[1] U. G. K. Wegst, H. Bai, E. Saiz, A. P. Tomsia, and R. O. Ritchie: “Bioinspired structural materials” Nature Materials 14 (2015).
[2] P. Vukusic and J. R. Sambles: “Photonic structures in biology” Nature 424, 14 (2003).
[3] D. Tawara and K. Nagura: “Predicting changes in mechanical properties of trabecular bone by adaptive remodeling” Computer Methods in Biomechanics and Biomedical Engineering 20, 4 (2017).
[4] H. Sun, Z. Xu, and Chao Gao: “Multifunctional, Ultra-Flyweight, Synergistically Assembled Carbon Aerogels” Advanced Materials 25, 2554-2560 (2013).
[5] J. Banhart: “Manufacture, characterisation and application of cellular metals and metal foams” Progress in Materials Science 46, 559–632 (2001).
[6] T.A. Schaedler, A.J. Jacobsen, A. Torrents, A.E. Sorensen, J. Lian, J.R. Greer, L. Valdevit, and W.B. Carter: “Ultralight Metallic Microlattices” Science 334, 6058 (2011).
[7] M.G. Rashed, M. Ashraf, R.A.W. Mines, and Paul J. Hazell: “Metallic microlattice materials: A current state of the art on manufacturing, mechanical properties and applications” Materials and Design 95, 518-533 (2016).
[8] D. R. Smith, Willie J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz: “Composite Medium with Simultaneously Negative Permeability and Permittivity” Physical Review Letters 84 (2000).
[9] R. A. Shelby, D. R. Smith and S. Schultz: “Experimental Verification of a Negative Index of Refraction” Science 292, 5514 (2001).
[10] K. Konishi, T. Higuchi, J. Li, J. Larsson, S. Ishii, and M. Kuwata-Gonokami: “Polarization-Controlled Circular Second-Harmonic Generation from Metal Hole Arrays with Threefold Rotational Symmetry” Physical Review Letters 112, 135502 (2014).
[11] T. Kan, A. Isozaki, N. Kanda, N. Nemoto, K. Konishi, H. Takahashi, M. KuwataGonokami, K. Matsumoto, and I. Shimoyama: “Enantiomeric switching of chiral metamaterial for terahertz polarization modulation employing vertically deformable MEMS spirals” Nature Communications 6, 8422 (2015).
[12] W.J. Otter, N.M. Ridler, H. Yasukochi, K. Soeda, K. Konishi, J. Yumoto, M. KuwataGonokami, and S. Lucyszyn: “3D printed 1.1 THz waveguides” Electronics Letters 53, 471 (2017).
[13] J. Fischer and M. Wegener: “Three-dimensional optical laser lithography beyond the diffraction limit” Laser and Photonics Review 7, 22-44 (2014).
[14] J. Fischer, J. B. Mueller, J. Kaschke, T. J. A. Wolf, A.-N. Unterreiner, and M. Wegener: “Three-dimensional multi-photon direct laser writing with variable repetition rate” Optical Express 21, 26244-26260 (2013).
[15] M. Deubel, G. von Freymann, M. Wegener, S. Pereira, K. Busch, and C.M. Soukoulis: “Direct Laser Writing of Three-Dimensional Photonic Crystal Templates for Telecommunications” Nature Materials 3, 444-447 (2004).
[16] T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener: “Three-Dimensional Invisibility Cloak at Optical Wavelengths” Science 328, 16 (2010).
[17] J. Qu, M. Kadic, A. Naber, and M. Wegener: “Micro-Structured Two-Component 3D Metamaterials with Negative Thermal-Expansion Coefficient from Positive Constituents” Scientific Reports 7, 40643 (2017).
[18] H. Yasukochi, K. Soeda, and H. Suzuki: “3D Model Generation Device, 3D Model Generation Method, 3D Model Generation Program, Structure, And Structure Manufacturing Method” PCT/JP2018/021161 (2018).
[19] B. Redwood, F. Sch¨offer, and B. Garret: “The 3D Printing Handbook: Technologies, design and applications” 3D HUBS (2018).
[20] 丸谷洋二, 早野誠治: “3D プリンター ー AM 技術の持続的発展のために” オプトロニク ス社 (2014).
[21] 小玉秀男: “立体図形作製装置” 特開昭 56-144478 (1981).
[22] C. W. Hull: “Apparatus For Production Of Three-Dmensonal Objects By Stereolithography” US4575330 (1984).
[23] H. Ahn, M. Montero, D. Odell, S. Roundy, and P. K. Wright: “Anisotropic material properties of fused deposition modeling ABS.” Rapid Prototyping Journal 8, 4 (2002).
[24] J. Ryan C. Dizona, A. H. Espera Jr, Q. Chena, and R. C. Advincula: “Mechanical characterization of 3D-printed polymers” Additive Manufacturing 20, 44–67 (2018).
[25] R. Hague, S. Mansour, and N. Saleh: “Material and design considerations for rapid manufacturing.” International Journal of Production Research 42, 22:4691–708 (2004).
[26] T. Tomonari, A. Masumori, M. Fujii, and H. Tanaka: “An Internal Structure and Attributes Provided by Voxel-based 3D Data Format FAV (Fab-able Voxel” Imaging Conference JAPAN A-16, 33 (2016).
[27] W. Prager: “A note on discretized Michell structures” Computer Methods in Applied Mechanics and Engineering 3, 3 (1974).
[28] O. C. Zienkiewicz and J. S. Campbell: “Optimum Structural Design” Willy and Sons (1973).
[29] M. P. Bendsøe and N. Kikuchi: “Generating optimal topologies in structural design using a homogenization method” Computer Methods in Applied Mechanics and Engineering 71, 2 (1988).
[30] M. P. Bendsøe: “Optimal shape design as a material distribution problem” Structural Optimization 1, 4 (1989).
[31] Airbus Defence and Space Press Release “Airbus Defence and Space optimising components using 3D printing for new Eurostar E3000 satellite platforms” Airbus Defence and Space Ltd. (2015).
[32] M. Frecker, N. Kikuchi, and S. Kota: “Topology optimization of compliant mechanisms with multiple outputs” Structural Optimization 17, 269-278 (1999).
[33] M. Leary, L. Merli, F. Torti, M. Mazur, and M. Brandt: “Optimal topology for additive manufacture: A method for enabling additive manufacture of support-free optimal structures” Materials and Design 63, 678–690 (2014).
[34] J.A.Sethian and A. Wiegmann: “Structural Boundary Design via Level Set and Immersed Interface Methods” Journal of Computational Physics 163, 2 (2000).
[35] J. Wu, N. Aage, R. Westermann, and O. Sigmund: “Infill Optimization for Additive Manufacturing―Approaching Bone-Like Porous Structures” IEEE Transactions on Visualization and Computer Graphics 24, 2 (2018).
[36] C. Coulais, D. Sounas, and A. Al`u: “Static non-reciprocity in mechanical metamaterials” Nature 542, 461–464 (2015).
[37] B. Florijn, C. Coulais, and M. van Hecke: “Programmable Mechanical Metamaterials” Physical Review Letters 113, 175503 (2014).
[38] A. Ion, J. Frohnhofen, L. Wall, R. Kovacs, M. Alistar, J. Lindsay, P. Lopes, H. Chen, and P. Baudisch: “Metamaterial Mechanisms” In User Interface Software and Technology (2016).
[39] T. Frenzel, M. Kadic, and M. Wegener: “Three-dimensional mechanical metamaterials with a twist” Science 358, 6366 (2018).
[40] A. Takezawa, Y. Koizumi, and M. Kobashi: “High-stiffness and strength porous maraging steel via topology optimization and selective laser melting” Additive Manufacturing 18, 194–202 (2017).
[41] A. Takezawa, M. Kobashi, Y. Koizumi, and M. Kitamura: “Porous metal produced by selective laser melting with effective isotropic thermal conductivity close to the Hashin–Shtrikman bound” International Journal of Heat and Mass Transfer 105, 564–572 (2017).
[42] T. B¨uckmann, M. Kadic, R. Schittny, and M. Wegener: “Mechanical cloak design by direct lattice transformation” Proceedings of the National Academy of Sciences of the United States of America 112, 4930-4934 (2015).
[43] R. C. Rumpf, J. Pazos, C. R. Garcia, L. Ochoa, and R. Wicker: “3D printed lattices with spatially variant self-collimatio” Progress in Electromagnetics Research 139, 1- 14 (2013).
[44] A. Panesar, M. Abdia, D. Hickmana, and I. Ashcrofta: “Strategies for functionally graded lattice structures derived using topology optimisation for Additive Manufacturing” Additive Manufacturing 19, 81–94 (2018).
[45] A. Okabe, B. Boots, K. Sugihara, and S.N. Chiu: “Spatial Tessellations: Concepts and Applications of Voronoi Diagrams” Willy and Sons (2000).
[46] S. Gomez, M.D. Vlad, J. Lopez, and E. Fernandez: “Design and properties of 3D scaffolds for bone tissue engineering” Acta Biomaterialia 42, 341-350 (2016).
[47] I. Buj-Corral, A. Bagheri, and O. Petit-Rojo: “3D Printing of Porous Scaffolds with Controlled Porosity and Pore Size Values” Materials 11, 1532 (2018).
[48] H. Yasukochi: “Three-dimensional modeling apparatus, object, and method of manufacturing an object”, US20120045617A1 (2012).
[49] デクセリアルズ社 SK1100 シリーズ 製品 ホームページ: “http://www.dexerials.jp/products/b2/sk1100.html”, デクセリアルズ株式会社.
[50] The Stanford Bunny Model Data: “http://graphics.stanford.edu/data/3Dscanrep”, Stanford University.
[51] : OpenGL (ホームページ) : “https://www.opengl.org”, Khronos Group.
[52] : OpenGL Shading Language (ホームページ) : “https://www.khronos.org/opengl/wiki/OpenGL Shading Language”, Khronos Group.
[53] W. E. Lorensen and H. E. Cline: “Marching cubes: A high resolution 3D surface construction algorithm” SIGGRAPH, 163-169 (1987).
[54] A. P. Witkin and P. S. Heckbert: “Using particles to sample and control implicit surfaces” SIGGRAPH, 269-277 (1994).
[55] G. Turk and J. F. O’Brien: “Modelling with implicit surfaces that interpolate” ACM Transactions on Graphics, 21, 4 (2002).
[56] G. Turk and J. F. O’Brien: “Shape transformation using variational implicit surfaces” SIGGRAPH, 335–342 (1999).
[57] A. H. Schoen: “Infinite periodic minimal surfaces without self-intersections” NASA Technical Note TN D-5541 (1970).
[58] F. R. Buckminster: “Synergetic building construction” US2986241A (1956).
[59] T. Yasui, Y. Matsuoka, T. Ohshima, K. Akiyoshi, and H. Tanaka: “3D Printing Lightweight Structures in Architectural Scale” International Association for Shell and Spatial Structures (2015).
[60] M. Wohlgemuth, N. Yufa, J. Hoffman, and E. L. Thomas: “Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries” Macromolecules 34, 6083-6089 (2001).
[61] 竹内雍: “多孔質体の性質とその応用技術” フジ・テクノシステム (1999).
[62] M. R. J. Scherer: “Double-Gyroid-Structured Functional Materials” Springer (2013).
[63] S. N. Khaderi, V. S. Deshpande, and N. A. Fleck: “The stiffness and strength of the gyroid lattice” International Journal of Solids and Structures 51, 23-24 (2014).
[64] L. J. Gibson and M. F. Ashby: “Cellular Solids: Structure and Properties” Cambridge University Press (1999).
[65] 株式会社ヒキフネ ホームページ: “http://www.hikifune.com” 株式会社ヒキフネ.
[66] Y. Zhao, K. Jung, Y. Shimoyama, Y. Shimogaki, and T. Momose: “Conformal bismuth titanate formation using supercritical fluid deposition” ECS Journal of Solid State Science and Technology 6, 483-488. (2017).
論文の公開元へ
