Nonlinear performance of continuum mechanics based beam elements focusing on large twisting behaviors

Kyungho Yoon, Phill Seung Lee

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


In this paper, we present the nonlinear formulation and performance of continuum mechanics based beam elements, in which fully coupled 3D behaviors of stretching, bending, shearing, twisting, and warping are automatically considered. The beam elements are directly degenerated from assemblages of 3D solid elements under the assumptions of Timoshenko beam theory. Therefore, cross-sectional discretization is possible and the elements can model complicated 3D beam geometries including curved and twisted geometries, varying cross-sections, eccentricities, and arbitrary cross-sectional shapes. In particular, the proposed nonlinear formulation can accurately predict large twisting behaviors coupled with stretching, bending, shearing, and warping. Through various numerical examples, we demonstrate the geometric (and material) nonlinear performance of the continuum mechanics based beam elements.

Original languageEnglish
Pages (from-to)106-130
Number of pages25
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2014 Nov 1

Bibliographical note

Funding Information:
This work was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2014R1A1A1A05007219 ). This work was also conducted under the framework of Research and Development Program of the Korea Institute of Energy Research (KIER) (B4-2453).

Publisher Copyright:
© 2014 Elsevier B.V.

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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