Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-28T06:04:54.076Z Has data issue: false hasContentIssue false

Influences and Effects on Scaling the Pressure Stiffness of Additively Manufactured Meso Structures

Published online by Cambridge University Press:  26 May 2022

F. Schulte*
Affiliation:
Technical University of Darmstadt, Germany
L. Sauerzapf
Affiliation:
Technical University of Darmstadt, Germany
E. Kirchner
Affiliation:
Technical University of Darmstadt, Germany

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

AM-meso structures offer a high potential for adapted properties combined with lightweight design. To utilize the potential a purposeful design of the meso structures is required. Therefore, this contribution presents an approach for modelling their properties depending on design parameters by scaling relationships. The relationships are investigated based on grey box and axiomatic models of elementary cells. Exemplary the pressure stiffness is determined using FEM in comparison to an analytical approximation. The comparison reveals effects and influences occurring within the elementary cell.

Type
Article
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
Copyright
The Author(s), 2022.

References

Becker, W. and Gross, D. (2002), Mechanik elastischer Körper und Strukturen, Berlin, Heidelberg, s.l., Springer Berlin Heidelberg. https://dx.doi.org/10.1007/978-3-642-56124-5CrossRefGoogle Scholar
Cheng, L., Liang, X., Belski, E., Wang, X., Sietins, , et al. (2018), “Natural Frequency Optimization of Variable-Density Additive Manufactured Lattice Structure: Theory and Experimental Validation”, Journal of Manufacturing Science and Engineering, Vol. 140, No. 10, p. 952. https://dx.doi.org/10.1115/1.4040622CrossRefGoogle Scholar
Cheng, L., Zhang, P., Biyikli, E., Bai, J., Robbins, J. and To, A. (2017), “Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation”, Rapid Prototyping Journal, Vol. 23, No. 4, pp. 660677. https://dx.doi.org/10.1108/RPJ-04-2016-0069CrossRefGoogle Scholar
Crupi, V., Kara, E., Epasto, G., Guglielmino, E. and Aykul, H. (2017), “Static behavior of lattice structures produced via direct metal laser sintering technology”, Materials & Design, Vol. 135, No. 4, pp. 246256. https://dx.doi.org/10.1016/j.matdes.2017.09.003CrossRefGoogle Scholar
Dassault Systèmes SE: Abaqus/CAE. 2020.Google Scholar
Dong, G., Tang, Y. and Zhao, Y. F. (2017), “A Survey of Modeling of Lattice Structures Fabricated by Additive Manufacturing”, Journal of Mechanical Design, Vol. 139, No. 10, p. 187. https://dx.doi.org/10.1115/1.4037305CrossRefGoogle Scholar
Ge, C., Priyadarshini, L., Cormier, D., Pan, L., Tuber, J. (2018), “A preliminary study of cushion properties of a 3D printed thermoplastic polyurethane Kelvin foam”, Packaging Technology and Science, Vol. 31 No. 5, S. 361368. https://dx.doi.org/10.1002/pts.2330.CrossRefGoogle Scholar
Gibson, L. J. and Ashby, M. F. (2014), Cellular Solids - Structure and properties, 2. ed., Cambridge solid state science series. Cambridge University Press, Cambridge. 10.1017/CBO9781139878326Google Scholar
Hao, L., Raymont, D., Yan, C., Hussein, A. and Young, P. (2011) “Design and additive manufacturing of cellular lattice structures”, Innovative Developments in Virtual and Physical Prototyping, CRC Press, pp. 249254. https://dx.doi.org/10.1201/b11341-40Google Scholar
Hradetzky, J. (1978), Das Bestimmtheitsmaß, Forstwissenschaftliches Centralblatt, Vol. 97, No. 1, pp. 168181. https://dx.doi.org/10.1007/BF02741104CrossRefGoogle Scholar
Lachmayer, R. and Lippert, R. B. (2020), Entwicklungsmethodik für die Additive Fertigung, Berlin, Springer Berlin; Springer Vieweg. https://dx.doi.org/10.1007/978-3-662-59789-7Google Scholar
Maconachie, T., Leary, M., Lozanovski, B., Zhang, X., Qian, M. et al. . (2019), “SLM lattice structures: Properties, performance, applications and challenges”, Materials & Design, Vol. 183, No. 3, p. 108137. https://dx.doi.org/10.1016/j.matdes.2019.108137CrossRefGoogle Scholar
Nguyen, C. H. P., Kim, Y. and Choi, Y. (2021) “Design for Additive Manufacturing of Functionally Graded Lattice Structures: A Design Method with Process Induced Anisotropy Consideration”, International Journal of Precision Engineering and Manufacturing-Green Technology, Vol. 8, No. 1, pp. 2945. https://dx.doi.org/10.1007/s40684-019-00173-7CrossRefGoogle Scholar
Nguyen, J., Park, S.-i. and Rosen, D. (2013) “Heuristic optimization method for cellular structure design of light weight components”, International Journal of Precision Engineering and Manufacturing, Vol. 14, No. 6, pp. 10711078. https://dx.doi.org/10.1007/s12541-013-0144-5CrossRefGoogle Scholar
Ruiz de Galarreta, S., Jeffers, J. R.T. and Ghouse, S. (2020) “A validated finite element analysis procedure for porous structures”, Materials & Design, Vol. 189, p. 108546. https://dx.doi.org/10.1016/j.matdes.2020.108546CrossRefGoogle Scholar
Schulte, F. and Kirchner, E. (2021) “Ansatz zur belastungsgerechten Auslegung additiv gefertigter Meso-Strukturen in Bauteilen”, Proceedings of the 32nd Symposium Design for X, 27 and 28 September 2021, The Design Society. https://dx.doi.org/10.35199/dfx2021.16Google Scholar
Shi, X., Liao, W., Liu, T., Zhang, C., Li, D., Jiang, W. et al. . (2021) “Design optimization of multimorphology surface-based lattice structures with density gradients”, The International Journal of Advanced Manufacturing Technology, Vol. 117, No. 7-8, pp. 20132028. https://dx.doi.org/10.1007/s00170-021-07175-3CrossRefGoogle Scholar
Smith, M., Guan, Z. and Cantwell, W. J. (2013) “Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique”, International Journal of Mechanical Sciences, Vol. 67, No. 36–37, pp. 2841. https://dx.doi.org/10.1016/j.ijmecsci.2012.12.004CrossRefGoogle Scholar
Steffan, K.-E. W. H., Fett, M. and Kirchner, E. (2020) “Extended approach to optimize modular product through the potentials of additive manufacturing”, Proceedings of the Design Society: DESIGN Conference, Vol. 1, pp. 11151124. https://dx.doi.org/10.1017/dsd.2020.172Google Scholar
Steffan, K.-E., Fett, M., Kurth, D. and Kirchner, E. (2021) “Identification of optimization areas of a transtibial prothesis through the potentials of additive manufacturing processesProceedings of the Design Society, Vol. 1, pp. 18071816. https://dx.doi.org/10.1017/pds.2021.442CrossRefGoogle Scholar
Vega-Moreno, A., Tenegi Sanginés, F., Márquez-Rodríguez, J. F., Calvo-Tovar, J., Schnetler, H., et al. . (2020) “Design for additive manufacture (DfAM): the “equivalent continuum material” for cellular structures analysis”, Modeling, Systems Engineering, and Project Management for Astronomy IX. Online Only, United States, 14.12.2020 - 18.12.2020, SPIE, p. 84. https://dx.doi.org/10.1117/12.2560999CrossRefGoogle Scholar
Wang, X., Zhu, L., Sun, L. and Li, N. (2020) “A study of functionally graded lattice structural design and optimisation”, 6th International Conference on Mechanical Engineering and Automation Science (ICMEAS). Moscow, Russia, 29.10.2020 - 31.10.2020, IEEE, pp. 5055. https://dx.doi.org/10.1109/icmeas51739.2020.00017CrossRefGoogle Scholar
Xu, S., Shen, J., Zhou, S., Huang, X. and Xie, Y. M. (2016) “Design of lattice structures with controlled anisotropy”, Materials & Design, Vol. 93, pp. 443447. https://dx.doi.org/10.1016/j.matdes.2016.01.007CrossRefGoogle Scholar