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) …
been achieved through the numerical discretization of partial differential equations (PDEs) …
Deep learning in computational mechanics: a review
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 …
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
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 …
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
Data-driven methods have recently been introduced to address complex mechanics
problems. While model-based, data-driven approaches are predominantly used, they often …
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
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 …
(Pantidis and Mobasher, 2023) we showcased how PINNs can be deployed on a finite …
[HTML][HTML] Variational temporal convolutional networks for I-FENN thermoelasticity
Abstract Machine learning (ML) has been used to solve multiphysics problems like
thermoelasticity through multi-layer perceptron (MLP) networks. However, MLPs have high …
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 …
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 …
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
Inverse analysis of material parameters and load conditions are crucial in boundary value
problems, which are always challenging and time-consuming for existing numerical …
problems, which are always challenging and time-consuming for existing numerical …
A machine learning-based viscoelastic–viscoplastic model for epoxy nanocomposites with moisture content
In this work, we propose a deep learning (DL)-based constitutive model for investigating the
cyclic viscoelastic-viscoplastic-damage behavior of nanoparticle/epoxy nanocomposites …
cyclic viscoelastic-viscoplastic-damage behavior of nanoparticle/epoxy nanocomposites …