The ALE-method with triangular elements: direct convection of integration point values

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Haaren, M.J. van and Stoker, H.C. and Boogaard, A.H. van den and Huetink, J. (2000) The ALE-method with triangular elements: direct convection of integration point values. International Journal for Numerical Methods in Engineering, 49 (5). pp. 697-720. ISSN 0029-5981

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Abstract:The arbitrary Lagrangian-Eulerian (ALE) finite element method is applied to the simulation of forming processes where material is highly deformed. Here, the split formulation is used: a Lagrangian step is done with an implicit finite element formulation, followed by an explicit (purely convective) Eulerian step. The purpose of this study is to investigate the Eulerian step for quadratic triangular elements. To solve the convection equation for integration point values, a new method inspired by Van Leer is constructed. The new method is based on direct convection of integration point values without intervention of nodal point values.
The Molenkamp test and a so-called block test were executed to check the performance and stability of the convection scheme. From these tests it is concluded that the new convection scheme shows accurate results. The scheme is extended to an ALE-algorithm. An extrusion process was simulated to test the applicability of the scheme to engineering problems. It is concluded that direct convection of integration point values with the presented algorithm leads to accurate results and that it can be applied to ALE-simulations
Item Type:Article
Copyright:© 2000 Wiley InterScience
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Engineering Technology (CTW)
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Link to this item:http://purl.utwente.nl/publications/59341
Official URL:http://dx.doi.org/10.1002/1097-0207(20001020)49:5<697::AID-NME976>3.0.CO;2-U
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