Rotation concept, rotational DOFs

© 2019 Kamel Meftah et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Four-node tetrahedral element, 3D finite element, Space Fiber Rotation concept, rotational DOFs