Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 45, Issue 8-9, Pages 583-591Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.finel.2009.03.003
Keywords
Continuum-based (CB) beam element; Finite element analysis; Explicit dynamic analysis
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In this paper, a continuum-based (CB) beam element based on the original work of Belytschko [Nonlinear Finite Elements for Continua and Structures, Wily, New York 2001] has been modified and analysed in the framework of explicit finite element methods. Two main differences are introduced with respect to the original finite element technology proposed in Belytschko [Nonlinear Finite Elements for Continua and Structures, Wiley, New York, 2001]. Firstly, the velocity gradient tensor is computed in the slave nodes of the finite element rather than in the master nodes, enabling a more effective computational performance in terms of CPU-time as well as convergence. Secondly, the thickness of the element is assumed to be variable, which allows dilation and/or contraction when large deformation processes are involved. A series of numerical examples are presented in order to verify the robustness and capabilities of the algorithm. (C) 2009 Elsevier B.V. All rights reserved.
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