A contact-impact model based on generalized pinballs in EUROPLEXUS
This report presents the formulation and implementation in the EUROPLEXUS code of a contact-impact model based on generalized pinballs. A generalized pinball (GPIN) is an extension of the concept of pinball (PINB), which can assume various geometrical shapes, in addition to that of a
sphere.
The aim of the model is to maintain the robustness of the classical PINB model, while avoiding some of PINB’s pitfalls in the enforcement of contact, especially when a fully coupled Lagrange Multiplier (LM) method is employed.
The GPIN method does not require the use of hierarchic pinballs, thanks to its geometric richness compared to the PINB method. This simplifies the programming (no recursion is needed) and reduces drastically the possibility of generating redundant constraints, which would render the problem untractable by the LM method (over-determined system of constraints, leading to a singular matrix of connections).
The GPIN model has been under development since 2014. It has reached a form that makes it usable and therefore it deserves the publishing of the present theoretical documentation.
The model is particularly suited to treat sliding problems, as opposed to the classical PINB method which is the one of choice for extreme contact-impact problems involving body fragmentation, penetration and element erosion. Therefore, it is an alternative rather than a competitor to PINB and the two models together should cover a large number of industrial applications involving contact-impact.
CASADEI Folco;
VALSAMOS Georgios;
LARCHER Martin;
2023-08-09
Publications Office of the European Union
JRC134226
978-92-68-05664-6 (online),
1831-9424 (online),
EUR 31595 EN,
OP KJ-NA-31-595-EN-N (online),
https://publications.jrc.ec.europa.eu/repository/handle/JRC134226,
10.2760/081008 (online),
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