Virtual element method for cross-wedge rolling during tailored forming processes

authored by: Christoph Böhm, Jens Kruse, Malte Stonis, Fadi Aldakheel, Peter Wriggers
Abstract: In this work we present an application of the virtual element method (VEM) to a forming process of hybrid metallic structures by cross-wedge rolling. The modeling of that process is embedded in a thermomechanical framework undergoing large deformations, as outlined in [1, 2]. Since forming processes include mostly huge displacements within a plastic regime, the difficulty of an accurate numerical treatment arises. As shown in [3], VEM illustrates a stable, robust and quadratic convergence rate under extreme loading conditions in many fields of numerical mechanics. Numerically, the forming process is achieved by assigning time-dependent boundary conditions instead of modeling the contact mechanics yielding to a simplified formulation. Based on the two metallic combinations of steel and aluminum, different material properties are considered in the simulations. The purpose of this contribution is to illustrate the effectiveness of such a non-contact macroscopic framework by employing suitable boundary conditions within a virtual element scheme. A comparison with the classical finite element method (FEM) is performed to demonstrate the efficiency of the chosen approach. The numerical examples proposed in this work stem out from the DFG Collaborative Research Centre (CRC) 1153 “Process chain for the production of hybrid high-performance components through tailored forming”.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Institut für integrierte Produktion Hannover (IPH)
Type: Conference article
Journal: Procedia Manufacturing
Volume: 47
Pages: 713-718
No. of pages: 6
ISSN: 2351-9789
Publication date: 2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Industrial and Manufacturing Engineering, Artificial Intelligence
Electronic version(s): https://doi.org/10.1016/j.promfg.2020.04.220 (Access: Open)
https://doi.org/10.15488/15994 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{90534f38e9a2489dbadac19814997fe8,
title = "Virtual element method for cross-wedge rolling during tailored forming processes",
abstract = "In this work we present an application of the virtual element method (VEM) to a forming process of hybrid metallic structures by cross-wedge rolling. The modeling of that process is embedded in a thermomechanical framework undergoing large deformations, as outlined in [1, 2]. Since forming processes include mostly huge displacements within a plastic regime, the difficulty of an accurate numerical treatment arises. As shown in [3], VEM illustrates a stable, robust and quadratic convergence rate under extreme loading conditions in many fields of numerical mechanics. Numerically, the forming process is achieved by assigning time-dependent boundary conditions instead of modeling the contact mechanics yielding to a simplified formulation. Based on the two metallic combinations of steel and aluminum, different material properties are considered in the simulations. The purpose of this contribution is to illustrate the effectiveness of such a non-contact macroscopic framework by employing suitable boundary conditions within a virtual element scheme. A comparison with the classical finite element method (FEM) is performed to demonstrate the efficiency of the chosen approach. The numerical examples proposed in this work stem out from the DFG Collaborative Research Centre (CRC) 1153 “Process chain for the production of hybrid high-performance components through tailored forming”.",
keywords = "Cross Wedge Rolling, Large Deformations, Tailored Forming, Virtual Element Method (VEM)",
author = "Christoph B{\"o}hm and Jens Kruse and Malte Stonis and Fadi Aldakheel and Peter Wriggers",
note = "Funding information: The authors want to acknowledge the Deutsche Forschungsgemeinschaft (DFG) with the Collaborative Research Center 1153 (CRC 1153) “Process chain for the production of hybrid high-performance components through tailored forming”. The results presented in this work were obtained by a cooperation between the subprojects C4 and B1 within the CRC 1153.; 23rd International Conference on Material Forming, ESAFORM 2020 ; Conference date: 04-05-2020",
year = "2020",
doi = "10.1016/j.promfg.2020.04.220",
language = "English",
volume = "47",
pages = "713--718",
journal = "Procedia Manufacturing",
issn = "2351-9789",
publisher = "Elsevier BV",
}