A continuous material law for modeling thin-sheet piles and their frictional connection |
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| Authors: | AS Pechstein LG Aigner J Gerstmayr |
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| Institution: | 1. Institute of Technical Mechanics, Johannes Kepler University Linz, Altenbergerstr. 69, 4040 Linz, Austria;2. Linz Center of Mechatronics GmbH, Altenbergerstr. 69, 4040 Linz, Austria;1. School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052 NSW, Australia;2. Department of Financial Mathematics, Johannes Kepler University Linz, Altenbergerstr. 69, 4040 Linz, Austria;3. Institute for Biophysics, Johannes Kepler University of Linz, Gruberstrasse 40, 4020 Linz, Austria;4. Department of Biology, Faculty of Science, Mahidol University and Nanotec-MU Center of Excellence on Intelligent Materials and Systems, 272 Rama VI, Ratchathewi, Bangkok 10400, Thailand;5. Agilent Technologies, Gruberstrasse 40, 4020 Linz, Austria;6. Institute of Human Virology and Department of Biochemistry and Molecular Biology, University of Maryland School of Medicine, Baltimore, Maryland 21201;1. Laboratoire Matériaux Avancés et Phénomènes Quantiques, Faculté des Sciences de Tunis, Université El Manar, 2092 Campus Universitaire, Tunis, Tunisia;2. Linz Institute for Organic Solar Cells (LIOS), Johannes Kepler University Linz, Altenbergerstr. 69, 4040 Linz, Austria;3. Faculté des Sciences de Bizerte, 7021 Zarzouna, Bizerte, Université de Carthage, Tunisia;1. Center for Micro- and Nanotechnologies, Ilmenau University of Technology, Gustav-Kirchhoff-Str. 7, D-98693 Ilmenau, Germany;2. Institute of Physics, Kazan Federal University, Kremlyovskaya St. 18, Kazan, Russia;3. Department of Kinetics and Catalysis, Institute of Problems of Chemical Physics, Semenov Avenue 1, Chernogolovka, Russia;4. Linz Institute for Organic Solar Cells, Altenberger Str. 69, A-4040 Linz, Austria;1. Institute of Polymer Extrusion and Compounding, Johannes Kepler University Linz, Altenberger Str. 69, 4040, Linz, Austria;2. Kompetenzzentrum Holz GmbH, Altenberger Str. 69, 4040, Linz, Austria |
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| Abstract: | In the present paper, the mechanical modeling and the numerical simulation of a pile of thin sheets under compressive and in-plane forces is presented. These sheets are not glued or laminated, but interact through frictional contact only. In applications, as for example the core of a large power transformer, such piles may consist of thousands of sheets, which are of thickness below 1 mm, while the dimensions of the pile reaches several meters. Also, several piles may interact by a frictional connection. Such connections are realized by regions where sheets from both stacks overlap mutually. Simulations using a properly meshed original geometry and standard finite element models lead to billions of unknowns for industrial applications. Additionally, the system is highly nonlinear due to the heavily coupled contact conditions posed on thousands of interfaces. Simulations become extremely expensive in terms of both memory and computation time, if not even unsolvable due to numerical convergence problems. The aim of this paper is to present a macroscopic material model, which can be applied to an equivalent homogenized computational domain representing the interconnected sheet piles. An extension of the material law in regions of mutual overlapping due to frictional connections is provided. When using the present approach, the homogenized computational domain can be discretized by a far smaller number of unknowns, while a good overall accuracy is retained. The numerical solution of standardized test problems is presented and verified against analytical considerations. |
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