journal article·2021-12-02Open access

Analysis of a Preliminary Design Approach for Conformal Lattice Structures

Pierandrea Dal Fabbro, Stefano Rosso, Alessandro Ceruti, Diego Boscolo Bozza, Roberto Meneghello, Gianmaria Concheri, Gianpaolo Savio

Applied Sciences· Volume 11· Issue 23

Abstract

An important issue when designing conformal lattice structures is the geometric modeling and prediction of mechanical properties. This paper presents suitable methods for obtaining optimized conformal lattice structures and validating them without the need for high computational power and time, enabling the designer to have quick feedback in the first design phases. A wireframe modeling method based on non-uniform rational basis spline (NURBS) free-form deformation (FFD) that allows conforming a regular lattice structure inside a design space is presented. Next, a previously proposed size optimization method is adopted for optimizing the cross-sections of lattice structures. Finally, two different commercial finite element software are involved for the validation of the results, based on Euler–Bernoulli and Timoshenko beam theories. The findings highlight the adaptability of the NURBS-FFD modeling approach and the reliability of the size optimization method, especially in stretching-dominated cell topologies and load conditions. At the same time, the limitation of the structural beam analysis when dealing with thick beams is noted. Moreover, the behavior of different kinds of lattices was investigated.
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Research context

OpenAlex topics: Cellular and Composite Structures · Topology Optimization in Engineering · Structural Analysis and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Civil, Environmental, and Architectural Engineering, University of Padova, Via Venezia, 1, 35131 Padova, Italy

Department of Management and Engineering, University of Padova, Stradella S. Nicola, 3, 36100 Vicenza, Italy

Department of Industrial Engineering, University of Bologna, Viale Risorgimento, 2, 40136 Bologna, Italy

EnginSoft SpA, Via Giambellino, 7, 35129 Padova, Italy

Funding

Regional Operational Programme F.S.E. 2014-2020 Veneto Region and the European Regional Development Fund POR 2014-2020 · Ph.D. grant of Fondazione Cassa di Risparmio di Padova e Rovigo (CARIPARO).

References (83)

Show source-provided references
1. Computer-Aided Design for Additive Manufacturing of Cellular Structures
2. Gibson, I., Rosen, D., Stucker, B., and Khorasani, M. (2021). Additive Manufacturing Technologies. Addit. Manuf. Technol.10.1007/978-3-030-56127-7 ↗
3. Ashby, M.F. (2010). Materials Selection in Mechanical Design, Butterworth Heinemann. [4th ed.].10.1016/B978-1-85617-663-7.00005-9 ↗
4. The properties of foams and lattices10.1098/rsta.2005.1678 ↗
5. Energy Absorption Properties of Periodic and Stochastic 3D Lattice Materials10.1002/adts.201900081 ↗
6. Design and analysis of strut-based lattice structures for vibration isolation10.1016/j.precisioneng.2017.09.010 ↗
7. Micro-architectured materials: Past, present and future
8. Mechanical behavior of a three-dimensional truss material10.1016/S0020-7683(00)00400-5 ↗
9. Geometric Modeling of Cellular Materials for Additive Manufacturing in Biomedical Field: A Review10.1155/2018/1654782 ↗
10. Pan, C., Han, Y., and Lu, J. (2020). Design and Optimization of Lattice Structures: A Review. Appl. Sci., 10.10.3390/app10186374 ↗
11. Architected cellular materials: A review on their mechanical properties towards fatigue-tolerant design and fabrication10.1016/j.mser.2021.100606 ↗
12. Effects of cell irregularity on the elastic properties of open-cell foams10.1016/S1359-6454(00)00282-2 ↗
13. Design and Optimization of Conforming Lattice Structures10.1109/TVCG.2019.2938946 ↗
14. Dal Fabbro, P., Rosso, S., Ceruti, A., Meneghello, R., Concheri, G., and Savio, G. (2022). Conformal lattice structures: Modeling and optimization. Design Tools and Methods in Industrial Engineering II: Proceedings of the Second International Conference on Design Tools and Methods in Industrial Engineering, ADM 2021, 9–10 September 2021, Rome, Italy. Lect. Notes Mech. Eng.10.1007/978-3-030-91234-5_48 ↗
15. Wang, H., Chen, Y., and Rosen, D.W. (2005, January 24–28). A Hybrid Geometric Modeling Method for Large Scale Conformal Cellular Structures. Proceedings of the International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA, USA.10.1115/DETC2005-85366 ↗
16. 3D Texture Mapping for Rapid Manufacturing
17. Buckminster Fuller’s “Tensegrity” structures and Clerk Maxwell’s rules for the construction of stiff frames10.1016/0020-7683(78)90052-5 ↗
18. Gibson, L.J., and Ashby, M.F. (1997). Ashby, Cellular Solids, Cambridge University Press.10.1017/CBO9781139878326 ↗
19. SLM lattice structures: Properties, performance, applications and challenges10.1016/j.matdes.2019.108137 ↗
20. 3D printed stretching-dominated micro-trusses10.1016/j.matdes.2017.08.061 ↗
21. Kirsch, U. (1993). Problem Statement—Structural Optimization: Fundamentals and Applications, Springer.10.1007/978-3-642-84845-2_1 ↗
22. Mantovani, S., Campo, G., and Giacalone, M. (2020). Steering column support topology optimization including lattice structure for metal additive manufacturing. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., 095440622094712.10.1177/0954406220947121 ↗
23. Surface smoothing for topological optimized 3D models10.1007/s00158-021-03027-6 ↗
24. (2021, June 30). nTopology. Available online: www.ntopology.com.
25. (2021, June 30). Siemens. Available online: www.plm.automation.siemens.com/global/it/products/mechanical-design/design-for-additive-manufacture.html.
26. Nieto, D., and Sánchez, D. (2021). Design for Additive Manufacturing: Tool Review and a Case Study. Appl. Sci., 11.10.3390/app11041571 ↗
27. Design for Additive Manufacturing: Trends, opportunities, considerations, and constraints10.1016/j.cirp.2016.05.004 ↗
28. Procedural function-based modelling of volumetric microstructures10.1016/j.gmod.2011.03.001 ↗
29. Technological Feasibility of Lattice Materials by Laser-Based Powder Bed Fusion of A357.010.1089/3dp.2019.0119 ↗
30. Geometric modeling of lattice structures for additive manufacturing10.1108/RPJ-07-2016-0122 ↗
31. 3D Model Representation and Data Exchange for Additive Manufacturing10.1007/978-3-030-12346-8_40 ↗
32. Design of conformal lattice structures using the volumetric distance field based on parametric solid models10.1108/RPJ-04-2019-0114 ↗
33. Nguyen, J., Park, S.I., Rosen, D.W., Folgar, L., and Williams, J. (2012, January 6–8). Conformal lattice structure design and fabrication. Proceedings of the 23rd Annual International Solid Freeform Fabrication Symposium—An Additive Manufacturing Conference SFF, Austin, TX, USA.
34. Digital design and nonlinear simulation for additive manufacturing of soft lattice structures
35. The Design Process of Additively Manufactured Mesoscale Lattice Structures: A Review10.1115/1.4040131 ↗
36. Free-form deformation of solid geometric models10.1145/15922.15903 ↗
37. Extended free-form deformation: A sculpturing tool for 3D geometric modeling
38. NURBS-based free-form deformations
39. Proch, J. (February, January 31). Free Form Deformation Methods—The Theory and Practice. Proceedings of the 16th Conference on Applied Mathematics-APLIMAT 2017, Bratislava, Slovak republic.
40. Proxy-driven free-form deformation by topology-adjustable control lattice10.1016/j.cag.2020.05.013 ↗
41. Asymptotic Homogenization of Composite Materials and Structures10.1115/1.3090830 ↗
42. Homogenization driven design of lightweight structures for additive manufacturing10.1007/s12008-019-00543-0 ↗
43. Mechanical behavior of regular open-cell porous biomaterials made of diamond lattice unit cells10.1016/j.jmbbm.2014.02.003 ↗
44. Elastic modulus and Poisson’s ratio determination of micro-lattice cellular structures by analytical, numerical and homogenisation methods10.1177/1099636212444285 ↗
45. A systematic review of voxelization method in additive manufacturing10.1051/meca/2019058 ↗
46. The interpretation of the shear locking in beam elements10.1016/0045-7949(90)90106-C ↗
47. Bacciaglia, A., Ceruti, A., and Liverani, A. (2021). Structural Analysis of Voxel-Based Lattices Using 1D Approach. 3D Print. Addit. Manuf.10.1089/3dp.2020.0178 ↗
48. Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling10.1016/j.ijmecsci.2014.08.009 ↗
49. Mechanical properties of open-cell metallic biomaterials manufactured using additive manufacturing10.1016/j.matdes.2013.01.071 ↗
50. Microscopic full-field three-dimensional strain measurement during the mechanical testing of additively manufactured porous biomaterials10.1016/j.jmbbm.2017.01.010 ↗
51. Numerical and experimental investigation of the joint stiffness in lattice structures fabricated by additive manufacturing10.1016/j.ijmecsci.2018.09.014 ↗
52. Design and optimization of nonuniform cellular structures10.1177/0954406217704677 ↗
53. Numerical and experimental assessment of the mechanical properties of 3D printed 18-Ni300 steel trabecular structures produced by Selective Laser Melting—A lean design approach10.1080/17452759.2019.1565596 ↗
54. Optimization Approaches in Design for Additive Manufacturing10.1017/dsi.2019.85 ↗
55. Rosso, S., Uriati, F., Grigolato, L., Meneghello, R., Concheri, G., and Savio, G. (2021). An Optimization Workflow in Design for Additive Manufacturing. Appl. Sci., 11.10.3390/app11062572 ↗
56. Savio, G., Gaggi, F., Meneghello, R., and Concheri, G. (2015, January 27–30). Design method and taxonomy of optimized regular cellular structures for additive manufacturing technologies. Proceedings of the 20th International Conference on Engineering Design (ICED 15), Milan, Italy. Available online: https://www.designsociety.org/publication/37788/design_method_and_taxonomy_of_optimized_regular_cellular_structures_for_additive_manufacturing_technologies.
57. Linking Structure and Parametric Geometry
58. BSI (2021, November 29). Bs en 1993-1-1: 2005: Eurocode 3. design of steel structures. general rules and rules for buildings, European Committee for Standardization, Brussel, BE, 2005. Available online: https://www.phd.eng.br/wp-content/uploads/2015/12/en.1993.1.1.2005.pdf.
59. ISO/ASTM 52900:2015 (2015). Additive Manufacturing-General Principles-Terminology, ASTM American Society for Testing and Materials.
60. Review of selective laser melting: Materials and applications10.1063/1.4935926 ↗
61. Metal Additive Manufacturing: A Review10.1007/s11665-014-0958-z ↗
62. Wohlers, I., Campbell, O., Diegel, J., and Kowen, T. (2019). Caffrey, Wohlers Report 2019, Wohlers Associates, Inc.10.1515/juru-2019-0095 ↗
63. (2021, November 29). Renishaw, AlSi10Mg-0403 Powder for Additive Manufacturing. Available online: www.renishaw.it/it/schede-tecniche-produzione-additiva--17862.
64. Quantifying accuracy of a concept laser metal additive machine through the NIST test artifact10.1108/RPJ-01-2018-0029 ↗
65. Mäenpää, J. (2018). Algorithm-Aided Structural Engineering of Steel-Framed Warehouse. [Master’s Thesis, Tampere University of Technology].
66. Timoshenko Beam-Bending Solutions in Terms of Euler-Bernoulli Solutions10.1061/(ASCE)0733-9399(1995)121:6(763) ↗
67. Buckling and free vibration analyses of pultruded GFRP laminated composites: Experimental, numerical and analytical investigations10.1016/j.compstruct.2020.112806 ↗
68. Free vibration of cross-ply laminated beams with arbitrary boundary conditions10.1016/0020-7225(94)90093-0 ↗
69. Experimental, analytical and numerical investigation of pultruded GFRP composite beams infilled with hybrid FRP reinforced concrete10.1016/j.engstruct.2021.112790 ↗
70. Boundary Layer Solutions Induced by Displacement Boundary Conditions of Shear Deformable Beams and Accuracy Study of Several Higher-Order Beam Theories10.1061/(ASCE)EM.1943-7889.0000440 ↗
71. Optimization of flexure stiffness of FGM beams via artificial neural networks by mixed FEM
72. Free vibration analysis of carbon nanotube RC nanobeams with variational approaches
73. ANSYS (2021, June 30). ANSYS Help. Available online: https://ansyshelp.ansys.com/account/secured?returnurl=/Views/Secured/corp/v190/wb_sim/ds_Beam_Tool.html?q=beam tool.
74. Preisinger, C. (2021, June 30). Karamba3D Manual. Available online: https://manual.karamba3d.com/3-in-depth-component-reference/3.6-results/3.6.6-utilization-of-elements.
75. Mechanical behavior of TPMS-based scaffolds: A comparison between minimal surfaces and their lattice structures, SN
76. Savio, G., Meneghello, R., and Concheri, G. (2017). Optimization of lattice structures for additive manufacturing technologies, Advances on Mechanics, Design Engineering and Manufacturing. Lect. Notes Mech. Eng., 213–222.10.1007/978-3-319-45781-9_22 ↗
77. Zienkiewicz, O.C., Taylor, R.L., and Zhu, J.Z. (2013). The Finite Element Method: Its Basics and Foundamentals, Butterworth Heinemann. [7th ed.].
78. Effect of Slenderness Ratio on Euler Critical Load for Elastic Columns with Effect of Slenderness Ratio on Euler Critical Load for Elastic Columns with ANSYS
79. Additively Manufactured Open-Cell Porous Biomaterials Made from Six Different Space-Filling Unit Cells: The Mechanical and Morphological Properties10.3390/ma8041871 ↗
80. Multiscale modelling of soft lattice metamaterials: Micromechanical nonlinear buckling analysis, experimental verification, and macroscale constitutive behaviour10.1016/j.ijmecsci.2020.105956 ↗
81. Advanced lightweight 316L stainless steel cellular lattice structures fabricated via selective laser melting10.1016/j.matdes.2013.10.027 ↗
82. Mechanical and morphological properties of additively manufactured SS316L and Ti6Al4V micro-struts as a function of build angle
83. Rosso, S., Meneghello, R., Concheri, G., and Savio, G. (2020). Scale and Shape Effects on the Fatigue Behaviour of Additively Manufactured SS316L Structures: A Preliminary Study. In Lecure notes in Mechanical Engineering. Design Tools and Methods in Industrial Engineering. Proceedings of the International Conference on Design Tools and Methods in Industrial Engineering, ADM 2019, 9–10 September 2019, Modena, Italy. Lect. Notes Mech. Eng., 879–890.10.1007/978-3-030-31154-4_75 ↗