A continuum mechanics based 3-D beam finite element with warping displacements and its modeling capabilities

Kyungho Yoon, Youngyu Lee, Phill Seung Lee

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

In this paper, we propose a continuum mechanics based 3-D beam finite element with crosssectional discretization allowing for warping displacements. The beam element is directly derived from the assemblage of 3-D solid elements, and this approach results in inherently advanced modeling capabilities of the beam element. In the beam formulation, warping is fully coupled with bending, shearing, and stretching. Consequently, the proposed beam elements can consider free and constrained warping conditions, eccentricities, curved geometries, varying sections, as well as arbitrary cross-sections (including thin/thick-walled, open/closed, and single/multi-cell cross-sections). We then study the modeling and predictive capabilities of the beam elements in twisting beam problems according to geometries, boundary conditions, and cross-sectional meshes. The results are compared with reference solutions obtained by analytical methods and solid and shell finite element models. Excellent modeling capabilities and solution accuracy of the proposed beam element are observed.

Original languageEnglish
Pages (from-to)411-437
Number of pages27
JournalStructural Engineering and Mechanics
Volume43
Issue number4
DOIs
Publication statusPublished - 2012 Aug 25

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering

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