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 …

A mechanics-informed deep learning framework for data-driven nonlinear viscoelasticity

F As'ad, C Farhat - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
A mechanics-informed, data-driven framework for learning the constitutive law of a nonlinear
viscoelastic material from stress–strain data using deep artificial neural networks (ANNs) is …

A comparative study on different neural network architectures to model inelasticity

M Rosenkranz, KA Kalina, J Brummund… - … Journal for Numerical …, 2023 - Wiley Online Library
The mathematical formulation of constitutive models to describe the path‐dependent, that is,
inelastic, behavior of materials is a challenging task and has been a focus in mechanics …

[HTML][HTML] Theory and implementation of inelastic constitutive artificial neural networks

H Holthusen, L Lamm, T Brepols, S Reese… - Computer Methods in …, 2024 - Elsevier
The two fundamental concepts of materials theory, pseudo potentials and the assumption of
a multiplicative decomposition, allow a general description of inelastic material behavior …

Viscoelasticty with physics-augmented neural networks: Model formulation and training methods without prescribed internal variables

M Rosenkranz, KA Kalina, J Brummund, WC Sun… - Computational …, 2024 - Springer
We present an approach for the data-driven modeling of nonlinear viscoelastic materials at
small strains which is based on physics-augmented neural networks (NNs) and requires …

[HTML][HTML] Automated discovery of interpretable hyperelastic material models for human brain tissue with EUCLID

M Flaschel, H Yu, N Reiter, J Hinrichsen… - Journal of the …, 2023 - Elsevier
We propose an automated computational algorithm for simultaneous model selection and
parameter identification for the hyperelastic mechanical characterization of biological tissue …

NN-EVP: A physics informed neural network-based elasto-viscoplastic framework for predictions of grain size-aware flow response

A Eghtesad, J Tan, JN Fuhg, N Bouklas - International Journal of Plasticity, 2024 - Elsevier
We propose a physics informed, neural network-based elasto-viscoplasticity (NN-EVP)
constitutive modeling framework for predicting the flow response in metals as a function of …

Parametrized polyconvex hyperelasticity with physics-augmented neural networks

DK Klein, FJ Roth, I Valizadeh… - Data-Centric Engineering, 2023 - cambridge.org
In the present work, neural networks are applied to formulate parametrized hyperelastic
constitutive models. The models fulfill all common mechanical conditions of hyperelasticity …

Automated Discovery of Material Models in Continuum Solid Mechanics

M Flaschel - 2023 - research-collection.ethz.ch
The mathematical description of the mechanical behavior of solid materials at the continuum
scale is one of the oldest and most challenging tasks in solid mechanics and material …