1. 复合材料多尺度建模与计算

[1] Hao Dong, Xiaofei Guan, Yufeng Nie. Higher-order multi-scale method for high-accuracy nonlinear thermo-mechanical simulation of heterogeneous shells，SIAM Journal of Scientific Computing，2025, 47(1): B190-B219.

[2] Hao Dong, Zongze Yang, Yufeng Nie, Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures,SIAM Multiscale Modeling & Simulation, 2025, 23(4): 1744-1772.

[3] Hao Dong, Xiaojing Zheng, Junzhi Cui, Yufeng Nie, Zhiqiang Yang, Qiang Ma, Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations, Computer Methods in Applied Mechanics and Engineering, 2019, 354: 143-180.

[4] Hao Dong, Zihao Yang, Xiaofei Guan, Junzhi Cui, Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis, Journal of Computational Physics, 2022，465: 111352.

[5] Hao Dong, Xiaojing Zheng, Junzhi Cui, Yufeng Nie, Zhiqiang Yang, Zihao Yang, Multiscale computational method for dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains, Journal of Scientific Computing, 2019, 79: 1630-1666.

[6] Hao Dong, Xiaojing Zheng, Junzhi Cui, Yufeng Nie, Zhiqiang Yang, Zihao Yang, High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales, International Journal of Solids and Structures, 2019, 169: 95-121.

[7] Hao Dong, Yufeng Nie, et al, The analysis and computation on nonlocal thermoelastic problems of blend composites via enriched second-order multi-scale computational method, Mathematics and Mechanics of Solids, 2023, 28(3): 795-832. 

[8] Hao Dong, Jie Shi, Jiale Linghu, Higher-order multi-scale computational approach and its convergence for nonlocal gradient elasticity problems of composite materials, Computers and Mathematics with Applications, 2024, 163: 66-83

2. 复合材料性能预测的小波-深度学习融合计算方法

[1] Hao Dong, Yufeng Nie, Junzhi Cui, Wenbo Kou, Minqiang Zou, Junyan Han, Xiaofei Guan, Zihao Yang, A wavelet-based learning approach assisted multiscale analysis for estimating the effective thermal conductivities of particulate composites, Computer Methods in Applied Mechanics and Engineering, 2021, 374: 113591.

[2] Jiale Linghu, Hao Dong^*, Junzhi Cui, Ensemble wavelet-learning approach for predicting the effective mechanical properties of concrete composite materials, Computational Mechanics, 2022，70: 335-365.

[3] Hao Dong, Jiale Linghu, Yufeng Nie,Integrated wavelet-learning method for macroscopic mechanical properties prediction of concrete composites with hierarchical random configurations. Composite Structures,2023, 304：116357.

[4] Jiale Linghu, Hao Dong*, et al. Self-optimization wavelet-learning method for predicting nonlinear thermal conductivity of highly heterogeneous materials with randomly hierarchical configurations, Computer Physics Communications, 2024, 295: 108969.

[5] Hao Dong, Wenbo Kou, Junyan Han, Jiale Linghu, Minqiang Zou, Junzhi Cui, A mixed wavelet-learning method of predicting macroscopic effective heat transfer conductivities of braided composite materials. Communications in Computational Physics, 2022, 31(2): 593-625.

3. 高阶多尺度-神经网络耦合计算方法

[1] Jiale Linghu, Hao Dong*, Yufeng Nie, Junzhi Cui. Higher-order multi-scale deep Ritz method (HOMS-DRM) and its convergence analysis for    solving thermal transfer problems of composite materials, Computational Mechanics, 2025,75: 71-95.

[2] Jiale Linghu, Weifeng Gao, Hao Dong, Yufeng Nie. Higher-order multi-scale physics-informed neural network (HOMS-PINN) method for solving  elastic problems of authentic composite materials, Journal of Computational and Applied Mathematics，2025, 456: 116223.

[3] Jiale Linghu; Weifeng Gao∗, Hao Dong∗, Fei Wang, Yufeng Nie, Higher-order multi-scale physics-informed randomized neural network method for efficient and high-accuracy simulation of dynamic thermo-mechanical coupling problems, Mathematics and Mechanics of Solids, 2025: 10812865251362165.

[4] Jiale Linghu, Weifeng Gao∗, Hao Dong∗, Yufeng Nie. HOMS-NN: Higher-order multi-scale neural network for high-accuracy simulation of quasi-dynamic thermo-mechanical problems in composite materials, Applied mathematical modelling，2025，148：116232.