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Multi-resolution Topology Optimization Method for Composite Structures with In-plane Periodicity
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Yinkang Zou, Shaohua Li, Wenke Qiu**, Liang Xia***
Chinese Journal of Solid Mechanics | 2024, 45(4) : 533 - 546
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Chinese Journal of Solid Mechanics | 2024, 45(4): 533-546
Research Paper
Multi-resolution Topology Optimization Method for Composite Structures with In-plane Periodicity
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Yinkang Zou, Shaohua Li, Wenke Qiu**, Liang Xia***
Affiliations
  • State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074
Published: 2024-08-25 doi: 10.19636/j.cnki.cjsm42-1250/o3.2024.015
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At a microscopic level, composite materials exhibit intricate structural designs, necessitating detailed finite element mesh discretization for their analysis and design, leading to extensive computational demands. While the in-plane periodic structure, a typical composite structure, can sustain various directional forces at a macroscopic level, defining its performance remains challenging and its design and analysis are complex. This paper introduces a method for optimizing the topology of in-plane periodic structures based on thick plate theory and a multi-resolution meshing strategy. Initially, a coarse mesh is used to distinguish between macro and micro configurations, address the micro boundary value problem, and perform a similar analysis of the mechanical characteristics of the irregular single cell; subsequently, the macroscopic boundary value problems are solved using uniform equivalent properties, and a fine mesh is employed to revise the design variables and chart the density variables. It is found that assuming a thick plate that accounts for out-of-plane shear deformation makes the two-scale topology optimization design closer to real load-bearing scenarios. Employing a multi-resolution meshing strategy circumvents the issue of limited solvable problem size caused by excessive finite element computation, while maintaining the resolution of the optimized configuration.

in-plane periodic structures  /  thick plate theory  /  multi-resolution mesh  /  two-scale topology optimization
Yinkang Zou, Shaohua Li, Wenke Qiu, Liang Xia. Multi-resolution Topology Optimization Method for Composite Structures with In-plane Periodicity[J]. Chinese Journal of Solid Mechanics, 2024 , 45 (4) : 533 -546 . DOI: 10.19636/j.cnki.cjsm42-1250/o3.2024.015
Year 2024 volume 45 Issue 4
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doi: 10.19636/j.cnki.cjsm42-1250/o3.2024.015
  • Receive Date:2024-04-15
  • Online Date:2026-04-01
  • Published:2024-08-25
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  • Received:2024-04-15
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    State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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