References
- Allaire, Grégoire, François Jouve, and Anca-Maria Toader. 2004. “Structural Optimization Using Sensitivity Analysis and a Level-Set Method.” Journal of Computational Physics 194 (1): 363–393. doi:10.1016/j.jcp.2003.09.032
- Bendsøe, Martin Philip, and Noboru Kikuchi. 1988. “Generating Optimal Topologies in Structural Design Using a Homogenization Method.” Computer Methods in Applied Mechanics and Engineering 71 (2): 197–224. doi:10.1016/0045-7825(88)90086-2
- Clausen, Anders, Niels Aage, and Ole Sigmund. 2015. “Topology Optimization of Coated Structures and Material Interface Problems.” Computer Methods in Applied Mechanics and Engineering 290: 524–541. doi:10.1016/j.cma.2015.02.011
- Clausen, Anders, Niels Aage, and Ole Sigmund. 2016. “Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load.” Engineering 2 (2): 250–257. doi:10.1016/J.ENG.2016.02.006
- Fu, Junjian, Hao Li, Liang Gao, and Mi Xiao. 2019. “Design of Shell-Infill Structures by a Multiscale Level Set Topology Optimization Method.” Computers & Structures 212: 162–172. doi:10.1016/j.compstruc.2018.10.006
- Fu, Junjian, Hao Li, Mi Xiao, Liang Gao, and Sheng Chu. 2019. “Topology Optimization of Shell-Infill Structures Using a Distance Regularized Parametric Level-Set Method.” Structural and Multidisciplinary Optimization 59 (1): 249–262. doi:10.1007/s00158-018-2064-6
- Gao, Xingjun, Lijuan Li, and Haitao Ma. 2017. “An Adaptive Continuation Method for Topology Optimization of Continuum Structures Considering Buckling Constraints.” International Journal of Applied Mechanics 9 (7): Article ID 1750092. doi:10.1142/S1758825117500922
- Guest, J. K., J. H. Prévost, and T. Belytschko. 2014. “Achieving Minimum Length Scale in Topology Optimization Using Nodal Design Variables and Projection Functions.” International Journal for Numerical Methods in Engineering 61 (2): 238–254. doi:10.1002/nme.1064
- Hashin, Z., and S. Shtrikman. 1963. “A Variational Approach to the Theory of the Elastic Behaviour of Multiphase Materials.” Journal of the Mechanics and Physics of Solids 11 (2): 127–140. doi:10.1016/0022-5096(63)90060-7
- Kawamoto, Atsushi, Tadayoshi Matsumori, Shintaro Yamasaki, Tsuyoshi Nomura, Tsuguo Kondoh, and Shinji Nishiwaki. 2011. “Heaviside Projection Based Topology Optimization by a PDE-Filtered Scalar Function.” Structural and Multidisciplinary Optimization 44 (1): 19–24. doi:10.1007/s00158-010-0562-2
- Lazarov, B. S., and O. Sigmund. 2011. “Filters in Topology Optimization Based on Helmholtz-Type Differential Equations.” International Journal for Numerical Methods in Engineering 86 (6): 765–781. doi:10.1002/nme.3072
- Li, Lei, and Kapil Khandelwal. 2015. “Volume Preserving Projection Filters and Continuation Methods in Topology Optimization.” Engineering Structures 85: 144–161. doi:10.1016/j.engstruct.2014.10.052
- Liu, Shutian, Quhao Li, Junhuan Liu, Wenjiong Chen, and Yongcun Zhang. 2018. “A Realization Method for Transforming a Topology Optimization Design Into Additive Manufacturing Structures.” Engineering 4 (2): 277–285. doi:10.1016/j.eng.2017.09.002
- Lu, Lin, Andrei Sharf, Haisen Zhao, Yuan Wei, Qingnan Fan, Xuelin Chen, Yann Savoye, et al. 2014. “Build-to-Last: Strength to Weight 3D Printed Objects.” ACM SIGGRAPH 33 (4): 97:1–97:10. https://homes.cs.washington.edu/haisen/BuildtoLast/index.html
- Møller, Per, and Lars Pleth Nielsen. 2013. Advanced Surface Technology: A Holistic View on the Extensive and Intertwined World of Applied Surface Engineering. Washington, DC: Møller & Nielsen; NASF.
- Peng, Xiang, Tianji Wu, Jiquan Li, Shaofei Jiang, Chan Qiu, and Bing Yi. 2018. “Hybrid Reliability Analysis with Uncertain Statistical Variables, Sparse Variables and Interval Variables.” Engineering Optimization 50 (8): 1347–1363. doi:10.1080/0305215X.2017.1400025
- Rojas-Labanda, Susana, and Mathias Stolpe. 2015. “Automatic Penalty Continuation in Structural Topology Optimization.” Structural and Multidisciplinary Optimization 52 (06): 1205–1221. doi:10.1007/s00158-015-1277-1
- Schaedler, T. A., A. J. Jacobsen, A. Torrents, A. E. Sorensen, J. Lian, J. R. Greer, L. Valdevit, and W. B. Carter. 2011. “Ultralight Metallic Microlattices.” Science 334 (6058): 962–965. doi:10.1126/science.1211649
- Shchukin, Dmitry, and Helmuth Möhwald. 2013. “A Coat of Many Functions.” Science 341 (6153): 1458–1459. doi:10.1126/science.1242895
- Sigmund, Ole, and Kurt Maute. 2013. “Topology Optimization Approaches.” Structural and Multidisciplinary Optimization 48 (6): 1031–1055. doi:10.1007/s00158-013-0978-6
- Svanberg, Krister. 1987. “The Method of Moving Asymptotes—A New Method for Structural Optimization.” International Journal for Numerical Methods in Engineering 24 (2): 359–373. doi:10.1002/nme.1620240207
- Syed, A. M. Tofail, Elias P. Koumoulos, Amit Bandyopadhyay, Susmita Bose, Lisa O'Donoghue, and Costas Charitidis. 2018. “Additive Manufacturing: Scientific and Technological Challenges, Market Uptake and Opportunities.” Materials Today 21 (1): 22–37. doi:10.1016/j.mattod.2017.07.001
- Wang, Yu, Dezheng Hu, Hailin Wang, Tinghao Zhang, and Hao Yan. 2020. “Practical Design Optimization of Cellular Structures for Additive Manufacturing.” Engineering Optimization 52 (11): 1887–1902. doi:10.1080/0305215X.2019.1696785
- Wang, Yaguang, and Zhan Kang. 2018. “A Level Set Method for Shape and Topology Optimization of Coated Structures.” Computer Methods in Applied Mechanics and Engineering 329: 553–574. doi:10.1016/j.cma.2017.09.017
- Wang, Fengwen, Boyan Stefanov Lazarov, and Ole Sigmund. 2011. “On Projection Methods, Convergence and Robust Formulations in Topology Optimization.” Structural and Multidisciplinary Optimization 43 (6): 767–784. doi:10.1007/s00158-010-0602-y
- Wang, Michael Yu, Xiaoming Wang, and Dongming Guo. 2003. “A Level Set Method for Structural Topology Optimization.” Computer Methods in Applied Mechanics and Engineering 192 (1): 227–246. doi:10.1016/S0045-7825(02)00559-5
- Wang, Weiming, Tuanfeng Y. Wang, Zhouwang Yang, Ligang Liu, Xin Tong, Weihua Tong, Jiansong Deng, et al. 2013. “Cost-Effective Printing of 3D Objects with Skin–Frame Structures.” ACM Transactions on Graphics 32 (6): Article No. 177. doi:10.1145/2508363.2508382
- Wu, Jun, Niels Aage, R. Westermann, and Ole Sigmund. 2018. “Infill Optimization for Additive Manufacturing—Approaching Bone-Like Porous Structures.” IEEE Transactions on Visualization and Computer Graphics 24 (2): 1127–1140. doi:10.1109/TVCG.2017.2655523
- Wu, Jun, Anders Clausen, and Ole Sigmund. 2017. “Minimum Compliance Topology Optimization of Shell-Infill Composites for Additive Manufacturing.” Computer Methods in Applied Mechanics and Engineering 326: 358–375. doi:10.1016/j.cma.2017.08.018
- Xie, Y. M., and G. P. Steven. 1993. “A Simple Evolutionary Procedure for Structural Optimization.” Computers & Structures 49 (5): 885–896. doi:10.1016/0045-7949(93)90035-C
- Yi, Bing, Yuqing Zhou, Gil Ho Yoon, and Kazuhiro Saitou. 2019. “Topology Optimization of Functionally-Graded Lattice Structures with Buckling Constraints.” Computer Methods in Applied Mechanics and Engineering 354: 593–619. doi:10.1016/j.cma.2019.05.055
- Yoon, Gil Ho, and Yoon Young Kim. 2003. “The Role of S-Shape Mapping Functions in the SIMP Approach for Topology Optimization.” KSME International Journal 17 (10): 1496–1506. doi:10.1007/BF02982329
- Yoon, Gil Ho, and Bing Yi. 2019. “A New Coating Filter of Coated Structure for Topology Optimization.” Structural and Multidisciplinary Optimization 60: 1527–1544. doi:10.1007/s00158-019-02279-7