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| Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and P. Iványi 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 B.H.V. Topping, P. Iványi, (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.. Summary 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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