[1] RAJU K, TAY T E, TAN V B C. A review of the FE2 method for composites[J]. Multiscale and Multidisciplinary Modeling, Experiments and Design, 2017, 92: 1-24. [2] KANOUTÉ P, BOSO D P, CHABOCHE J L, et al. Multiscale methods for composites: a review[J]. Archives of Computational Methods in Engineering, 2009, 16: 31-75. [3] 陈玉丽, 马勇, 潘飞, 等. 多尺度复合材料力学研究进展[J]. 固体力学学报, 2018, 39(1): 1-68. [4] HA S K, XU L, ZHAO C, et al. Progressive failure prediction of short fiber reinforced composites using a multi-scale approach[J]. Journal of Composite Materials, 2018, 52: 3785-3801. [5] 黄俊想, 阮洪势, 陈娟娟, 等. 多孔材料微态多尺度计算方法的数值实现与应用[J]. 固体力学学报, 2023, 44(5): 637-647. [6] TAN V B C, RAJU K, LEE H P, et al. Direct FE2 for concurrent multilevel modelling of heterogeneous structures[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 360: 112694. [7] ZHI J, YANG B, LI Y, et al. Multiscale thermo-mechanical analysis of cure-induced deformation in composite laminates using direct FE2[J]. Composites Part A: Applied Science and Manufacturing, 2023, 173: 107704. [8] CHRISTOFF B G, ALMEIDA JR J H S, RIBEIRO M L, et al. Multiscale modelling of composite laminates with voids through the direct FE2 method[J]. Theoretical and Applied Fracture Mechanics,2024, 131: 104424. [9] XU J H, LI P, POH L H, et al. Direct FE2 for concurrent multilevel modeling of heterogeneous thin plate structures[J]. Computer Methods in Applied Mechanics and Engineering, 2022, 392: 114658. [10] 田志强, 李彦斌, 张培伟, 等. 复合材料层合板多尺度交互渐进损伤分析[J]. 工程力学, 2019, 36(12): 247-256. [11] SUN J, WANG A, CAI H N, et al. Multiscale progressive damage model for plain woven composites[J]. International Journal of Mechanical Sciences, 2023, 259: 108604. [12] 龙玲, 王晓芳, 张楠, 等. 拉伸载荷下正交三向机织复合材料接头失效多尺度渐进损伤分析[J]. 宇航材料工艺, 2023, 53(3): 43-47. [13] 贺丹, 冯晨辉, 常鑫. 基于多纤维RVE和聚类分析的低温复合材料贮箱跨尺度计算[J]. 沈阳航空航天大学学报, 2024, 41(4): 1-10. [14] 马鹏辉, 胡殿印, 刘茜, 等. 基于数据驱动的纤维增强复合材料高效多尺度损伤分析方法[J]. 航空动力学报, 2025: 40(7): 80-91. [15] POH L H, SUN G. Localizing gradient damage model with decreasing interactions[J]. International Journal for Numerical Methods in Engineering, 2017, 110: 503-522. [16] ZHANG Y, XU Y J, WANG Y H, et al. A simple implementation of localizing gradient damage model in ABAQUS[J]. International Journal of Damage Mechanics, 2022, 31(10): 1562-1591. [17] SARKAR S, SINGH I V, MISHRA B K, et al. A comparative study and ABAQUS implementation of conventional and localizing gradient enhanced damage models[J]. Finite Elements in Analysis and Design, 2019, 160: 1-31. [18] DE VREE J H P, BREKELMANSW A M, VAN GILS M A J. Comparison of nonlocal approaches in continuum damage mechanics[J]. Computers & Structures, 1995, 55(4): 581-588. [19] 许灿, 朱平, 刘钊, 等. 平纹机织碳纤维复合材料的多尺度随机力学性能预测研究[J]. 力学学报, 2020, 52(3): 763-773. |