Modelling of the structure and the properties of 3D warp knitted spacer fabrics and experimental evaluation
Mechanical Properties of Metallic Materials and their Microstructural Origins
Production Automation and Assembly Technology
Final Report Abstract
Spacer fabrics are three-dimensional integral textile structures, consisting of two warp knitted textile layers, which are connected by vertical monofil threads. Their structural mechanical properties, like compression behavior and permeability, allow for numerous applications in light-weight construction, in sport and medical textiles, as well as in the automotive industry. By systematic choice of utilized materials, of the complex 3D textile topology and the manufacturing process, these properties can be optimized for the specific application. Typically, this optimization is done in form of a classical design process via the trial-and-error principle. A mathematical multi-scale model for the computation of relevant structural mechanical properties of spacer fabrics was developed, with which these costly design process can be accelerated by simulations and with which the future development of spacer fabrics can be facilitated. Our derived and implemented numerical methods are based on the mathematical concepts of dimension reduction and homogenization and were validated and extended iteratively by comparative experiments. Aim of project phase I was the automatic generation of representative virtual spacer fabrics on the yarnscale. Industry standard input formats for the knitted surfaces and mechanical characterization of the employed mono- and multifilament in form of force-strain curves serve as a simulation input. Utilizing the finite element method (FEM), effective tensile and bending stiffness of the virtual structures on the textile-scale are attained. Furthermore, infiltration properties and permeability are determined by fluid-flow simulations. Two research focuses were in investigated in project phase II. The first topic is the prediction and control of compression resistance of the textile via local constriction by seams. This research question is in particular of interest in the application as padding and damping material. The second focus was on the modeling of flow-induced displacement of the spacer fabric in application as a filter medium. Bending of textile layers are expected due to jumps in fluid pressure during filtration applications. We derived an effective macro-scale model for the fluid-structure interaction with the complex textile structure, analyzed it mathematically and implemented it using FEM solvers. The utilized multi-scale method incorporates the effective mechanical properties computed in project phase I as model parameters. Therefore, an optimization of textile manufacturing parameters to attain desired infiltration properties of the spacer fabric in application can be performed.
Publications
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Simulation of Elastic Properties of Spacer Fabrics and its Effective Permeability at Different Compression States. Proceedings of the 7th World Conf. 3D Fabrics and Their Applications (Edited by Boussu, F.; Chen, X.), Roubaix, France, Sep 08-09 2016. ISBN 978-2-9557912-0-2.
Fassbender, A.; Orlik, J.; Pietsch, K.; Rief, S. & Shamanskiy, A.
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Design optimization in periodic structural plates under the constraint of anisotropy. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 97(10), 1220-1235.
Hauck, Michael; Klar, Axel & Orlik, Julia
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Does the Weaving and Knitting Pattern of a Fabric Determine its Relaxation Time?. The Quarterly Journal of Mechanics and Applied Mathematics, 70(4), 337-361.
Orlik, J.; Andrä, H.; Argatov, I. & Staub, S.
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Simulationstechniken zur Auslegung textilverstärkter Verbundwerkstoffe. Proceedings „Industrieworkshop Digitale Technologien für Fasern, Vliesstoffe und Technische Textilien“ 20.-21.09.2017, Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM, Kaiserslautern.
Ikenna, I.; Niedziela, D.; Orlik, J.; Rief, S. & Steiner, K.
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Simulation and Experimental Validation of Spacer Fabrics Based on their Structure and Yarn’s Properties. Applied Composite Materials, 25(4), 709-724.
Orlik, Julia; Pietsch, Kathrin; Fassbender, Achim; Sivak, Olena & Steiner, Konrad
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Simulation, measurement and evaluation of the effective Elastic Properties of 3d warp knitted Spacer Fabrics. In: CD-ROM Proceedings “The 8th World Conference on 3D Fabrics and Their Applications 28-29 March 2018, The University of Manchester, 27-28 March 2018, Manchester/UK.
Pietsch; K.; Orlik, J.; Fassbender, A. & Sivak, O.
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Asymptotic analysis of a viscous fluid layer separated by a thin stiff stratified elastic plate. Applicable Analysis, 100(3), 589-629.
Orlik, Julia; Panasenko, Grigory & Stavre, Ruxandra
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Recent Efforts in Modeling and Simulation of Textiles. Textiles, 1(2), 322-336.
Orlik, Julia; Krier, Maxime; Neusius, David; Pietsch, Kathrin; Sivak, Olena & Steiner, Konrad
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Simulation based Study, how seams design and prestrain the structural properties of spacer fabrics influence. In: Book of Abstracts “20th AUTEX World Textile Conference - Unfolding the Future”, 5 -9 September 2021, ID 262, ISBN 978-989-54808-6.
Pietsch; K. & Orlik, J.
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Periodic unfolding for lattice structures. Ricerche di Matematica, 73(5), 2505-2539.
Falconi, Riccardo; Griso, Georges & Orlik, Julia
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Asymptotic behavior for textiles with loose contact. Mathematical Methods in the Applied Sciences, 46(16), 17082-17127.
Orlik, Julia; Falconi, Riccardo; Griso, Georges & Wackerle, Stephan
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Efficient simulation of flowinduced deformation of woven filter media. In: Proceedings International Conference & Exhibition for Filtration and Separation Technology 2023. ISBN-13: 978-3-941655-21-8, 2023.
Krier, M.; Kirsch, R.; Mercier, C.; Orlik, J.; Rief, S. & Steiner, K.
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Solvability of a fluid-structure interaction problem with semigroup theory. AIMS Mathematics, 8(12), 29490-29516.
Krier, Maxime & Orlik, Julia
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Asymptotically Proved Numerical Coupling of a 2D Flexural Porous Plate with the 3D Stokes Fluid. Multiscale Modeling & Simulation, 22(4), 1608-1645.
Krier, Maxime; Orlik, Julia; Panasenko, Grigory & Steiner, Konrad
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On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition. International Journal of Engineering Science, 195, 104010.
Orlik, J.; Neusius, D.; Steiner, K. & Krier, M.
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Compression behavior of sectioned spacer fabrics by sewing seams: Experimental and numerical investigation. Textile Research Journal, 95(13-14), 1679-1690.
Schmidt, Ann-Malin; Pietsch, Kathrin & Kyosev, Yordan
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Multi-scale optimization problem for the flow-induced displacement of a periodic filter medium. Optimization and Engineering, 26(3), 2265-2305.
Krier, Maxime; Orlik, Julia & Pinnau, René
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Simulation on the Yarn-Level and Experimental Validation of Spacer Fabrics Compression by a Rigid Punch. Influence of Seams in the Spacer Fabric. Acta Mechanica et Automatica, 19(1), 70-76.
Krier, Maxime; Orlik, Julia & Pietsch, Kathrin
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Software TexMath For Mechanical Textile Simulation at the Yarn Level. J Textile Sci \& Fashion Tech, 2025, 11(3)
Orlik, J.; Neusius, D.; Krier, M. & Steiner, K.
