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Reduced-Order Homogenization of Soft Composites Based on Clustering Analysis
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Xiaozhe Ju, Jinhua Liu, Lihua Liang, Yangjian Xu**
Chinese Journal of Solid Mechanics | 2025, 46(3) : 356 - 367
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Chinese Journal of Solid Mechanics | 2025, 46(3): 356-367
Research Papers
Reduced-Order Homogenization of Soft Composites Based on Clustering Analysis
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Xiaozhe Ju, Jinhua Liu, Lihua Liang, Yangjian Xu**
Affiliations
  • College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310023
Published: 2025-06-26 doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.004
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Soft composites exhibit significant potential in advanced engineering applications but face critical computational challenges due to their inherent heterogeneity and geometric nonlinearity. Traditional meso-scale finite element analysis suffers from low efficiency, rendering macro-meso coupled multiscale analysis impractical for real-world engineering scenarios. To address this limitation, this study develops a clustering-based reduced-order homogenization method that synergistically integrates reduced-order homogenization techniques with clustering analysis, achieving remarkable computational efficiency while maintaining sufficient accuracy. First, we establish a two-scale analysis framework for soft composites on the basis of finite deformation theory. On the meso-scale, an energy density function is used to describe the constitutive behavior of the micro constituents. Then, we perform clustering analysis on the microscale representative volume element (RVE) to partition it into uniform subdomains called clusters. The clustering analysis groups regions with similar mechanical behavior and thereby reduces the system's complexity and related computational cost. After that, proper orthogonal decomposition (POD) is employed to generate reduced bases for approximating the mesoscopic deformation gradient fields. An efficient sampling strategy is used for both snapshot generation and model validation. A clustered version of reduced-order model (CROM) is established based on the principle of minimum energy. Numerical examples demonstrate that the developed CROM can maintain a high level of accuracy while achieving a computational acceleration of about 104 compared to traditional finite element methods. A comparison to an existing clustering approach named self-consistent clustering analysis (SCA) is also given. Although the computational cost of the offline phase for the CROM is relatively high, the online analysis is rather fast. This significant improvement in efficiency makes the method highly suitable for problems that require frequent microscale RVE predictions, such as multiscale analysis or multiscale parameter identification. In conclusion, the developed CROM offers a promising and practical tool for engineers, which can be further applied in the design, optimization, and analysis of soft composites.

soft composites  /  reduced-order homogenization  /  clustering analysis  /  representative volume element (RVE)  /  finite deformations
Xiaozhe Ju, Jinhua Liu, Lihua Liang, Yangjian Xu. Reduced-Order Homogenization of Soft Composites Based on Clustering Analysis[J]. Chinese Journal of Solid Mechanics, 2025 , 46 (3) : 356 -367 . DOI: 10.19636/j.cnki.cjsm42-1250/o3.2025.004
Year 2025 volume 46 Issue 3
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doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.004
  • Receive Date:2025-03-05
  • Online Date:2026-03-20
  • Published:2025-06-26
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  • Received:2025-03-05
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    College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310023
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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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