Abstract
In this section, the finite element equations for the updated Lagrangian formulation are developed by means of the principle of virtual power. For this purpose the current domain Ω is subdivided into elements Ω e so that the union of the elements comprises the total domain, Ω = ∪ Ω e . The nodal coordinates in the current configuration are denoted by x iI , I= 1 to n N . Lower case subscripts are used for components, upper case subscripts for nodal values. In two dimensions, x iI = [x I ,y I ], in three dimensions x iI = [x I ,y I ,z I ]. The nodal coordinates in the undeformed configuration are X iI .
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References
Belytschko, T., Liu, W.K. and Moran, B. Nonlinear Finite Elements for Continua and Structures, Wiley, Chichester, U.K., 2000.
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© 2001 Springer-Verlag Wien
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Ambrosio, J.A.C. (2001). Finite Element Discretization. In: Ambrosio, J.A.C. (eds) Crashworthiness. International Centre for Mechanical Sciences, vol 423. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2572-4_12
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DOI: https://doi.org/10.1007/978-3-7091-2572-4_12
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83334-6
Online ISBN: 978-3-7091-2572-4
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