Finite electro-elasticity with physics-augmented neural networks

DK Klein, R Ortigosa, J Martínez-Frutos… - Computer Methods in …, 2022 - Elsevier
In the present work, a machine learning based constitutive model for electro-mechanically
coupled material behavior at finite deformations is proposed. Using different sets of …

Hybrid modeling: towards the next level of scientific computing in engineering

S Kurz, H De Gersem, A Galetzka, A Klaedtke… - Journal of Mathematics …, 2022 - Springer
The integration of machine learning (Keplerian paradigm) and more general artificial
intelligence technologies with physical modeling based on first principles (Newtonian …

A data-driven approach for instability analysis of thin composite structures

X Bai, J Yang, W Yan, Q Huang, S Belouettar… - Computers & Structures, 2022 - Elsevier
This paper aims to propose a data-driven computing algorithm integrated with model
reduction technique to conduct instability analysis of thin composite structures. The data …

A database construction method for data-driven computational mechanics of composites

L Li, Q Shao, Y Yang, Z Kuang, W Yan, J Yang… - International Journal of …, 2023 - Elsevier
A new method combining computational homogenization and the Artificial Neural Network
(ANN) is proposed to construct elastoplastic composites database efficiently for data-driven …

Data-driven computing for nonlinear problems of composite structures based on sub-domain search technique

Z Kuang, W Yan, K Yu, R Xu, L Li, Q Huang… - Computers & …, 2023 - Elsevier
The distance-minimizing data-driven algorithm brings new insight in computing nonlinear
problems of composite structures, where the calculation is directly carried out by finding the …

Model-free data-driven simulation of inelastic materials using structured data sets, tangent space information and transition rules

K Ciftci, K Hackl - Computational Mechanics, 2022 - Springer
Abstract Model-free data-driven computational mechanics replaces phenomenological
constitutive functions by numerical simulations based on data sets of representative samples …

Data-driven computational framework for snap-through problems

Z Kuang, X Bai, Q Huang, J Yang, W Huang… - International Journal of …, 2023 - Elsevier
The distance-minimizing data-driven computing is an emerging field of computational
mechanics, which reformulates the classical boundary-value problem as a discrete …

[HTML][HTML] Error approximation and bias correction in dynamic problems using a recurrent neural network/finite element hybrid model

M von Tresckow, H De Gersem, D Loukrezis - Applied Mathematical …, 2024 - Elsevier
This work proposes a hybrid modeling framework based on recurrent neural networks
(RNNs) and the finite element (FE) method to approximate model discrepancies in time …

Hybrid modeling design patterns

M Rudolph, S Kurz, B Rakitsch - Journal of Mathematics in Industry, 2024 - Springer
Abstract Design patterns provide a systematic way to convey solutions to recurring modeling
challenges. This paper introduces design patterns for hybrid modeling, an approach that …

Tangent space Data Driven framework for elasto-plastic material behaviors

DKN Pham, N Blal, A Gravouil - Finite Elements in Analysis and Design, 2023 - Elsevier
This paper describes the use of the new paradigm Model-Free Data Driven Computational
Mechanics for solving elasto-plastic evolutionary problem. A data driven, variational …