Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

In-time implicit-explicit algorithm for nonlinear finite element analysis

J.L. Curiel Sosa*, E. de Souza Neto, D.R.J. Owen
Civil and Computational Engineering Centre, University of Wales–Swansea, Singleton Park, Swansea SA2 8PP, UK

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A scheme to solve finite element problems with certain nonlinearities has been developed. It consists of a combination of the two general strategies – explicit and implicit – in such a manner that when the implicit process starts to diverge, the explicit one is activated and executed until proper convergence is reached. Partitioning of the mesh into parts or groups of nodes for separate implicit or explicit treatment of solution is not considered in this work. The formulation is presented initially and its implementation is validated by the analysis of a key numerical example.

Keywords:  Explicit; Implicit; Nonlinear; Large deformations; Contact; Buckling

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