Multi-objective topology optimisation design of surface-based lattice structures for energy absorption capacity

References

• Pan C, Han Y, Lu J. Design and optimization of lattice structures: a review. Appl Sci. September 2020;10(18):6374. doi: 10.3390/app10186374.
   Google Scholar
• Leary M, Mazur M, Elambasseril J, et al. Selective laser melting (SLM) of AlSi12Mg lattice structures. Mater Des. May 2016;98:344–357. doi: 10.1016/j.matdes.2016.02.127.
   Web of Science ®Google Scholar
• Al-Ketan O, Abu Al-Rub RK. Multifunctional mechanical metamaterials based on triply periodic minimal surface lattices. Adv Eng Mater. October 2019;21(10):1900524. doi: 10.1002/adem.201900524.
   Web of Science ®Google Scholar
• Kapfer SC, Hyde ST, Mecke K, et al. Minimal surface scaffold designs for tissue engineering. Biomaterials. October 2011;32(29):6875–6882. doi: 10.1016/j.biomaterials.2011.06.012.
   PubMed Web of Science ®Google Scholar
• Al-Ketan O, Rowshan R, Abu Al-Rub RK. Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials. Addit Manuf. January 2018;19:167–183. doi: 10.1016/j.addma.2017.12.
   Web of Science ®Google Scholar
• Novak N, Al-Ketan O, Krstulovíc-Opara L, et al. Quasi-static and dynamic compressive behaviour of sheet TPMS cellular structures. Compos Struct. June 2021;266:113801. doi: 10.1016/j.compstruct.2021.113801.
   Web of Science ®Google Scholar
• Li X, Xiao L, Song W. Compressive behavior of selective laser melting printed gyroid structures under dynamic loading. Addit Manuf. October 2021;46:102054. doi: 10.1016/j.addma.2021.102054.
   Web of Science ®Google Scholar
• Abueidda DW, Bakir M, Abu Al-Rub RK, et al. Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures. Mater Des. May 2017;122:255–267. doi: 10.1016/j.matdes.2017.03.018.
   Web of Science ®Google Scholar
• Smith M, Guan Z, Cantwell WJ. Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique. Int J Mech Sci. February 2013;67:28–41. doi: 10.1016/j.ijmecsci.
   Web of Science ®Google Scholar
• Andreassen E, Schousboe Andreasen C. How to determine composite material properties using numerical homogenization. Comput Mater Sci. February 2014;83:488–495. doi: 10.1016/j.commatsci.2013.09.006.
   Web of Science ®Google Scholar
• Cho H-H, Cho Y, Han HN. Finite element analysis for mechanical response of Ti foams with regular structure obtained by selective laser melting. Acta Mater. September 2015;97:199–206. doi: 10.1016/j.actamat.2015.07.003.
   Web of Science ®Google Scholar
• Mayer RR, Kikuchi N, Scott RA. Application of topological optimization techniques to structural crashworthiness. Int J Numer Methods Eng. 1996;39(8):1383–1403. doi: 10.1002/(SICI)1097-0207(19960430)39:8⟨1383::.
   Web of Science ®Google Scholar
• Patel NM, Kang B-S, Renaud JE, et al. Crashworthiness design using topology optimization. J Mech Des. June 2009;131(6):061013. doi: 10.1115/1.3116256.
   Web of Science ®Google Scholar
• Park G-J. Technical overview of the equivalent static loads method for non-linear static response structural optimization. Struct Multidisc Optim. March 2011;43(3):319–337. doi: 10.1007/s00158-010-0530-x.
   Web of Science ®Google Scholar
• Yan K, Cheng G. A hybrid approach to structural topology optimization of vehicle for crashworthiness. page 8, 2016.
   Google Scholar
• Liao L. A study of inertia relief analysis. In 52nd AIAA/AS-ME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, Colorado, April 2011. American Institute of Aeronautics and Astronautics. ISBN 978-1-60086-951-8. doi: 10.2514/6.2011-2002. doi: 10.2514/6.2011-2002.
   Google Scholar
• Bai L, Gong C, Chen X, et al. Mechanical properties and energy absorption capabilities of functionally graded lattice structures: experiments and simulations. Int J Mech Sci. September 2020;182:105735. doi: 10.1016/j.ijmecsci.2020.105735.
   Web of Science ®Google Scholar
• Aslan B, Yıldız AR. Optimum design of automobile components using lattice structures for additive manufacturing. Mater Test. June 2020;62(6):633–639. doi: 10.3139/120.111527.
   Web of Science ®Google Scholar
• Zheng X, Fu Z, Du K, et al. Minimal surface designs for porous materials: from microstructures to mechanical properties. J Mater Sci. July 2018;53(14):10194–10208. doi: 10.1007/s10853-018-2285-5.
   Web of Science ®Google Scholar
• Shi X, Liao W, Liu T, et al. Design optimization of multimorphology surface-based lattice structures with density gradients. Int J Adv Manuf Technol. December 2021;117(7-8):2013–2028. doi: 10.1007/s00170-021-07175-3.
   Web of Science ®Google Scholar
• Tang Y, Dong G, Zhao YF. A hybrid geometric modeling method for lattice structures fabricated by additive manufacturing. Int J Adv Manuf Technol. June 2019;102(9-12):4011–4030. doi: 10.1007/s00170-019-03308-x.
   Web of Science ®Google Scholar
• Hatch H, Pennington JE, Cobb J. Infinite periodic minimal surfaces without self-intersections. https://www.semanticscholar.org/paper/INFINITE-PERIODIC-MINIMAL-SURFACES-WITHOUT-Hatch-Pennington/da58bf7ae293ce0dc00d60510f25424273dbfcce., 2002.
   Google Scholar
• Johnson GR, Cook WH. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech. January 1985;21(1):31–48. doi: 10.1016/0013-7944(85)90052-9.
   Web of Science ®Google Scholar
• Biswas N, Ding JL. Numerical study of the deformation and fracture behavior of porous Ti6Al4V alloy under static and dynamic loading. Int J Impact Eng. August 2015;82:89–102. doi: 10.1016/j.ijimpeng.2014.08.011.
   Web of Science ®Google Scholar
• Murr LE, Gaytan SM, Medina F, et al. Next-generation biomedical implants using additive manufacturing of complex, cellular and functional mesh arrays. Philos Trans A Math Phys Eng Sci. April 2010;368(1917):1999–2032. doi: 10.1098/rsta.2010.0010.
   PubMed Web of Science ®Google Scholar
• Gibson LJ. Mechanical behavior of metallic foams. Annu Rev Mater Sci. 2000;30(1):191–227. URL doi: 10.1146/annurev.matsci.30.1.191.
   Web of Science ®Google Scholar
• Yang L, Yan C, Han C, et al. Mechanical response of a triply periodic minimal surface cellular structures manufactured by selective laser melting. Int J Mech Sci. November 2018;148:149–157. doi: 10.1016/j.ijmecsci.2018.08.039.
   Web of Science ®Google Scholar
• Tovar A, Patel N, Kaushik A, et al. Hybrid cellular automata: a biologically-inspired structural optimization technique. In 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, New York, August 2004. American Institute of Aeronautics and Astronautics. ISBN 978-1-62410-019-2. doi: 10.2514/6.2004-4558. doi: 10.2514/6.2004-4558.
   Google Scholar
• Al-Bazoon M, Arora JS. Discrete variable optimization of structures subjected to dynamic loads using equivalent static loads and metaheuristic algorithms. Optim Eng. June 2022;23(2):643–687. doi: 10.1007/s11081-021-09599-y.
   Web of Science ®Google Scholar
• Nelson MF, Wolf JA. The use of inertia relief to estimate impact loads. In 2nd International Conference on Vehicle Structural Mechanics, page 770604, February 1977. doi: 10.4271/770604. doi: 10.4271/770604.
   Google Scholar
• Wu T, Li S. An efficient multiscale optimization method for conformal lattice materials. Struct Multidisc Optim. March 2021;63(3):1063–1083. doi: 10.1007/s00158-020-02739-5.
   Web of Science ®Google Scholar