Updated Lagrangian formulations of two hexahedral elements with rotational DOFs. Issue 2 (4th March 2018)

• Record Type: Journal Article
• Authors: Zouari, Wajdi; Hammadi, Fodil; Assarar, Mustapha; Ayad, Rezak
• Is Part Of: Revue Européenne de mécanique numérique. Volume 27:Issue 2(2018)
• Page Start: 143
• Page End: 162
• Publication Date: 2018-03-04
• Subjects: Large deflection problems -- 3D hexahedral element -- rotational DOFs -- updated Lagrangian scheme; Engineering mathematics -- Periodicals; Mechanics -- Data processing -- Periodicals; Finite element method -- Periodicals; Mechanics -- Mathematical models -- Periodicals; Engineering -- Statistical methods -- Periodicals; 621.05
• DOI: 10.1080/17797179.2018.1484203
• Languages: English
• ISSNs: 1779-7179

Abstract

ABSTRACT: Updated Lagrangian formulations of two eight-node hexahedral solid elements with rotational degrees of freedom (DOFs) are developed to analyse geometrically nonlinear large deflection problems. These two elements are based on the so-called Space Fibre Rotation (SFR) concept that considers fictive small rotations of a nodal fibre within the element to enrich the displacement vector approximation of low-order finite elements. The validity and efficiency of the proposed formulations are demonstrated by solving several nonlinear large deflection benchmarks and the obtained results show a much better accuracy than those based on the total Lagrangian approach.