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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
Edited by:
Paper 157

A Continuum Mechanics based Beam Finite Element for Elastoplastic Large Displacement Analysis

K. Yoon and P.S. Lee

Department of Ocean Systems Engineering, Korea Advanced Institute of Science and Technology, Republic of Korea

Full Bibliographic Reference for this paper
K. Yoon, P.S. Lee, "A Continuum Mechanics based Beam Finite Element for Elastoplastic Large Displacement Analysis", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 157, 2014. doi:10.4203/ccp.106.157
Keywords: beam, nonlinear analysis, finite element, warping, Wagner effect, postbuckling..

In this paper, a total Lagrangian formulation of three-dimensional continuum mechanics based beam finite elements is presented for general nonlinear analysis. Warping displacements are continuously interpolated with a corresponding warping director vector and a warping degree of freedom. The beam element has seven degrees of freedom at each beam node. The beam element provides excellent nonlinear performance to predict the large twisting behaviour of beams with complicated three-dimensional geometry. The Green-Lagrange strain obtained implicitly includes the Wagner strain coupled with other strain components. Thus, the present element can successfully simulate complex nonlinear phenomena. The performance of the continuum mechanics based beam finite element in general nonlinear analysis is demonstrated using two post-buckling problems with elastic and elasto-plastic materials.

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