Abstract
The mechanical properties of nonwoven materials are investigated and optimized. On the micro scale these fabrics are modeled as network of beams. Here linear Timoshenko beams and geometrically exact beams are compared in simple tension tests. Then a homogenization scheme is used to calculate effective material tensors of Kirchhoff-Love plates, where periodically repeatable representative volume elements containing fiber networks define the micro structure. Finally, these effective properties are optimized by changing the shape of the underlying network.
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References
Allaire, G.: Homogenization and two-scale convergence. SIAM J. Math. Anal. 23(6), 1482–1518 (1992)
Bendsøe, M., Ben-Tal, A., Zowe, J.: Optimization methods for Truss geometry and topology design. Struct. Optim. 7, 141–159 (1994)
Gill, P., Murray, W., Saunders, M.: SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM Rev. 47(I), 99–131 (2005)
Haslinger, J., Mäkinen, R.A.E.: Introduction to Shape Optimization: Theory, Approximation, and Computation. SIAM, Philadelphia (2003)
Hohe, J., Becker, W.: Determination of the elasticity tensor of non-orthotropic cellular sandwich cores. Technische Mechanik 19(4), 259–268 (1999)
Ibrahimbegovic, A.: On the choice of finite rotation parameters. Comput. Methods Appl. Mech. Eng. 149, 49–71 (1997)
Langnese, J., Leugering, G., Schmidt, E.: Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures. Springer Science + Business Media, LLC, New York (1994)
Lebée, A., Sab, K.: Homogenization of a space frame as a thick plate: application of the Bending-Gradient theory to a beam lattice. Comput. Struct. 127, 88–101 (2013)
Muñoz Romero, J.: Finite-element analysis of flexible mechanisms using the master-slave approach with emphasis on the modelling of joints. Ph.D. thesis, IC London (2004)
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This work has been supported by the German BMBF, Project OPAL 05M2013.
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Strohmeyer, C., Leugering, G. (2016). Effective Mechanical Properties of Nonwovens Produced by Airlay Processes. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_135
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DOI: https://doi.org/10.1007/978-3-319-23413-7_135
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