___

• Zhang, X.Z., Leary, M., Tang, H.P., Song, T., Qian, M. 2018. “Selective electron beam manufactured Ti-6Al-4V lattice structures for orthopedic implant applications: Current status and outstanding challenges”, Current Opinion in Solid State and Material Science, 22 (3): 75-99.
• Wauthle, R., Vrancken, B., Beynaerts, B., Jorissena, K., Schrooten, J., Kruth, J. P., Humbeeck, J. V. 2015. “Effects of build orientation and heat treatment on the microstructure and mechanical properties of selective laser melted Ti6Al4V lattice structures”, Additive Manufacturing, 5: 77-84.
• Nakajima, H. 2007. “Fabrication, properties and application of porous metals with directional pores”, Progress in Materials Science, 52 (7): 1091-1173.
• Dallago, M., Winiarski, B., Zanini, F., Carmignato, S., Benedetti, M. 2019. “On the effect of geometrical imperfections and defects on the fatigue strength of cellular lattice structures additively manufactured via Selective Laser Melting”, International Journal of Fatigue, 124: 348-360.
• Rashed, M. G., Ashraf, M., Mines, R. A. W., Hazell, P. J. 2016. “Metallic microlattice materials: A current state of the art on manufacturing, mechanical properties and applications”, Materials & Design, 95:518-533.
• Hammetter, C. I., Rinaldi, R. G., Zok, F. W. 2013. “Pyramidal lattice structures for high strength and energy absorption”, Journal of Applied Mechanics, 80 (4): 041015.
• Crupi, V., Kara, E., Epasto, G., Guglielmino, E., Aykul, H. 2017. “Static behavior of lattice structures produced via direct metal laser sintering technology”, Materials and Design, 135: 246-256.
• Parthasarathy, J., Starly, B., Ramana, S., Christensen, A. 2010. “Mechanical evaluation of porous titanium (Ti6Al4V) structures with electron beam melting (EBM)”, Journal of the Mechanical Behavior of Biomedical Materials 3 (3): 249-259.
• Parthasarathy, J., Starly, B., Raman, S. 2011. “A design for the additive manufacture of functionally graded porous structures with tailored mechanical properties for biomedical applications”, Journal of Manufacturing Processes, 13(2): 160-170.
• Schwerdtfeger, J., Schury, F., Stingl, M., Wein, F., Singer, R. F., Körner, C. 2012. “Mechanical characterisation of a periodic auxetic structure produced by SEBM”, Physica Status Solidi B, 249 (7): 1347-1352.
• Warmuth, F., Osmanlic, F., Adler, L., Lodes, M. A., Körner, C. 2016. “Fabrication and characterization of a fully auxetic 3D lattice structure via selective electron beam melting”, Smart Mater. Struct. 26 (2): 025013.
• Epasto, G., Palomba, G., D'Andrea, D., Guglielmino, E., Di Bella, S., Traina, F. 2019. “Ti-6Al-4V ELI microlattice structures manufactured by electron beam melting: Effect of unit cell dimensions and morphology on mechanical behaviour”, Materials Science & Engineering A, 753: 31-41.
• Gümrük, R., Mines, R. A. W. 2013. “Compressive behaviour of stainless steel micro-lattice structures”, International Journal of Mechanical Sciences, 68: 125-139.
• Vrana, R., Koutny, D., Palousek, D. 2016. “Impact resistance of different types of lattice structures manufactured by slm”, Modern Machinery (MM) Science Journal, December: 1579-1585.
• Wang, L., Kang, J., Sun, C., Li, D., Cao, Y., Jin, Z. 2017. “Mapping porous microstructures to yield desired mechanical properties for application in 3D printed bone scaffolds and orthopaedic implants”, Materials & Design, 133: 62-68.
• Amani, Y., Dancette, S., Delroisse, P., Simar, A.,Maire, E. 2018. “Compression behavior of lattice structures produced by selective laser melting: X-ray tomography based experimental and finite element approaches”, Acta Materialia, 159: 395-407.
• Dong, Z., Zhang, X., Shi, W., Zhou, H., Lei, H., Liang, J. 2018. “Study of size effect on microstructure and mechanical properties of AlSi10Mg samples made by selective laser melting”, Materials, 11 (12): 2463.
• Yu, T., Hyer, H., Sohn, Y., Bai, Y., Wu, D. 2019. “Structure-property relationship in high strength and lightweight AlSi10Mg microlattices fabricated by selective laser melting”, Materials and Design, 182: 108062.
• Großmann, A., Gosmann, J., Mittelstedt, C. 2019. “Lightweight lattice structures in selective laser melting: Design, fabrication and mechanical properties”, Materials Science and Engineering: A, 766: 138356.
• Gangireddy, S., Komarasamy, M., Faierson, E. J., Mishra, R. S. 2019. High strain rate mechanical behavior of Ti-6Al-4V octet lattice structures additively manufactured by selective laser melting (SLM)”, Materials Science & Engineering A, 745: 231.239.
• Smith, M., Cantwell, W. J., Guan, Z., Tsopanos, S., Theobald, M. D., Nurick, G. N., Langdon, G. S. 2011. “The quasi-static response of steel lattice structures”, Journal of Sandwich Structures & Materials, 13 (4): 479-501.
• Contuzzi, N., Campanelli, S. L., Casavola, C., Lamberti, L. 2013. “Manufacturing and characterization of 18Ni Marage 300 lattice components by selective laser melting”, Materials, 6 (8): 3451-3468.
• Liu, W., Song, H., Wang, Z., Wang, J., Huang, C. 2019. “Improving mechanical performance of fused deposition modeling lattice structures by a snap-fitting method”, Materials and Design, 181: 108065.
• Wally, Z. J., Haque, A. M., Feteira, A., Claeyssens, F.,Goodall, R., Reilly, G. C. 2019. “Selective laser melting processed Ti6Al4V lattices with graded porosities for dental applications”, Journal of the Mechanical Behavior of Biomedical Materials, 90: 20-29.
• Maskery, I., Aboulkhair, N. T., Aremu, A. O., Tuck, C. J., Ashcroft, I. A. 2017. “Compressive failure modes and energy absorption in additively manufactured double gyroid lattices”, Additive Manufacturing, 16: 24-29.
• Flores, I., Kretzschmar, N., Azman, A. H., Chekurov, S., Pedersen, D. B., Chaudhuri, A. 2020. “Implications of lattice structures on economics and productivity of metal powder bed fusion”, Additive Manufacturing, 31: 100947.
• Hao, L., Raymont, D., Yan, C., Hussein, A., Young, P. 2011. “Design and additive manufacturing of cellular lattice structures”, The International Conference on Advanced Research in Virtual and Rapid Prototyping (VRAP), At Leiria, Portugal.
• Horn, T. J., Harrysson, O. L. A., Marcellin-Little, D. J., West, H. A., Lascelles, B. D. X., Aman, R. 2014. “Flexural properties of Ti6Al4V rhombic dodecahedron open cellular structures fabricated with electron beam melting”, Additive Manufacturing, 1-4: 2-11.
• Heinl, P., Körner, C., Singer, R. F. 2008. “Selective electron beam melting of cellular titanium: mechanical properties”, Advanced Engineering Materials, 10 (9): 882-888.
• Labeas, G. N., Sunaric, M. M. 2010. “Investigation on the static response and failure process of metallic open lattice cellular structures”, Strain, 46 (2): 195-204.
• Yan, C.Z., Hao, L., Hussein, A., Raymont, D. 2012. “Evaluations of cellular lattice structures manufactured using selective laser melting”, International Journal of Machine Tools and Manufacture, 62: 32-38.
• Hussein, A., Hao, L., Yan, C., Everson, R., Young, P. 2013. “Advanced lattice support structures for metal additive manufacturing”, Journal of Materials Processing Technology, 213: 1019-1026.
• Ahmadi, S. M., Campoli, G., Yavari, S. A., Sajadi, B., Wauthle, R., Schrooten, J., Weinans, H., Zadpoor, A. A. 2014. “Mechanical behavior of regular open-cell porous biomaterials made of diamond lattice unit cells”, Journal of the Mechanical Behavior of Biomedical Materials, 34: 106-115.
• Yan, C., Hao, L., Hussein, A., Bubb, S. L., Young, P., Raymont, D. 2014. “Evaluation of light-weight AlSi10Mg periodic cellular lattice structures fabricated via direct metal laser sintering”, Journal of Materials Processing Technology, 214: 856-864.
• Yan, C., Hao, L., Hussein, A., Young, P., Huang, J., Zhu, W. 2015. “Microstructure and mechanical properties of aluminum alloy cellular lattice structures manufactured by direct metal laser sintering”, Materials Science & Engineering A, 628: 238-246.
• Yang, L. 2015 “Experimental-assisted design development for an octahedral cellular structure using additive manufacturing”, Rapid Prototyping Journal, 21 (2): 168-176.
• Xiao, L. J., Song, W. D., Wang, C., Liu, H. Y., Tang, H. P., Wang, J. Z. 2015. “Mechanical behavior of open-cell rhombic dodecahedron Ti–6Al–4V lattice structure”, Materials Science and Engineering A, 640: 375-384.
• Du Plessis, A., Kouprianoff, D. P., Yadroitsava, I., Yadroitsev, I. 2018. “Mechanical properties and in situ deformation imaging of microlattices manufactured by laser based powder bed fusion”, Materials, 11 (9): 1663.
• Ataee, A., Li, Y., Brandt, M., Wen, C. 2018. “Ultrahigh-strength titanium gyroid scaffolds manufactured by selective laser melting (SLM) for bone implant applications”, Acta Materialia, 158: 354-368.
• Ataee, A., Li, Y., Fraser, D., Song, G., Wen, C. 2018. “Anisotropic Ti-6Al-4V gyroid scaffolds manufactured by electron beam melting (EBM) for bone implant applications”, Materials & Design, 137: 345-354.
• Ma, Z., Zhang, D.Z., Liu, F., Jiang, J., Zhao, M., Zhang, T. 2018. “Lattice structures of Cu-Cr-Zr copper alloy by selective laser melting: Microstructures, mechanical properties and energy absorption”, Materials & Design, 187: 108406.
• Osman, M. M., Shazly, M., El-Danaf, E. A., Jamshidi, P., Attallah, M. M. 2020. “Compressive behavior of stretched and composite microlattice metamaterial for energy absorption applications”, Composites Part B: Engineering,184: 107715.
• Peng, C.,Tran, P., Nguyen-Xuan, H., Ferreira, A. J. M. 2020. “Mechanical performance and fatigue life prediction of lattice structures: Parametric computational approach”, Composite Structures, 235: 111821.
• Yuan, L., Ding, S., Wen, C. 2019. “Additive manufacturing technology for porous metal implant applications and triple minimal surface structures: A review”, Bioactive Materials, 4: 56-70.
• Xu, Y., Zhang, D., Zhou, Y., Wang, W., Cao, X. 2017. “Study on topology optimization design, manufacturability, and performance evaluation of Ti-6Al-4V porous structures fabricated by selective laser melting (SLM)”, Materials, 10 (9): 1048.
• Xu, G., Kou, H., Liu, X., Li, F., Li, J., Zhou, L. 2017. “Microstructure and mechanical properties of porous titanium based on controlling Young's modulus”, Rare Metal Materials and Engineering, 46(8): 2041-2048.
• Wei, K., Yang, Q., Ling, B., Xie, H., Qu, Z., Fang, D. 2018. “Mechanical responses of titanium 3D kagome lattice structure manufactured by selective laser melting”, Extreme Mechanics Letters, 23: 41-48.
• Yan, X., Li, Q., Yin, S., Chen, Z., Jenkins, R., Chen, C., Wang, J., Ma, W., Bolot, R., Lupoi, R., Ren, Z., Liao, H., Liu, M. 2019. “Mechanical and in vitro study of an isotropic Ti6Al4V lattice structure fabricated using selective laser melting”, Journal of Alloys and Compounds, 782: 209-223.
• Xu, Y., Zhang, D., Hu, S., Chen, R., Gu, Y., Kong, X., Tao, J., Jiang, Y. 2019. “Mechanical properties tailoring of topology optimized and selective laser melting fabricated Ti6Al4V lattice structure”, Journal of the Mechanical Behavior of Biomedical Materials, 99: 225-239.
• Wei, K., Yang, Q., Yang, X., Tao, Y., Xie, H., Qu, Z., Fang, D. 2020. “Mechanical analysis and modeling of metallic lattice sandwich additively fabricated by selective laser melting”, Thin Walled Structures, 146: 106189.
• Zhang, X.-Y., Fang, G., Leeflang, S., Zadpoor, A. A., Zhou, J. 2018. “Topological design, permeability and mechanical behavior of additively manufactured functionally graded porous metallic biomaterials”, Acta Biomaterialia, 84: 437-452.
• Wu, Y. C., Kuo, C. N., Shie, M. Y., Su, Y. L., Wei, L. J., Chen, S. Y., Huang, J. C. 2018. “Structural design and mechanical response of gradient porous Ti-6Al-4V fabricated by electron beam additive manufacturing”, Materials and Design, 158: 256-265.
• Ravari, M. K., Esfahani, S. N., Andani, M. T., Kadkhodaei, M., Ghaei, A., Karaca, H., Elahinia, M. 2016. “On the effects of geometry, defects, and material asymmetry on the mechanical response of shape memory alloy cellular lattice structures”, Smart Materials and Structures, 25 (2): 025008.
• Vrána, R., Červinek, O., Maňas, P., Koutný, D., Paloušek, D. 2018. “Dynamic loading of lattice structure made by selective laser melting-numerical model with substitution of geometrical imperfections”, Materials, 11(11): 2129.
• Liu, F., Zhang, D. Z., Zhang, P., Zhao, M., Jafar, S. 2018. “Mechanical properties of optimized diamond lattice structure for bone scaffolds fabricated via selective laser melting”, Materials, 11 (3): 374.
• Cao, X., Duan, S., Liang, J., Wen, W., Fang, D. 2018. “Mechanical properties of an improved 3D-printed rhombic dodecahedron stainless steel lattice structure of variable cross section”, International Journal of Mechanical Sciences,145: 53-63.
• Bai, L., Yi, C., Chen, X., Sun, Y., Zhang, J. 2019. “Effective design of the graded strut of BCC lattice structure for improving mechanical properties”, Materials, 12 (13): 2192.
• Maskery, I., Aremu, A.O., Parry, L., Wildman, R.D., Tuck, C.J., Ashcroft, I.A. 2018. “Effective design and simulation of surface-based lattice structures featuring volume fraction and cell type grading”, Materials and Design, 155: 220-232.
• Yang, L., Yan, C., Fan, H., Li, Z., Cai, C., Chen, P., Shi, Y., Yang, S. 2019. “Investigation on the orientation dependence of elastic response in Gyroid cellular structures”, Journal of the Mechanical Behavior of Biomedical Materials, 90: 73-85.
• Gümrük, R., Mines, R., Karadeniz, S. 2013. “Static mechanical behaviours of stainless-steel micro-lattice structures under different loading conditions”, Materials Science and Engineering A, 586: 392-406.
• Yang, L., Mertens, R., Ferrucci, M., Yan, C., Shi, Y., Yang, Y. 2019. “Continuous graded Gyroid cellular structures fabricated by selective laser melting: Design, manufacturing and mechanical properties”, Materials & Design, 162: 394-404.
• Nazir, A., Abate, K. M., Kumar, A., Jeng, J-Y. 2019. “A state-of-the-art review on types, design, optimization, and additive manufacturing of cellular structures”, The International Journal of Advanced Manufacturing Technology, 104 (9-12): 3489-3510.
• Shen, Y., Cantwell, W. J., Mines, R. A. W., Ushijima, K. 2012. “The properties of lattice structures manufactured using selective laser melting”, Advanced Materials Research, 445: 386-391.
• Smith, M., Guan, Z., Cantwell, W. 2013. “Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique”, International Journal of Mechanical Sciences, 67: 28-41.
• Hussein, A. Y. 2013. “The development of lightweight cellular structures for metal additive manufacturing”, PhD Thesis, University of Exeter, UK.
• Weißmann, V., Bader, R., Hansmann, H., Laufer, N. 2016. “Influence of the structural orientation on the mechanical properties of selective laser melted Ti6Al4V open porous scaffolds”, Materials and Design, 95: 188-197.
• Yánez, A., Herrera, A., Martel, O., Monopoli, D., Afonso, H. 2016. “Compressive behavior of gyroid lattice structures for human cancellous bone implant applications”, Materials Science and Engineering C, 68: 445-448.
• Cansizoglu, O., Harrysson, O., Cormier, D., West, H., Mahale, T. 2008. “Properties of Ti-6Al-4V non-stochastic lattice structures fabricated via electron beam melting”, Materials Science and Engineering: A, 492(1-2):468–474.
• Brandl, E., Heckenberger, U., Holzinger, V., Buchbinder, D. 2012. “Additive manufactured AlSi10Mg samples using Selective Laser Melting (SLM): microstructure, high cycle fatigue, and fracture behavior”, Materials and Design, 34: 159-169.
• Alsalla, H., Hao, L., Smith, C. 2016. “Fracture toughness and tensile strength of 316L stainless steel cellular lattice structures manufactured using the selective laser melting technique”, Material Science and Engineering A, 669: 1-6.
• Weißmann, V., Drescher, P., Bader, R., Seitz, H., Hansmann, H., Laufer, N. 2017. “Comparison of single Ti6Al4V struts made using selective laser melting and electron beam melting subject to part orientation”, Metals, 7(3): 91.
• Dong, Z., Liu, Y., Li, W., Liang, J. 2019. “Orientation dependency for microstructure, geometric accuracy and mechanical properties of selective laser melting AlSi10Mg lattices”, Journal of Alloys and Compounds, 791: 490-500.
• Tallon, J., Cyr, E., Lloyd, E., Mohammadi, M. 2020. “Crush performance of additively manufactured maraging steel microlattice reinforced plates”, Engineering Failure Analysis, 108: 104231.
• Gu, H., Li, S., Pavier, M., Attallah, M. M., Paraskevoulakos, C., Shterenlikht, A. 2019. “Fracture of three-dimensional lattices manufactured by selective laser melting”, International Journal of Solids and Structures, 180-181: 147-159.
• Delroisse, P., Jacques, P. J., Maire, E., Rigo, O., Simar, A. 2017. “Effect of strut orientation on the microstructure heterogeneities in AlSi10Mg lattices processed by selective laser melting”, Scripta Materialia, 141: 32-35.
• Sing, S. L., Wiria, F. E., Yeong, W. Y. 2018. “Selective laser melting of lattice structures: A statistical approach to manufacturability and mechanical behavior”, Robotics and Computer–Integrated Manufacturing 49: 170-180.
• Yadroitsev, I., Thivillon, L., Bertrand, Ph., Smurov, I. 2007. “Strategy of manufacturing components with designed internal structure by selective laser melting of metallic powder”, Applied Surface Science, 254 (4): 980-983.
• Wang, Y., Shen, Y., Wang, Z., Yang, J., Liu, N., Huang, W. 2010. “Development of highly porous titanium scaffolds by selective laser melting”, Material Letters, 64: 674-676.
• Tsopanos, S., Mines, R. A. W., McKown, S., Shen, Y., Cantwell, W. J., Brooks, W., Sutcliffe, C. J. 2010. “The influence of processing parameters on the mechanical properties of selectively laser melted stainless steel microlattice structures”, Journal of Manufacturing Science and Engineering, 132 (4): 041011.
• Zhang, S., Wei, Q., Cheng, L., Li, S., Shi, Y. S. 2014. “Effects of scan line spacing on pore characteristics and mechanical properties of porous Ti6Al4V implants fabricated by selective laser melting”, Materials and Design, 63: 185-193.
• Campanelli, S. L., Contuzzi, N., Ludovico, A. D., Caiazzo, F., Cardaropoli, F., Sergi, V. 2014. “Manufacturing and characterization of Ti6Al4V lattice components manufactured by selective laser melting”, Materials, 7 (6): 4803–4822.
• List, F. A., Dehoff, R. R., Lowe, L. E., Sames, W. J. 2014. “Properties of Inconel 625 mesh structures grown by electron beam additive manufacturing”, Materials Science and Engineering: A, 615:191-197.
• Qiu, C., Yue, S., Adkins, N. J. E., Ward, M., Hassanin, H., Lee, P. D., Withers, P. J., Attallah, M. M. 2015. “Influence of processing conditions on strut structure and compressive properties of cellular lattice structures fabricated by selective laser melting”, Materials Science & Engineering A, 628: 188-197.
• Sing, S. L., Yeong, W. Y., Wiria, F. E., Tay, B. Y. 2016. “Characterization of titanium lattice structures fabricated by selective laser melting using an adapted compressive test method”, Experimental Mechanics, 56 (5): 735-748.
• Vrána, R., Koutný, D., Paloušek, D., Pantělejev, L., Jaroš, J., Zikmund, T., Kaiser, J. 2018. “Selective laser melting srategy for fabrication of thin struts usable in lattice structures”, Materials, 11 (9): 1763.
• Li, C., Lei, H., Liu, Y., Zhang, X., Xiong, J., Zhou, H., Fang, D. 2018. “Crushing behavior of multi-layer metal lattice panel fabricated by selective laser melting”, International Journal of Mechanical Sciences, 145: 389-399.
• Onal, E., Medvedev, A. E., Leeflang, M. A., Molotnikov, A., Zadpoor, A.A. 2019. “Novel microstructural features of selective laser melted lattice struts fabricated with single point exposure scanning”, Additive Manufacturing, 29: 100785.
• Velasco-Castro, M., Hernandez-Nava, E., Figueroa, I.A., Todd, I., Goodall, R. 2019. “The effect of oxygen pickup during selective laser melting on the microstructure and mechanical properties of Ti–6Al–4V lattices”, Heliyon, 5: e02813.
• Tan, Z., Zhang, X., Zhou, Z., Zhou, Z., Yang, Y., Guo, X., Wang, Z., Wu, X., Wang, G., He, D. 2019. “Thermal effect on the microstructure of the lattice structure Cu-10Sn alloy fabricated through selective laser melting”, Journal of Alloys and Compounds, 787: 903-908.
• Salem, H., Carter, L.N., Attallah, M.M., Salem, H.G. 2019. “Influence of processing parameters on internal porosity and types of defects formed in Ti6Al4V lattice structure fabricated by selective laser melting”, Materials Science & Engineering A, 767: 138387.
• Yan, C., Hao, L., Hussein, A., Young, P. 2015. “Ti–6Al–4V triply periodic minimal surface structures for bone implants fabricated via selective laser melting”, Journal of the Mechanical Behavior of Biomedical Materials, 51: 61-73.
• Yan, C., Hao, L., Hussein, A., Wei, Q., Shi, Y. 2017. “Microstructural and surface modifications and hydroxyapatite coating of Ti-6Al-4V triply periodic minimal surface lattices fabricated by selective laser melting”, Materials Science and Engineering: C, 75: 1515-1524.
• Zhang, M., Yang, Y., Wang, D., Xiao, Z., Song, C., Weng, C. 2018. “Effect of heat treatment on the microstructure and mechanical properties of Ti6Al4V gradient structures manufactured by selective laser melting”, Materials Science and Engineering A, 736: 288- 297.
• Yan, X., Lupoi, R., Wu, H., Ma, W., Liu, M., O’Donnell, G., Yin, S. 2019. “Effect of hot isostatic pressing (HIP) treatment on the compressive properties of Ti6Al4V lattice structure fabricated by selective laser melting”, Materials Letters, 255: 126537.
• Dallago, M., Fontanari, V., Winiarski, B., Zanini, F., Carmignato, S., Benedetti, M. 2017. “Fatigue properties of Ti6Al4V cellular specimens fabricated via SLM: CAD vs real geometry”, Structural Integrity Procedia, 7: 116-123.
• Brenne, F., Niendorf, T., Maier, H. J. 2013. “Additively manufactured cellular structures: Impact of microstructure and local strains on the monotonic and cyclic behavior under uniaxial and bending load”, Journal of Materials Processing Technology, 213 (9): 1558-1564.
• Dong, G., Tang, Y., Zhao, Y. F. 2017. “A survey of modeling of lattice structures fabricated by additive manufacturing”, Journal of Mechanical Design, 139(10): 100906.
• Helou, M., Kara, S. 2018. “Design, analysis and manufacturing of lattice structures: an overview”, International Journal of Computer Integrated Manufacturing, 31 (3): 243-261.