FE: an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining

KA Kalina, L Linden, J Brummund, M Kästner - Computational Mechanics, 2023 - Springer
Herein, we present a new data-driven multiscale framework called FE ANN which is based
on two main keystones: the usage of physics-constrained artificial neural networks (ANNs) …

A thermodynamics-informed neural network for elastoplastic constitutive modeling of granular materials

MM Su, Y Yu, TH Chen, N Guo, ZX Yang - Computer Methods in Applied …, 2024 - Elsevier
Data-driven methods have emerged as a promising framework for material constitutive
modeling. However, traditional data-driven models are hindered by limitations arising from a …

Automated model discovery for muscle using constitutive recurrent neural networks

LM Wang, K Linka, E Kuhl - Journal of the Mechanical Behavior of …, 2023 - Elsevier
The stiffness of soft biological tissues not only depends on the applied deformation, but also
on the deformation rate. To model this type of behavior, traditional approaches select a …

A data-driven reduced-order surrogate model for entire elastoplastic simulations applied to representative volume elements

S Vijayaraghavan, L Wu, L Noels, SPA Bordas… - Scientific Reports, 2023 - nature.com
This contribution discusses surrogate models that emulate the solution field (s) in the entire
simulation domain. The surrogate uses the most characteristic modes of the solution field (s) …

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 …

Discovering interpretable elastoplasticity models via the neural polynomial method enabled symbolic regressions

B Bahmani, HS Suh, WC Sun - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Conventional neural network elastoplasticity models are often perceived as lacking
interpretability. This paper introduces a two-step machine learning approach that returns …

[HTML][HTML] A neural network-based enrichment of reproducing kernel approximation for modeling brittle fracture

J Baek, JS Chen - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Numerical modeling of localizations is a challenging task due to the evolving rough solution
in which the localization paths are not predefined. Despite decades of efforts, there is a need …

Transfer learning of recurrent neural network‐based plasticity models

JN Heidenreich, C Bonatti… - International Journal for …, 2024 - Wiley Online Library
Mechanics‐specific recurrent neural network (RNN) models are known for their ability to
describe the complex three‐dimensional stress–strain response of elasto‐plastic solids for …

LS-DYNA machine learning–based multiscale method for nonlinear modeling of short fiber–reinforced composites

H Wei, CT Wu, W Hu, TH Su, H Oura… - Journal of …, 2023 - ascelibrary.org
Short fiber–reinforced composites (SFRCs) are high-performance engineering materials for
lightweight structural applications in the automotive and electronics industries. Typically …

A neural kernel method for capturing multiscale high-dimensional micromorphic plasticity of materials with internal structures

Z Xiong, M Xiao, N Vlassis, WC Sun - Computer Methods in Applied …, 2023 - Elsevier
This paper introduces a neural kernel method to generate machine learning plasticity
models for micropolar and micromorphic materials that lack material symmetry and have …