PSI - Issue 80

Haolin Li et al. / Procedia Structural Integrity 80 (2026) 23–30 Author name / Structural Integrity Procedia 00 (2023) 000–000

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Bing Yu et al. The deep ritz method: a deep learning-based numerical algorithm for solving variational problems. Communications in Mathematics and Statistics , 6(1):1–12, 2018. Ameya D Jagtap and George Em Karniadakis. Extended physics-informed neural networks (xpinns): A generalized space-time domain decompo sition based deep learning framework for nonlinear partial di ff erential equations. Communications in Computational Physics , 28(5), 2020. Jiaji Wang, YL Mo, Bassam Izzuddin, and Chul-Woo Kim. Exact dirichlet boundary physics-informed neural network epinn for solid mechanics. Computer Methods in Applied Mechanics and Engineering , 414:116184, 2023. Haolin Li, Yuyang Miao, Zahra Sharif Khodaei, and MH Aliabadi. Finite-pinn: A physics-informed neural network architecture for solving solid mechanics problems with general geometries. Available at SSRN 5066837 , 2024. Nicolas Charalambakis. Homogenization techniques and micromechanics. a survey and perspectives. Applied Mechanics Reviews , 63(3), 2010. Haolin Li, Zahra Sharif Khodaei, and MH Ferri Aliabadi. Fft-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure. Computer Methods in Applied Mechanics and Engineering , 416:116369, 2023a. Haolin Li, Zahra Sharif Khodaei, and MH Ferri Aliabadi. Multiscale modelling of material degradation and failure in plain woven composites: A novel approach for reliable predictions enabled by meta-models. Composites Science and Technology , 233:109910, 2023b. Haolin Li, Omar Bacarreza, Zahra Sharif Khodaei, and MH Ferri Aliabadi. Probabilistic multi-scale design of 2d plain woven composites consid ering meso-scale uncertainties. Composite Structures , 300:116099, 2022. Haolin Li, Zahra Sharif Khodaei, and MH Aliabadi. Fft-based homogenisation for e ffi cient concurrent multiscale modelling of thin plate structures. Computational Mechanics , 75(2):637–653, 2025.

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