Development of strong, stiff and lightweight compression-resistant mechanical metamaterials by refilling tetrahedral wireframes

References

• Chua C, Leong Sing S, Chua CK. Characterisation of In-situ alloyed titanium-tantalum lattice structures by laser powder Bed fusion using finite element analysis. Virtual Phys Prototyp. 2023;18(1):e2138463.
   Web of Science ®Google Scholar
• Wu, Wenwang, Re Xia, Guian Qian, Zengqian Liu, Nima Razavi, Filippo Berto, and Huajian Gao. 2023. “Mechanostructures: rational mechanical design, fabrication, performance evaluation, and industrial application of advanced structures.” Prog Mater Sci 131 (January): 101021.
   Google Scholar
• Mao A, Chen J, Bu X, et al. Bamboo-Inspired structurally efficient materials with a large continuous gradient. Small. 2023: 2301144.
   Web of Science ®Google Scholar
• Zheng X, Lee H, Weisgraber TH, et al. Ultralight, ultrastiff mechanical metamaterials. Science. 2014;344(6190):1373–1377.
   PubMed Web of Science ®Google Scholar
• Chen L-Y, Liang S-X, Liu Y, et al. Additive manufacturing of metallic lattice structures: unconstrained design, accurate fabrication, fascinated performances, and challenges. Mater Sci Eng: R Rep. 2021;146(October):100648.
   Google Scholar
• Santoni S, Gugliandolo SG, Sponchioni M, et al. 3D bioprinting: current status and trends—a guide to the literature and industrial practice. Bio-Des Manuf. 2022;5(1):14–42.
   Web of Science ®Google Scholar
• Sefene EM. State-of-the-Art of selective laser melting process. J Manuf Syst. 2022;63(April):250–274.
   Google Scholar
• Sun Y, Gao Z, Zhang X, et al. 3D-Printed, Bi-Layer, biomimetic artificial periosteum for boosting bone regeneration. Bio-Des Manuf. 2022;5(3):540–555.
   Web of Science ®Google Scholar
• Ajdari A, Nayeb-Hashemi H, Vaziri A. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures. Int J Solids Struct. 2011;48(3):506–516.
   Web of Science ®Google Scholar
• Heinl P, Müller L, Körner C, et al. Cellular Ti–6Al–4 V structures with interconnected macro porosity for bone implants fabricated by selective electron beam melting. Acta Biomater. 2008;4(5):1536–1544.
   PubMed Web of Science ®Google Scholar
• Garner E, Kolken HMA, Wang CCL, et al. Compatibility in microstructural optimization for additive manufacturing. Addit Manuf. 2019;26(March):65–75.
   Google Scholar
• Ma L, Yang H. Bio-Manufacturing innovation lights up the future. Bio-Des Manuf. 2023;6(2):204–215.
   Web of Science ®Google Scholar
• Schittny R, Bückmann T, Kadic M, et al. Elastic measurements on macroscopic three-dimensional pentamode metamaterials. Appl Phys Lett. 2013;103(23):231905.
   Web of Science ®Google Scholar
• Li, Sheng, Hany Hassanin, Moataz M. Attallah, Nicholas J.E. Adkins, and Khamis Essa. 2016. “The development of TiNi-based negative poisson’s ratio structure using selective laser melting.” Acta Mater 105 (February): 75–83.
   Google Scholar
• Han, Seung Chul, Jeong Woo Lee, and Kiju Kang. 2015. “A New type of Low density material: shellular.” Adv Mater 27 (37): 5506–5511.
   PubMed Web of Science ®Google Scholar
• Schaedler TA, Jacobsen AJ, Torrents A, et al. Ultralight metallic microlattices. Science. 2011;334(6058):962–965.
   PubMed Web of Science ®Google Scholar
• Berger JB, Wadley HNG, McMeeking RM. Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness. Nature. 2017;543(7646).
   PubMed Web of Science ®Google Scholar
• Yue C, Zhao W, Li F, et al. Shape recovery properties and load-carrying capacity of a 4D printed thick-walled kirigami-inspired honeycomb structure. Bio-Des Manuf. 2023;6(2):189–203.
   Web of Science ®Google Scholar
• Yang, Xiao, Qin Yang, Yunsong Shi, Lei Yang, Siqi Wu, Chunze Yan, and Yusheng Shi. 2022. “Effect of volume fraction and unit cell size on manufacturability and compressive behaviors of Ni-Ti triply periodic minimal surface lattices.” Addit Manuf54 (June): 102737.
   Google Scholar
• Kelly CN, Francovich J, Julmi S, et al. Fatigue behavior of As-built selective laser melted titanium scaffolds with sheet-based gyroid microarchitecture for bone tissue engineering. Acta Biomater. 2019;94(August):610–626.
   PubMedGoogle Scholar
• Yin J, Qian J, Huang Y. Physics problems in Bio or bioinspired additive manufacturing. Bio-Des Manuf. 2023;6(2):99–102.
   Web of Science ®Google Scholar
• Yang Y, Song X, Li X, et al. Recent progress in biomimetic additive manufacturing technology: from materials to functional structures. Adv Mater. 2018;30(36):1706539.
   Web of Science ®Google Scholar
• Wei K, Chen H, Pei Y, et al. Planar lattices with tailorable coefficient of thermal expansion and high stiffness based on dual-material triangle unit. J Mech Phys Solids. 2016;86(January):173–191.
   Google Scholar
• Wei K, Peng Y, Qu Z, et al. A cellular metastructure incorporating coupled negative thermal expansion and negative poisson’s ratio. Int J Solids Struct. 2018;150(October):255–267.
   Google Scholar
• Han L, Che S. An overview of materials with triply periodic minimal surfaces and related geometry: from biological structures to self-assembled systems. Adv Mater. 2018;30(17):1705708.
   PubMed Web of Science ®Google Scholar
• Ashby MF, Gibson LJ. Cellular solids: structure and properties. Cambridge: Press Syndicate of the University of Cambridge; 1997.
   Google Scholar
• Mao A, Zhao N, Liang Y, et al. Mechanically efficient cellular materials inspired by cuttlebone. Adv Mater. 2021;33(15):2007348.
   Web of Science ®Google Scholar
• Al-Ketan O, Rowshan R, Al-Rub RKA. Topology-Mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials. Addit Manuf. 2018;19(January):167–183.
   Google Scholar
• Qiu N, Wan Y, Shen Y, et al. Experimental and numerical studies on mechanical properties of TPMS structures. Int J Mech Sci. 2023;July:108657.
   Google Scholar
• Chen R, Wang S, Wu Z, et al. Compressive enhancement gyroid lattice with implicit modeling implementation and modified G-A model property prediction. Mater Des. 2023;232(August):112153.
   Google Scholar
• Meza LR, Das S, Greer JR. Strong, lightweight, and recoverable three-dimensional ceramic nanolattices. Science. 2014;345(6202):1322–1326.
   PubMed Web of Science ®Google Scholar
• Guo X, Ding J, Li X, et al. Enhancement in the mechanical behaviour of a schwarz primitive periodic minimal surface lattice structure design. Int J Mech Sci. 2022;216(February):106977.
   Google Scholar
• Tan J, Li J, Ran Z, et al. Accelerated fracture healing by osteogenic Ti45Nb implants through the PI3K–Akt signaling pathway. Bio-Des Manuf. 2023;6(6):718–734.
   Web of Science ®Google Scholar
• Li Y, Ding Y, Munir K, et al. Novel β-Ti35Zr28Nb alloy scaffolds manufactured using selective laser melting for bone implant applications. Acta Biomater. 2019;87(March):273–284.
   PubMedGoogle Scholar
• Jin Y, Zou S, Pan B, et al. Biomechanical properties of cylindrical and twisted triply periodic minimal surface scaffolds fabricated by laser powder Bed fusion. Addit Manuf. 2022;56(August):102899.
   Google Scholar
• Yoo D. New paradigms in hierarchical porous scaffold design for tissue engineering. Mater Sci Eng: C. 2013;33(3):1759–1772.
   PubMed Web of Science ®Google Scholar
• Liang D, Shi C, Li W, et al. Design, flow characteristics and performance evaluation of bioinspired heat exchangers based on triply periodic minimal surfaces. Int J Heat Mass Transfer. 2023;201(February):123620.
   Google Scholar
• Wang X, Gao T, Shi C, et al. Effect of geometric configuration on compression behavior of 3D-printed polymeric triply periodic minimal surface sheets. Mech Adv Mater Struct. 2023;30(11):2304–2314.
   Web of Science ®Google Scholar
• Wang, Zhonggang, Xinxin Wang, Tianyu Gao, and Chong Shi. 2021. “Mechanical behavior and deformation mechanism of triply periodic minimal surface sheet under compressive loading.” Mech Adv Mater Struct 28 (19). 2057–2069.
   Web of Science ®Google Scholar
• Gao T, Liu K, Wang X, et al. Multi-Level mechanism of biomimetic TPMS hybridizations with tailorable global homogeneity and heterogeneity. Extreme Mech Lett. 2024;68(May):102136.
   Google Scholar
• Plocher J, Panesar A. Mechanical performance of additively manufactured fiber-reinforced functionally graded lattices. JOM. 2020;72(3):1292–1298.
   Web of Science ®Google Scholar
• Al-Ketan, Oraib, Dong-Wook Lee, Reza Rowshan, and Rashid K. Abu Al-Rub. 2020. “Functionally graded and multi-morphology sheet TPMS lattices: design, manufacturing, and mechanical properties.” J Mech Behav Biomed Mater 102 (February): 103520.
   PubMedGoogle Scholar
• Ejeh, Chukwugozie J., Imad Barsoum, Aliaa M. Abou-Ali, and Rashid K. Abu Al-Rub. 2023. “Combining multiple lattice-topology functional grading strategies for enhancing the dynamic compressive behavior of TPMS-based metamaterials.” J Mater Res Technol 27 (November): 6076–6093.
   Google Scholar
• Tancogne-Dejean T, Diamantopoulou M, Gorji MB, et al. 3D Plate-Lattices: An emerging class of Low-density metamaterial exhibiting optimal isotropic stiffness. Adv Mater. 2018;30(45):1803334.
   Web of Science ®Google Scholar
• Yang T, Jia Z, Chen H, et al. Mechanical design of the highly porous cuttlebone: A bioceramic hard buoyancy tank for cuttlefish. Proc Natl Acad Sci USA. 2020;117(38):23450–23459.
   PubMed Web of Science ®Google Scholar
• Deshpande VS, Fleck NA, Ashby MF. Effective properties of the octet-truss lattice material. J Mech Phys Solids. 2001;49(8):1747–1769.
   Web of Science ®Google Scholar
• Warren WE, Kraynik AM. Linear elastic behavior of a Low-density kelvin foam with open cells. J Appl Mech. 1997;64(4):787–794.
   Web of Science ®Google Scholar
• Abueidda DW, Elhebeary M, (Andrew) Shiang C-S, et al. Mechanical properties of 3D printed polymeric gyroid cellular structures: experimental and finite element study. Mater Des. 2019;165(March):107597.
   Google Scholar
• Lee D-W, Khan KA, Al-Rub RKA. Stiffness and yield strength of architectured foams based on the schwarz primitive triply periodic minimal surface. Int J Plast. 2017;95(August):1–20.
   Google Scholar
• Taleff, Eric M., and Roy R. Craig. 2020. Mechanics of materials, 4th Edition. Wiley Press.
   Google Scholar
• Nazir, Aamer, Kalayu Mekonen Abate, Ajeet Kumar, and Jeng-Ywan Jeng. 2019. “A state-of-the-Art review on types, design, optimization, and additive manufacturing of cellular structures.” Int J Adv Manuf Tech 104 (9): 3489–3510.
   Web of Science ®Google Scholar
• Manière C, Kerbart G, Harnois C, et al. Modeling sintering anisotropy in ceramic stereolithography of silica. Acta Mater. 2020;182(January):163–171.
   Google Scholar
• Aravind Shanmugasundaram, Sunil, Jafar Razmi, Md Jamal Mian, and Leila Ladani. 2020. “Mechanical anisotropy and surface roughness in additively manufactured parts fabricated by stereolithography (SLA) using statistical analysis.” Materials (Basel) 13 (11). 2496.
   PubMed Web of Science ®Google Scholar
• Khennane, Amar. 2013. Introduction to finite element analysis using MATLAB® and abaqus. CRC Press.
   Google Scholar
• Milton GW, Cherkaev AV. Which elasticity tensors Are realizable? J Eng Mater Technol. 1995;117(4):483–493.
   Web of Science ®Google Scholar
• Kadic M, Bückmann T, Stenger N, et al. On the practicability of pentamode mechanical metamaterials. Appl Phys Lett. 2012;100(19):191901.
   Web of Science ®Google Scholar
• A. Zadpoor A. Mechanical meta-materials. Mater Horiz. 2016;3(5):371–381.
   Web of Science ®Google Scholar
• Deshpande VS, Ashby MF, Fleck NA. Foam topology: bending versus stretching dominated architectures. Acta Mater. 2001;49(6):1035–1040.
   Web of Science ®Google Scholar
• Maconachie T, Leary M, Lozanovski B, et al. SLM lattice structures: properties, performance, applications and challenges. Mater Des. 2019;183(December):108137.
   Google Scholar
• Almesmari A, Barsoum I, Al-Rub RKA. Modelling, optimization, and testing of novel cuboidal spherical plate lattice structures. Virtual Phys Prototyp. 2024;19(1):e2308514.
   Web of Science ®Google Scholar
• Almesmari A, Baghous N, Ejeh CJ, et al. Review of additively manufactured polymeric metamaterials: design, fabrication, testing and modeling. Polymers (Basel). 2023;15(19):3858.
   PubMed Web of Science ®Google Scholar
• Jiao, Pengcheng, Jochen Mueller, Jordan R. Raney, Xiaoyu (Rayne) Zheng, and Amir H. Alavi. 2023. “Mechanical metamaterials and beyond.” Nat Commun 14 (1). 6004.
   PubMed Web of Science ®Google Scholar
• Li X, Wei Chua J, Yu X, et al. 3D-Printed lattice structures for sound absorption: current progress, mechanisms and models, structural-property relationships, and future outlook. Adv Sci. 2024;11(4):2305232.
   Web of Science ®Google Scholar
• Alawwa, Fares, Imad Barsoum, and Rashid K. Abu Al-Rub. 2023. “Modeling, testing, and optimization of novel lattice structures for enhanced mechanical performance.” Mech Adv Mater Struct: 1–24.
   Web of Science ®Google Scholar
• Challapalli A, Patel D, Li G. Inverse machine learning framework for optimizing lightweight metamaterials. Mater Des. 2021;208(October):109937.
   Google Scholar
• Egan, Paul F., Nava Raj Khatri, Manasi Anil Parab, and Amit M. E. Arefin. 2022. “Mechanics of 3D-printed polymer lattices with varied design and processing strategies.” Polymers (Basel) 14 (24). 5515.
   PubMed Web of Science ®Google Scholar
• Fan, Bingbing, Zhisun Xu, Yongshui Lin, and Zhixin Huang. 2023. “Mechanical properties of a novel Two-phase hybrid plate-lattice metamaterial.” Mech Adv Mater Struct 30 (23). 4752–4763.
   Web of Science ®Google Scholar
• Gao S, Ding J, Qu S, et al. Numerical and experimental investigation of additively manufactured shell-lattice copper heat exchanger. Int Commun Heat Mass Transfer. 2023a;147(October):106976.
   Google Scholar
• Gao T, Liu K, Wang X, et al. Elastic wave manipulation via functional incorporation of Air-solid phases in hybrid TPMS. Compos Commun. 2023b;44(December):101745.
   Google Scholar
• Gao T, Liu K, Wang X, et al. Elastic mechanical property hybridization of configuration-varying TPMS with geometric continuity. Mater Des. 2022a;221(September):110995.
   Google Scholar
• Gao Z, Wang H, Sun H, et al. Additively manufactured high-energy-absorption metamaterials with artificially engineered distribution of bio-inspired hierarchical microstructures. Compos B Eng. 2022b;247(December):110345.
   Google Scholar
• León-Becerra, Juan, Octavio A. González-Estrada, and Jabid Quiroga. 2021. “Effect of relative density in In-plane mechanical properties of common 3D-printed polylactic acid lattice structures.” ACS Omega 6 (44). 29830–29838.
   PubMed Web of Science ®Google Scholar
• Li, Tiantian, Firas Jarrar, Rashid Abu Al-Rub, and Wesley Cantwell. 2021. “Additive manufactured semi-plate lattice materials with high stiffness, strength and toughness.” Int J Solids Struct 230–231 (November): 111153.
   Google Scholar
• Li X, Wang H, Sun L, et al. 3D chiral energy-absorbing structures with a high deformation recovery ratio fabricated via selective laser melting of the NiTi alloy. ACS Appl Mater Interfaces. 2023a;November.
   Google Scholar
• Li Z, Li X, Wang X, et al. Interpenetrating hollow microlattice metamaterial enables efficient sound-absorptive and deformation-recoverable capabilities. ACS Appl Mater Interfaces. 2023b;15(20):24868–24879.
   PubMed Web of Science ®Google Scholar
• Li Z, Li X, Wang Z, et al. Multifunctional sound-absorbing and mechanical metamaterials via a decoupled mechanism design approach. Mater Horiz. 2023c;10(1):75–87.
   PubMed Web of Science ®Google Scholar
• Sokollu B, Gulcan O, Konukseven EI. Mechanical properties comparison of strut-based and triply periodic minimal surface lattice structures produced by electron beam melting. Addit Manuf. 2022;60(December):103199.
   Google Scholar
• Yu A, Zhang C, Xu W, et al. Additive manufacturing of multi-morphology graded titanium scaffolds for bone implant applications. J Mater Sci Technol. 2023;139(March):47–58.
   Google Scholar