Developing a new functionally graded lattice structure based on an elliptic unit cell for additive manufacturing and investigation of its properties

Document Type : Research Article

Authors

Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

Abstract

The use of additive manufacturing provides the opportunity to create complex geometries at a low cost. This paper introduces a novel nature-inspired additive manufactured graded lattice structure based on an elliptic unit cell. Altering the unit cells' dimensions by the dimension ratios in each repetition results in a graded layer. Linear tessellated layers provide a highly porous, graded structure whose specific properties can be customized at any spatial location. Geometric features were calculated with high accuracy using analytical analysis. Abaqus simulations were utilized to determine the mechanical properties of unit cells, layers, and lattices. A compression test was conducted on a polymer specimen made by digital light processing (DLP) to validate the results. For a conformal model, the elastic modulus along the latitude axis is five times bigger than the value along the longitude axis. An 8.8-fold increase in the elastic modulus is achievable by decreasing the longitude ratio from 1 to 0.75. A reduction of 0.3% in porosity by setting the longitude ratio to 0.75 and a decrease of 2% in porosity by lessening the latitude ratio to 0.75 results in increases of 2.6 and 2.77 folds in the elastic modulus along two directions, respectively. It is possible to tailor geometrical and mechanical properties to meet any design preference by selecting the proper dimension ratios, which can be utilized for medical implant design.

Keywords

Main Subjects


[1] A. Nazir, K. Mekonen, A. Kumar, J.-Y. Jeng, A state-of-the-art review on types, design, optimization, and additive manufacturing of cellular structures, The International Journal of Advanced Manufacturing Technology, 104 (2019).
[2] M. Benedetti, A. du Plessis, R.O. Ritchie, M. Dallago, S.M.J. Razavi, F. Berto, Architected cellular materials: A review on their mechanical properties towards fatigue-tolerant design and fabrication, Materials Science and Engineering: R: Reports, 144 (2021) 100606.
[3] T. Schaedler, W. Carter, Architected Cellular Materials, Annual Review of Materials Research, 46 (2016).
[4] A. Dara, M.V.A.R. Bahubalendruni, A. Johnney Mertens, G. Balamurali, Numerical and experimental investigations of novel nature inspired open lattice cellular structures for enhanced stiffness and specific energy absorption, Materials Today Communications, 31 (2022) 103286.
[5] F.S.L. Bobbert, K. Lietaert, A.A. Eftekhari, B. Pouran, S.M. Ahmadi, H. Weinans, A.A. Zadpoor, Additively manufactured metallic porous biomaterials based on minimal surfaces: A unique combination of topological, mechanical, and mass transport properties, Acta Biomaterialia, 53 (2017) 572-584.
[6] A. Zargarian, M. Esfahanian, J. Kadkhodapour, S. Ziaei-Rad, Effect of solid distribution on elastic properties of open-cell cellular solids using numerical and experimental methods, Journal of the Mechanical Behavior of Biomedical Materials, 37 (2014) 264-273.
[7] A. Faramarzian Haghighi, A. Haerian Ardakani, M. Kafaee Razavi, A. Moloodi, Simulation of Mechanical Behavior and Construction of Regular PLA Scaffolds, Modares Mechanical Engineering, 19(8) (2019) 1953-1958. (in Persian)
[8] I. Rafati, A. Abouei Mehrizi, Evaluation of Young's Modulus and Poisson's Ratios of Diamond Porous Structure for Use in Orthopedic Implant by Finite Element Method, mdrsjrns, 19(5) (2019) 1135-1143. (in Persian)
[9] Y. Du, H. Liang, D. Xie, N. Mao, J. Zhao, Z. Tian, C. Wang, L. Shen, Finite element analysis of mechanical behavior, permeability of irregular porous scaffolds and lattice-based porous scaffolds, Materials Research Express, 6(10) (2019) 105407.
[10] X. Peng, Z. Dai, J. Liu, Y. Wang, Design and Simulation of Sandwich Structure of Exoskeleton Backplate Based on Biological Inspiration, Journal of Physics: Conference Series, 1885 (2021) 052066.
[11] P. Rawat, D. Zhu, M.Z. Rahman, F. Barthelat, Structural and mechanical properties of fish scales for the bio-inspired design of flexible body armors: A review, Acta Biomaterialia, 121 (2021) 41-67.
[12] U.M. Dilberoglu, B. Gharehpapagh, U. Yaman, M. Dolen, The Role of Additive Manufacturing in the Era of Industry 4.0, Procedia Manufacturing, 11 (2017) 545-554.
[13] A.A. Zadpoor, Additively manufactured porous metallic biomaterials, Journal of Materials Chemistry B, 7(26) (2019) 4088-4117.
[14] A. Bakhshian Nik, B. Vahidi, The Effect of Bone Tissue Engineering Scaffold Architecture on Mechanical Modulation of Cell Layer Behavior, Amirkabir Journal of Mechanical Engineering, 51(3) (2019) 11-20. (in Persian)
[15] A. Jalali Jahromi, M. Mirhosseini, H. Molla Hoseini, H. Nikukar, A Review on Commonly Used Scaffolds in Tissue Engineering for Bone Tissue Regeneration, SSU_Journals, 28(1) (2020) 2235-2254. (in Persian)
[16] S. Naghieh, M.R. Karamooz Ravari, M. Badrossamay, E. Foroozmehr, M. Kadkhodaei, Finite element analysis for predicting the mechanical properties of bone scaffolds fabricated by fused deposition modeling (FDM), Modares Mechanical Engineering, 15(13) (2016) 450-454. (in Persian)
[17] Y. Li, Z. Feng, L. Hao, L. Huang, C. Xin, Y. Wang, E. Bilotti, K. Essa, H. Zhang, Z. Li, F. Yan, T. Peijs, A Review on Functionally Graded Materials and Structures via Additive Manufacturing: From Multiā€Scale Design to Versatile Functional Properties, Advanced Materials Technologies, 5(6) (2020) 1900981.
[18] A. du Plessis, S.M.J. Razavi, M. Benedetti, S. Murchio, M. Leary, M. Watson, D. Bhate, F. Berto, Properties and applications of additively manufactured metallic cellular materials: A review, Progress in Materials Science, 125 (2022) 100918.
[19] J. Plocher, A. Panesar, Effect of density and unit cell size grading on the stiffness and energy absorption of short fibre-reinforced functionally graded lattice structures, Additive Manufacturing, 33 (2020) 101171.
[20] K.G. Mostafa, G.A. Momesso, X. Li, D.S. Nobes, A.J. Qureshi, Dual Graded Lattice Structures: Generation Framework and Mechanical Properties Characterization, Polymers, 13(9) (2021) 1528.
[21] D. Chen, S. Kitipornchai, J. Yang, Dynamic response and energy absorption of functionally graded porous structures, Materials & Design, 140 (2018) 473-487.
[22] J. Brennan-Craddock, D. Brackett, R. Wildman, R. Hague, The design of impact absorbing structures for additive manufacture, Journal of Physics: Conference Series, 382 (2012) 012042.
[23] M. Mahbod, M. Asgari, Elastic and plastic characterization of a new developed additively manufactured functionally graded porous lattice structure: Analytical and numerical models, International Journal of Mechanical Sciences, 155 (2019) 248-266.
[24] N. Mohtadifar, M. Asgari, New Additively Manufactured Cellular Lattice Structure; Theory and Experiment, Modares Mechanical Engineering, 20(7) (2020) 1895-1910. (in Persian)
[25] S. Wu, Z. Luo, Z. Li, S. Liu, L.-C. Zhang, Topological design of pentamode metamaterials with additive manufacturing, Computer Methods in Applied Mechanics and Engineering, 377 (2021) 113708.
[26] A. Ota, M. Yoshida, S. Sato, H. Hiraide, M. Matsuo-Ueda, H. Yamamoto, Immunolocalization of a Normal Wood Specific Pectin Methylesterase (CoPME) and Quantification of PME Gene Expression in Differentiating Xylem of Chamaecyparis obtusa, American Journal of Plant Sciences, 10(11) (2019) 1949-1968.
[27] S. Trueba, S. Delzon, S. Isnard, F. Lens, Similar hydraulic efficiency and safety across vesselless angiosperms and vessel-bearing species with scalariform perforation plates, Journal of Experimental Botany, 70 (2019).
[28] Y. Zheng, Q. Han, D. Li, F. Sheng, Z. Song, J. Wang, Promotion of tendon growth into implant through pore-size design of a Ti-6Al-4 V porous scaffold prepared by 3D printing, Materials & Design, 197 (2021) 109219.
[29] M.J. Cross, G.J. Roger, J. Spycher, 7 - Cementless fixation techniques and challenges in joint replacement*Note: This chapter is an updated version of Chapter 9 from the first edition of Joint replacement technology edited by P. A. Revell and published by Woodhead Publishing 2008*, in: P.A. Revell (Ed.) Joint Replacement Technology (Second Edition), Woodhead Publishing, 2014, pp. 186-211.
[30] M. Smith, Z. Guan, W.J. Cantwell, Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique, International Journal of Mechanical Sciences, 67 (2013) 28-41.