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，Accepted.

[2] 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.

[3] 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.

[4] 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.

[5] 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.

[6] Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Second-order two-scale computational method for damped dynamic thermo-mechanical problems of quasi-periodic composite materials, Journal of Computational and Applied Mathematics, 2018, 343: 575–601.

[7] Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang, Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains, Computers and Mathematics with Applications, 2018, 76: 2549-2565.

[8] 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. 

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, https://doi.org/10.1007/s00466-024-02491-3.

[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.