[1]
|
ZHU J H, ZHOU H, WANG C, et al. A review of topology optimization for additive manufacturing: status and challenges[J]. Chinese Journal of Aeronautics, 2021, 34(1): 91-110 doi: 10.1016/j.cja.2020.09.020
|
[2]
|
WU J, SIGMUND O, GROEN J P. Topology optimization of multi-scale structures: a review[J]. Structural and Multidisciplinary Optimization, 2021, 63(3): 1455-1480 doi: 10.1007/s00158-021-02881-8
|
[3]
|
XIA L, BREITKOPF P. Recent advances on topology optimization of multiscale nonlinear structures[J]. Archives of Computational Methods in Engineering, 2017, 24(2): 227-249 doi: 10.1007/s11831-016-9170-7
|
[4]
|
肖人彬, 张彪, 吴紫俊. 面向增材制造的宏微结构一体化设计方法[J]. 河北工业大学学报, 2021, 50(4): 1-9 + 16XIAO R B, ZHANG B, WU Z J. Integrated design method for multiscale structure in additive manufacturing[J]. Journal of Hebei University of Technology, 2021, 50(4): 1-9 + 16 (in Chinese)
|
[5]
|
张卫红, 徐仕杰, 朱继宏. 循环对称结构的多尺度拓扑优化方法[J]. 计算力学学报, 2021, 38(4): 512-522 doi: 10.7511/jslx20210527413ZHANG W H, XU S J, ZHU J H. Multi-scale topology optimization method for cyclic symmetric structures[J]. Chinese Journal of Computational Mechanics, 2021, 38(4): 512-522 (in Chinese) doi: 10.7511/jslx20210527413
|
[6]
|
阎军, 邓佳东, 程耿东. 基于柔顺性与热变形双目标的多孔材料与结构几何多尺度优化设计[J]. 固体力学学报, 2011, 32(2): 119-132YAN J, DENG J D, CHENG G D. Multi geometrical scale optimization for porous structure and material with multi-objective of structural compliance and thermal deformation[J]. Chinese Journal of Solid Mechanics, 2011, 32(2): 119-132 (in Chinese)
|
[7]
|
RODRIGUES H, GUEDES J M, BENDSOE M P. Hierarchical optimization of material and structure[J]. Structural and Multidisciplinary Optimization, 2002, 24(1): 1-10 doi: 10.1007/s00158-002-0209-z
|
[8]
|
COELHO P G, FERNANDES P R, GUEDES J M, et al. A hierarchical model for concurrent material and topology optimisation of three-dimensional structures[J]. Structural and Multidisciplinary Optimization, 2008, 35(2): 107-115 doi: 10.1007/s00158-007-0141-3
|
[9]
|
LIU L, YAN J, CHENG G D. Optimum structure with homogeneous optimum truss-like material[J]. Computers & Structures, 2008, 86(13-14): 1417-1425
|
[10]
|
CHEN W J, TONG L Y, LIU S T. Concurrent topology design of structure and material using a two-scale topology optimization[J]. Computers & Structures, 2017, 178: 119-128
|
[11]
|
XIA L, BREITKOPF P. Concurrent topology optimization design of material and structure within FE2 nonlinear multiscale analysis framework[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 278: 524-542 doi: 10.1016/j.cma.2014.05.022
|
[12]
|
XIA L, BREITKOPF P. Multiscale structural topology optimization with an approximate constitutive model for local material microstructure[J]. Computer Methods in Applied Mechanics and Engineering, 2015, 286: 147-167 doi: 10.1016/j.cma.2014.12.018
|
[13]
|
WANG C, ZHU J H, ZHANG W H, et al. Concurrent topology optimization design of structures and non-uniform parameterized lattice microstructures[J]. Structural and Multidisciplinary Optimization, 2018, 58(1): 35-50 doi: 10.1007/s00158-018-2009-0
|
[14]
|
WANG C, GU X J, ZHU J H, et al. Concurrent design of hierarchical structures with three-dimensional parameterized lattice microstructures for additive manufacturing[J]. Structural and Multidisciplinary Optimization, 2020, 61(3): 869-894 doi: 10.1007/s00158-019-02408-2
|
[15]
|
ZHOU H, ZHU J H, WANG C, et al. Hierarchical structure optimization with parameterized lattice and multiscale finite element method[J]. Structural and Multidisciplinary Optimization, 2022, 65(1): 39 doi: 10.1007/s00158-021-03149-x
|