Abstract

Architected cellular materials and structures provide the ability to tailor mechanical and functional properties based on design topological aspects. With the progressive advancement of additive manufacturing techniques, challenges and difficulties related to fabricating complex geometries are substantially reduced. Among different architected cellular materials, two types of closed-walls cellular materials, plate-lattices and triply periodic minimal surface (TPMS)–based lattices, provide outstanding mechanical properties. Plate-lattices are well-known for high stiffness, while TPMS lattices provide higher energy absorption capabilities. Herein, the mechanical behavior of the most two promising designs of both families is investigated experimentally and using finite-element analysis (FEA), namely sheet-based diamond TPMS and simple cubic–face-centered cubic–body-centered cubic (SC-FCC-BCC) plate-lattice. Fused deposition modeling (FDM) technology is utilized to fabricate the structures with acrylonitrile butadiene styrene (ABS) at several combinations of relative densities and unit cell sizes. Under quasi-static loading, diamond structures showed higher strength and energy absorption capabilities at various relative densities compared to plate-lattices. Based on experimental results, diamond is found to be 52% stiffer than the plate-lattice at low relative densities. These variations are diminished as relative density increased. ANOVA results, provided as main effects plots, show a significant dependence of mostly all mechanical properties on the three-dimensional (3D) topological design of the samples. Both structures presented outstanding mechanical energy absorption ability, suggesting their utilization in impact loading applications.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This publication is based on work supported by Khalifa University (KU) under Award No. RCII-2019-003.

References

Afshar, M., A. P. Anaraki, H. Montazerian, and J. Kadkhodapour. 2016. “Additive manufacturing and mechanical characterization of graded porosity scaffolds designed based on triply periodic minimal surface architectures.” J. Mech. Behav. Biomed. Mater. 62 (Sep): 481–494. https://doi.org/10.1016/j.jmbbm.2016.05.027.
Alagha, A. N., V. Nguyen, and W. Zaki. 2023. “Effective phase transformation behavior of NiTi triply periodic minimal surface architectures.” J. Intell. Mater. Syst. Struct. 34 (6): 672–695. https://doi.org/10.1177/1045389X221115704.
Al-Ketan, O., and R. K. Abu Al-Rub. 2019. “Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices.” Adv. Eng. Mater. 21 (10): 1900524. https://doi.org/10.1002/adem.201900524.
Al-Ketan, O., and R. K. Abu Al-Rub. 2021. “MSLattice: A free software for generating uniform and graded lattices based on triply periodic minimal surfaces.” Mater. Des. Process. Commun. 3 (6): e205. https://doi.org/10.1002/mdp2.205.
Al-Ketan, O., R. K. Abu Al-Rub, and R. Rowshan. 2018a. “The effect of architecture on the mechanical properties of cellular structures based on the IWP minimal surface.” J. Mater. Res. 33 (3): 343–359. https://doi.org/10.1557/jmr.2018.1.
Al-Ketan, O., D. W. Lee, R. Rowshan, and R. K. Abu Al-Rub. 2020. “Functionally graded and multi-morphology sheet TPMS lattices: Design, manufacturing, and mechanical properties.” J. Mech. Behav. Biomed. Mater. 102 (Feb): 103520. https://doi.org/10.1016/j.jmbbm.2019.103520.
Al-Ketan, O., R. Rowshan, and R. K. Abu Al-Rub. 2018b. “Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials.” Addit. Manuf. 19 (Jan): 167–183. https://doi.org/10.1016/j.addma.2017.12.006.
AlMahri, S., R. Santiago, D. W. Lee, H. Ramos, H. Alabdouli, M. Alteneiji, Z. Guan, W. Cantwell, and M. Alves. 2021. “Evaluation of the dynamic response of triply periodic minimal surfaces subjected to high strain-rate compression.” Addit. Manuf. 46 (Oct): 2214–8604. https://doi.org/10.1016/j.addma.2021.102220.
Alomar, Z., and F. Concli. 2020. “A review of the selective laser melting lattice structures and their numerical models.” Adv. Eng. Mater. 22 (12): 2000611. https://doi.org/10.1002/adem.202000611.
Andersen, M. N., F. Wang, and O. Sigmund. 2021. “On the competition for ultimately stiff and strong architected materials.” Mater. Des. 198 (Jan): 109356. https://doi.org/10.1016/j.matdes.2020.109356.
Andrew, J. J., J. Schneider, J. Ubaid, R. Velmurugan, N. K. Gupta, and S. Kumar. 2021. “Energy absorption characteristics of additively manufactured plate-lattices under low- velocity impact loading.” Int. J. Impact Eng. 149 (Mar): 103768. https://doi.org/10.1016/j.ijimpeng.2020.103768.
ASTM. 2015. Standard test method for compressive properties of rigid plastics. ASTM D695-15. West Conshohocken, PA: ASTM.
Banhart, J. 2001. “Manufacture, characterisation and application of cellular metals and metal foams.” Prog. Mater. Sci. 46 (6): 559–632. https://doi.org/10.1016/S0079-6425(00)00002-5.
Berger, J. B., H. N. G. Wadley, and R. M. McMeeking. 2017. “Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness.” Nature 543 (7646): 533–537. https://doi.org/10.1038/nature21075.
Cai, J., Y. Ma, and Z. Deng. 2022. “On the effective elastic modulus of the ribbed structure based on Schwarz Primitive triply periodic minimal surface.” Thin-Walled Struct. 170 (Jan): 108642. https://doi.org/10.1016/j.tws.2021.108642.
Ding, R., J. Yao, B. Du, K. Li, M. Pan, L. Zhao, and Y. Guo. 2021. “Flexural properties of ARCH lattice structures manufactured by selective laser melting.” Adv. Eng. Mater. 23 (7): 2001440. https://doi.org/10.1002/adem.202001440.
Duan, S., W. Wen, and D. Fang. 2020. “Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: Simulations & experiments.” Acta Mater. 199 (Oct): 397–412. https://doi.org/10.1016/j.actamat.2020.08.063.
Elmadih, W., W. P. Syam, I. Maskery, D. Chronopoulos, and R. Leach. 2019. “Mechanical vibration bandgaps in surface-based lattices.” Additive Manuf. 25 (Jan): 421–429. https://doi.org/10.1016/j.addma.2018.11.011.
Fan, X., Q. Tang, Q. Feng, S. Ma, J. Song, M. Jin, F. Guo, and P. Jin. 2021. “Design, mechanical properties and energy absorption capability of graded-thickness triply periodic minimal surface structures fabricated by selective laser melting.” Int. J. Mech. Sci. 204 (Aug): 106586. https://doi.org/10.1016/j.ijmecsci.2021.106586.
Gibson, L. J., and M. F. Ashby. 2014. Cellular solids: Structure and properties. 2nd ed. Cambridge, UK: Cambridge University Press.
Goh, G. D., S. L. Sing, and W. Y. Yeong. 2021. “A review on machine learning in 3D printing: Applications, potential, and challenges.” Artif. Intell. Rev. 54 (1): 63–94. https://doi.org/10.1007/s10462-020-09876-9.
Gordeev, E. G., A. S. Galushko, and V. P. Ananikov. 2018. “Improvement of quality of 3D printed objects by elimination of microscopic structural defects in fused deposition modeling.” PLoS One 13 (6): e0198370. https://doi.org/10.1371/journal.pone.0198370.
Guo, Y., M. I. N. Rosa, M. Gupta, B. E. Dolan, B. Fields, L. Valdevit, and M. Ruzzene. 2022. “Minimal surface-based materials for topological elastic wave guiding.” Adv. Funct. Mater. 32 (30): 1–10. https://doi.org/10.1002/adfm.202204122.
Han, S. C., J. M. Choi, G. Liu, and K. Kang. 2017. “A microscopic shell structure with schwarz’s D-Surface.” Sci. Rep. 7 (1): 13405. https://doi.org/10.1038/s41598-017-13618-3.
Han, S. C., and K. Kang. 2019. “Another stretching-dominated micro-architectured material, shellular.” Mater. Today 31 (Dec): 31–38. https://doi.org/10.1016/j.mattod.2019.05.018.
Han, S. C., J. W. Lee, and K. Kang. 2015. “A new type of low density material: Shellular.” Adv. Mater. 27 (37): 5506–5511. https://doi.org/10.1002/adma.201501546.
Joshi, S., K. Rawat, C. Karunakaran, V. Rajamohan, A. T. Mathew, K. Koziol, V. K. Thakur, and A. S. S. Balan. 2019. “4D printing of materials for the future: Opportunities and challenges.” Appl. Mater. Today 18 (Mar): 100490. https://doi.org/10.1016/j.apmt.2019.100490.
Khan, S. Z., S. H. Masood, E. Ibrahim, and Z. Ahmad. 2019. “Compressive behaviour of Neovius Triply Periodic Minimal Surface cellular structure manufactured by fused deposition modeling.” Virtual Phys. Prototyping 14 (4): 360–370. https://doi.org/10.1080/17452759.2019.1615750.
Li, Q. M., I. Magkiriadis, and J. J. Harrigan. 2006. “Compressive strain at the onset of densification of cellular solids.” J. Cell. Plast. 42 (5): 371–392. https://doi.org/10.1177/0021955X06063519.
Liu, Y. 2021. “Mechanical properties of a new type of plate–lattice structures.” Int. J. Mech. Sci. 192 (Feb): 106141. https://doi.org/10.1016/j.ijmecsci.2020.106141.
Maskery, I., L. Sturm, A. O. Aremu, A. Panesar, C. B. Williams, C. J. Tuck, R. D. Wildman, I. A. Ashcroft, and R. J. M. Hague. 2018. “Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing.” Polymer 152 (Sep): 62–71. https://doi.org/10.1016/j.polymer.2017.11.049.
Naghieh, S., M. R. Karamooz Ravari, M. Badrossamay, E. Foroozmehr, and M. Kadkhodaei. 2016. “Numerical investigation of the mechanical properties of the additive manufactured bone scaffolds fabricated by FDM: The effect of layer penetration and post-heating.” J. Mech. Behav. Biomed. Mater. 59 (Jun): 241–250. https://doi.org/10.1016/j.jmbbm.2016.01.031.
Nasrullah, A. I. H., S. P. Santosa, and T. Dirgantara. 2020. “Design and optimization of crashworthy components based on lattice structure configuration.” Structures 26 (Aug): 969–981. https://doi.org/10.1016/j.istruc.2020.05.001.
Novak, N., O. Al-Ketan, M. Borovinšek, L. Krstulović-Opara, R. Rowshan, M. Vesenjak, and Z. Ren. 2021. “Development of novel hybrid TPMS cellular lattices and their mechanical characterization.” J. Mater. Res. Technol. 15 (Nov): 1318–1329. https://doi.org/10.1016/j.jmrt.2021.08.092.
Ozdemir, M., U. Simsek, E. Kuser, C. E. Gayir, A. Celik, and P. Sendur. 2023. “Experimental and numerical modal characterization for additively manufactured triply periodic minimal surface lattice structures: Comparison between free-size and homogenization-based optimization methods.” Adv. Eng. Mater. 25 (11): 2201811. https://doi.org/10.1002/adem.202201811.
Poltue, T., C. Karuna, S. Khrueaduangkham, S. Seehanam, and P. Promoppatum. 2021. “Design exploration of 3D-printed triply periodic minimal surface scaffolds for bone implants.” Int. J. Mech. Sci. 211 (Dec): 106762. https://doi.org/10.1016/j.ijmecsci.2021.106762.
Sajadi, S. M., P. S. Owuor, S. Schara, C. F. Woellner, V. Rodrigues, R. Vajtai, J. Lou, D. S. Galvão, C. S. Tiwary, and P. M. Ajayan. 2018. “Multiscale geometric design principles applied to 3D printed schwarzites.” Adv. Mater. 30 (1): 1704820. https://doi.org/10.1002/adma.201704820.
Shen, M., W. Qin, B. Xing, W. Zhao, S. Gao, Y. Sun, T. Jiao, and Z. Zhao. 2021. “Mechanical properties of 3D printed ceramic cellular materials with triply periodic minimal surface architectures.” J. Eur. Ceram. Soc. 41 (2): 1481–1489. https://doi.org/10.1016/j.jeurceramsoc.2020.09.062.
Shi, J., H. Mofatteh, A. Mirabolghasemi, G. Desharnais, and A. Akbarzadeh. 2021. “Programmable multistable perforated shellular.” Adv. Mater. 33 (42): 2102423. https://doi.org/10.1002/adma.202102423.
Shi, X., W. Liao, P. Li, C. Zhang, T. Liu, C. Wang, and J. Wu. 2020. “Comparison of compression performance and energy absorption of lattice structures fabricated by selective laser melting.” Adv. Eng. Mater. 22 (11): 2000453. https://doi.org/10.1002/adem.202000453.
Sigmund, O., N. Aage, and E. Andreassen. 2016. “On the (non-)optimality of Michell structures.” Struct. Multidiscip. Optim. 54 (2): 361–373. https://doi.org/10.1007/s00158-016-1420-7.
Tancogne-Dejean, T., M. Diamantopoulou, M. B. Gorji, C. Bonatti, and D. Mohr. 2018. “3D plate-lattices: An emerging class of low-density metamaterial exhibiting optimal isotropic stiffness.” Adv. Mater. 30 (45): 1803334. https://doi.org/10.1002/adma.201803334.
Tancogne-Dejean, T., X. Li, M. Diamantopoulou, C. C. Roth, and D. Mohr. 2019. “High strain rate response of additively-manufactured plate-lattices: Experiments and modeling.” J. Dyn. Behav. Mater. 5 (3): 361–375. https://doi.org/10.1007/s40870-019-00219-6.
Tao, Y., F. Kong, Z. Li, J. Zhang, X. Zhao, Q. Yin, D. Xing, and P. Li. 2021. “A review on voids of 3D printed parts by fused filament fabrication.” J. Mater. Res. Technol. 15 (Nov): 4860–4879. https://doi.org/10.1016/j.jmrt.2021.10.108.
Torres-Sanchez, C., J. M. Borgman, B. Sargeant, H. Bell, E. Alabort, C. Lindsay, and P. P. Conway. 2022. “Comparison of selective laser melted commercially pure titanium sheet-based triply periodic minimal surfaces and trabecular-like strut-based scaffolds for tissue engineering.” Adv. Eng. Mater. 24 (1): 2100527. https://doi.org/10.1002/adem.202100527.
Wang, H., D. Gu, K. Lin, L. Xi, and L. Yuan. 2019. “Compressive properties of bio-inspired reticulated shell structures processed by selective laser melting.” Adv. Eng. Mater. 21 (4): 1801168. https://doi.org/10.1002/adem.201801168.
Xu, Y., T. Li, X. Cao, Y. Tan, and P. Luo. 2021. “Compressive properties of 316L stainless steel topology-optimized lattice structures fabricated by selective laser melting.” Adv. Eng. Mater. 23 (3): 2000957. https://doi.org/10.1002/adem.202000957.
Xue, R., X. Cui, P. Zhang, K. Liu, Y. Li, W. Wu, and H. Liao. 2020. “Mechanical design and energy absorption performances of novel dual scale hybrid plate-lattice mechanical metamaterials.” Extreme Mech. Lett. 40 (Oct): 100918. https://doi.org/10.1016/j.eml.2020.100918.
Yang, C., P. Xu, S. Xie, and S. Yao. 2020. “Mechanical performances of four lattice materials guided by topology optimization.” Scr. Mater. 178 (Mar): 339–345. https://doi.org/10.1016/j.scriptamat.2019.11.060.
Yavas, D., Q. Liu, Z. Zhang, and D. Wu. 2022. “Design and fabrication of architected multi-material lattices with tunable stiffness, strength, and energy absorption.” Mater. Des. 217 (May): 110613. https://doi.org/10.1016/j.matdes.2022.110613.
Yin, H., Z. Liu, J. Dai, G. Wen, and C. Zhang. 2020. “Crushing behavior and optimization of sheet-based 3D periodic cellular structures.” Composites, Part B 182 (Feb): 107565. https://doi.org/10.1016/j.compositesb.2019.107565.
Zhang, C., Z. Jiang, L. Zhao, W. Guo, Z. Jiang, X. Li, and G. Chen. 2021. “Mechanical characteristics and deformation mechanism of functionally graded triply periodic minimal surface structures fabricated using stereolithography.” Int. J. Mech. Sci. 208 (Oct): 106679. https://doi.org/10.1016/j.ijmecsci.2021.106679.
Zhang, C., H. Zheng, L. Yang, Y. Li, J. Jin, W. Cao, C. Yan, and Y. Shi. 2022. “Mechanical responses of sheet-based gyroid-type triply periodic minimal surface lattice structures fabricated using selective laser melting.” Mater. Des. 214 (Feb): 110407. https://doi.org/10.1016/j.matdes.2022.110407.
Zhang, J., and J. Yanagimoto. 2021. “Topology optimization of microlattice dome with enhanced stiffness and energy absorption for additive manufacturing.” Compos. Struct. 255 (Jan): 112889. https://doi.org/10.1016/j.compstruct.2020.112889.
Zheng, Q., and H. Fan. 2021. “Equivalent continuum method of plane-stress dominated plate-lattice materials.” Thin-Walled Struct. 164 (Jun): 107865. https://doi.org/10.1016/j.tws.2021.107865.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 150Issue 12December 2024

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Received: Aug 31, 2023
Accepted: Jul 10, 2024
Published online: Sep 24, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 24, 2025

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Ali N. Alagha [email protected]
Member, Advanced Digital and Additive Manufacturing Center, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates; Research Associate, Dept. of Mechanical and Nuclear Engineering, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates. Email: [email protected]
Jamal Y. Sheikh-Ahmad, Ph.D. [email protected]
Member, Advanced Digital and Additive Manufacturing Center, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates; Professor, Dept. of Mechanical and Nuclear Engineering, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates; Dept. of Mechanical Engineering, Western New England Univ., P.O. Box 01119-2684, Springfield, MA 01119. Email: [email protected]
Member, Advanced Digital and Additive Manufacturing Center, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates. ORCID: https://orcid.org/0000-0002-5045-9827. Email: [email protected]
Associate Professor, Dept. of Mechanical Engineering, AlHussein Technical Univ., Amman 11831, Jordan. ORCID: https://orcid.org/0000-0002-2908-0329. Email: [email protected]
Assistant Professor, Dept. of Aerospace Engineering, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates. ORCID: https://orcid.org/0000-0001-5582-2704. Email: [email protected]
Rashid K. Abu Al-Rub, Ph.D., M.ASCE https://orcid.org/0000-0003-1255-6949 [email protected]
Director, Advanced Digital and Additive Manufacturing Center, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates; Professor, Dept. of Mechanical and Nuclear Engineering, Khalifa Univ. of Science and Technology, Abu Dhabi, P.O. Box 127788, United Arab Emirates (corresponding author). ORCID: https://orcid.org/0000-0003-1255-6949. Email: [email protected]; [email protected]

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