Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-24T17:28:38.689Z Has data issue: false hasContentIssue false
  • English
  • Français

VOLUMETRIC CELLS: A FRAMEWORK FOR A BIO-INSPIRED GEOMETRIC MODELLING METHOD TO SUPPORT HETEROGENEOUS LATTICE STRUCTURES

Part of: Design Support Tools

Published online by Cambridge University Press:  11 June 2020

N. Letov  and
Y. F. Zhao
N. Letov*
Affiliation:
McGill University, Canada
Y. F. Zhao
Affiliation:
McGill University, Canada
*
*[email protected]

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.

Current geometrical modelling approaches are unable to handle complex geometrical objects such as heterogeneous lattice structures. In this work, a framework for a novel bio-inspired geometric modelling method is proposed. The method can potentially support geometric modelling of heterogeneous lattice structures. The method utilises discretisation algorithms that are based on cell division processes encountered in nature. The method is verified on two 2D use-cases.

Keywords

3D modellingadditive manufacturingbiologically inspired designlattice structures
Type
Article
Information
Proceedings of the Design Society: DESIGN Conference , Volume 1 , May 2020 , pp. 295 - 304
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), 2020. Published by Cambridge University Press

References

ASTM (2015), ASTM F2792-12a: Standard terminology for additive manufacturing technologies, ASTM International, West Conshohocken (PA), United States.Google Scholar
Borrmann, A. et al. (2015), “Multi-scale geometric-semantic modeling of shield tunnels for GIS and BIM applications”, Computer-Aided Civil and Infrastructure Engineering, Vol. 30 No. 4, pp. 263–281. https://doi.org/10.1111/mice.12090CrossRefGoogle Scholar
Chu, C., Graf, G. and Rosen, D.W. (2008), “Design for additive manufacturing of cellular structures”, Computer-Aided Design and Applications, Vol. 5 No. 5, pp. 686–696. https://doi.org/10.3722/cadaps.2008.686-696CrossRefGoogle 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, pp. 100906:1–100906:13. https://doi.org/10.1115/1.4037305CrossRefGoogle Scholar
Engquist, B., Lötstedt, P. and Runborg, O. (2005), Multiscale Methods in Science and Engineering, Springer, Berlin.CrossRefGoogle Scholar
Feng, X. et al. (2013), “Multiscale geometric modeling of macromolecules II: Lagrangian representation”, Journal of Computational Chemistry, Vol. 34 No. 24, pp. 2100–2120. https://doi.org/10.1002/jcc.23364CrossRefGoogle ScholarPubMed
Frulloni, E. et al. (2007), “Experimental study and finite element analysis of the elastic instability of composite lattice structures for aeronautic applications”, Composite Structures, Vol. 78 No. 4, pp. 519–528. https://doi.org/10.1016/j.compstruct.2005.11.013CrossRefGoogle Scholar
Gómez-Gálvez, P. et al. (2018), “Scutoids are a geometrical solution to three-dimensional packing of epithelia”, Nature Communications, Vol. 9 No. 1, pp. 2960. https://doi.org/10.1038/s41467-018-05376-1CrossRefGoogle ScholarPubMed
Hermann, M., Pentek, T. and Otto, B. (2016), “Design principles for Industrie 4.0 scenarios”, 2016 49th Hawaii International Conference on System Sciences (HICSS), IEEE, Kauai (HI), United States, pp. 3928–3937. https://doi.org/10.1109/HICSS.2016.488CrossRefGoogle Scholar
ISO (2015), ISO/ASTM 17296-2:2015(E): Additive manufacturing — General Principles — Overview of process categories and feedstock, ISO, Geneva, Switzerland.Google Scholar
Katopodes, N.D. (2018), Free-Surface Flow, Elsevier. https://doi.org/10.1016/C2017-0-00542-6, available at.Google Scholar
Kaufman, A., Cohen, D. and Yagel, R. (1993), “Volume graphics”, IEEE Computer, Vol. 26 No. 7, pp. 51–64. https://doi.org/10.1109/MC.1993.274942CrossRefGoogle Scholar
Laine, S. and Karras, T. (2011), “Efficient sparse voxel octrees”, IEEE Transactions on Visualization and Computer Graphics, Vol. 17 No. 8, pp. 1048–1059. https://doi.org/10.1109/TVCG.2010.240CrossRefGoogle ScholarPubMed
Marschner, S. and Shirley, P. (2016), Fundamentals of Computer Graphics, Fourth Edition, CRC Press, New York (NY), United States.Google Scholar
Marshall, W.F. (2011), “Origins of cellular geometry”, BMC Biology, Vol. 9 No. 1, pp. 57. https://doi.org/10.1186/1741-7007-9-57CrossRefGoogle ScholarPubMed
Martínez, J., Dumas, J. and Lefebvre, S. (2016), “Procedural voronoi foams for additive manufacturing”, ACM Transactions on Graphics, Vol. 35 No. 4, pp. 44:1–44:12. https://doi.org/10.1145/2897824.2925922CrossRefGoogle Scholar
Mazurek, P. (2016), “Cell structures modeling using fractal generator and torus geometry”, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR), IEEE, Miedzyzdroje, Poland, pp. 750–755. https://doi.org/10.1109/MMAR.2016.7575230CrossRefGoogle Scholar
Minc, N., Burgess, D. and Chang, F. (2011), “Influence of cell geometry on division-plane positioning”, Cell, Vol. 144 No. 3, pp. 414–426. https://doi.org/10.1016/j.cell.2011.01.016CrossRefGoogle ScholarPubMed
Pasko, A. et al. (2011), “Procedural function-based modelling of volumetric microstructures”, Graphical Models, Vol. 73 No. 5, pp. 165–181. https://doi.org/10.1016/j.gmod.2011.03.001CrossRefGoogle Scholar
Prada, D., Galvis, A. and Sollero, P. (2017), “Superficial 3D mesh generation process using multimedia software for multiscale bone analysis”, International Conference on Boundary Element and Meshless Techniques, Bucharest, Romania, p. 126.Google Scholar
PTC. (2019), “Material homogenization for lattice simulation in additive manufacturing”, available at: https://support.ptc.com/help/creo/creo_pma/r6.0/usascii/whats_new_pma/addmanu-material_homogenization_lattice_simulation.html (accessed 22.10.2019).Google Scholar
Rom, M. and Brakhage, K.-H. (2011), Volume mesh generation for numerical flow simulations using Catmull-Clark and surface approximation methods, Institut für Geometrie und Praktische Mathematik, Aachen, Germany.Google Scholar
Sacks, M.S. et al. (2017), “On the need for multi-scale geometric modelling of the mitral heart valve”, Healthcare Technology Letters, Vol. 4 No. 5, pp. 150. https://doi.org/10.1049/htl.2017.0076CrossRefGoogle ScholarPubMed
Savio, G. et al. (2018), “Geometric modeling of cellular materials for additive manufacturing in biomedical field: A review”, Applied Bionics and Biomechanics, Vol. 2018, pp. 1654782:1–1654782:14. https://doi.org/10.1155/2018/1654782CrossRefGoogle ScholarPubMed
Schmick, M. and Bastiaens, P.I.H. (2014), “The interdependence of membrane shape and cellular signal processing”, Cell, Vol. 156 No. 6, pp. 1132–1138. https://doi.org/10.1016/j.cell.2014.02.007CrossRefGoogle ScholarPubMed
Seemann, P. et al. (2016), “Simplification of multi-scale geometry using adaptive curvature fields”, available at: http://arxiv.org/abs/1610.07368Google Scholar
Sossou, G. et al. (2019), “Design for 4D printing: A voxel-based modeling and simulation of smart materials”, Materials and Design, Vol. 175, pp. 107798. https://doi.org/10.1016/j.matdes.2019.107798CrossRefGoogle Scholar
Strand, R. (2004), “Surface skeletons in grids with non-cubic voxels”, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004., IEEE, Cambridge, UK, Vol. 1, pp. 548–551. https://doi.org/10.1109/ICPR.2004.1334195CrossRefGoogle Scholar
Tang, Y., Dong, G. and Zhao, Y.F. (2019), “A hybrid geometric modeling method for lattice structures fabricated by additive manufacturing”, The International Journal of Advanced Manufacturing Technology, Vol. 102 No. 9–12, pp. 4011–4030. https://doi.org/10.1007/s00170-019-03308-xCrossRefGoogle Scholar
Tang, Y., Kurtz, A. and Zhao, Y.F. (2015), “Bidirectional Evolutionary Structural Optimization (BESO) based design method for lattice structure to be fabricated by additive manufacturing”, Computer-Aided Design, Vol. 69, pp. 91–101. https://doi.org/10.1016/j.cad.2015.06.001CrossRefGoogle Scholar
Tang, Y., Yang, S. and Zhao, Y.F. (2016), “Design method for conformal lattice-skin structure fabricated by AM technologies”, Volume 1A: 36th Computers and Information in Engineering Conference, American Society of Mechanical Engineers, Charlotte (NC), United States, p. V01AT02A037. https://doi.org/10.1115/DETC2016-59738CrossRefGoogle Scholar
Tang, Y. and Zhao, Y.F. (2016), “A survey of the design methods for additive manufacturing to improve functional performance”, Rapid Prototyping Journal, Vol. 22 No. 3, pp. 569–590. https://doi.org/10.1108/RPJ-01-2015-0011CrossRefGoogle Scholar
Tao, W. and Leu, M.C. (2016), “Design of lattice structure for additive manufacturing”, 2016 International Symposium on Flexible Automation (ISFA), IEEE, Cleveland (OH), United States, pp. 325–332. https://doi.org/10.1109/ISFA.2016.7790182CrossRefGoogle Scholar
Telea, A. and Jalba, A. (2011), “Voxel-based assessment of printability of 3D shapes”, Proceedings of the 10th International Conference on Mathematical Morphology and Its Applications to Image and Signal Processing, Springer-Verlag, Berlin, Germany, pp. 393–404. https://doi.org/10.1007/978-3-642-21569-8_34CrossRefGoogle Scholar
Tewari, G., Gotsman, C. and Gortler, S.J. (2006), “Meshing genus-1 point clouds using discrete one-forms”, Computers & Graphics, Vol. 30 No. 6, pp. 917–926. https://doi.org/10.1016/j.cag.2006.08.019CrossRefGoogle Scholar
Vayre, B., Vignat, F. and Villeneuve, F. (2012), “Designing for Additive Manufacturing”, Procedia CIRP, Elsevier, Athens, Greece, Vol. 3, pp. 632–637. https://doi.org/10.1016/j.procir.2012.07.108CrossRefGoogle Scholar
Wadley, H.N.G. (2002), “Cellular metals manufacturing”, Advanced Engineering Materials, Vol. 4 No. 10, pp. 726–733. https://doi.org/10.1002/1527-2648(20021014)4:10<726::AID-ADEM726>3.0.CO;2-Y3.0.CO;2-Y>CrossRefGoogle Scholar
Wohlers, T.T. and Gornet, T. (2014), “History of additive manufacturing”, Wohlers Report, Vol. 24 No. 2014, pp. 118.Google Scholar
Xu, B. et al. (2013), “A three-dimensional soil–water coupled FE analysis of hollow cylinder test concerning non-uniform deformation”, Soils and Foundations, Vol. 53 No. 6, pp. 923–936. https://doi.org/10.1016/j.sandf.2013.10.011CrossRefGoogle Scholar
Youssef, B.B. (2013), “Parallelization of a bio-inspired computational model for the simulation of 3-D multicellular tissue growth”, Procedia Computer Science, Elsevier, Baltimore (MD), USA, Vol. 20, pp. 391–398. https://doi.org/10.1016/j.procs.2013.09.292CrossRefGoogle Scholar
Zeng, J., Del Angel, A. and White, S. (2019), Generating data for a three-dimensional (3D) printable object, United States.Google Scholar
Zhang, H.W., Wu, J.K. and Fu, Z.D. (2010), “Extended multiscale finite element method for mechanical analysis of periodic lattice truss materials”, International Journal for Multiscale Computational Engineering, Vol. 8 No. 6, pp. 597–613. https://doi.org/10.1615/IntJMultCompEng.v8.i6.40CrossRefGoogle Scholar