Physics-informed Neural Networks (PINN) for computational solid mechanics: Numerical frameworks and applications

H Hu, L Qi, X Chao - Thin-Walled Structures, 2024 - Elsevier
For solving the computational solid mechanics problems, despite significant advances have
been achieved through the numerical discretization of partial differential equations (PDEs) …

Deep learning in computational mechanics: a review

L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

Neural network-augmented differentiable finite element method for boundary value problems

X Wang, ZY Yin, W Wu, HH Zhu - International Journal of Mechanical …, 2025 - Elsevier
Classical numerical methods such as finite element method (FEM) face limitations due to
their low efficiency when addressing large-scale problems. As a novel paradigm, the physics …

Mechanics-informed, model-free symbolic regression framework for solving fracture problems

R Yi, D Georgiou, X Liu, CE Athanasiou - … of the Mechanics and Physics of …, 2025 - Elsevier
Data-driven methods have recently been introduced to address complex mechanics
problems. While model-based, data-driven approaches are predominantly used, they often …

Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance

P Pantidis, H Eldababy, CM Tagle… - Computer Methods in …, 2023 - Elsevier
In our recently proposed Integrated Finite Element Neural Network (I-FENN) framework
(Pantidis and Mobasher, 2023) we showcased how PINNs can be deployed on a finite …

[HTML][HTML] Variational temporal convolutional networks for I-FENN thermoelasticity

DW Abueidda, ME Mobasher - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Abstract Machine learning (ML) has been used to solve multiphysics problems like
thermoelasticity through multi-layer perceptron (MLP) networks. However, MLPs have high …

[HTML][HTML] Nature's Load-Bearing Design Principles and Their Application in Engineering: A Review

F Breish, C Hamm, S Andresen - Biomimetics, 2024 - mdpi.com
Biological structures optimized through natural selection provide valuable insights for
engineering load-bearing components. This paper reviews six key strategies evolved in …

Automatic boundary fitting framework of boundary dependent physics-informed neural network solving partial differential equation with complex boundary conditions

Y **e, Y Ma, Y Wang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
The physics-informed neural network (PINN) has received much attention in the field of
partial differential equation (PDE) solving due to its adaptability to different governing …

Finite element-integrated neural network for inverse analysis of elastic and elastoplastic boundary value problems

K Xu, N Zhang, ZY Yin, K Li - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
Inverse analysis of material parameters and load conditions are crucial in boundary value
problems, which are always challenging and time-consuming for existing numerical …

A machine learning-based viscoelastic–viscoplastic model for epoxy nanocomposites with moisture content

B Bahtiri, B Arash, S Scheffler, M Jux… - Computer Methods in …, 2023 - Elsevier
In this work, we propose a deep learning (DL)-based constitutive model for investigating the
cyclic viscoelastic-viscoplastic-damage behavior of nanoparticle/epoxy nanocomposites …