A review on data-driven constitutive laws for solids

JN Fuhg, G Anantha Padmanabha, N Bouklas… - … Methods in Engineering, 2024 - Springer
This review article highlights state-of-the-art data-driven techniques to discover, encode,
surrogate, or emulate constitutive laws that describe the path-independent and path …

Simple shear methodology for local structure–property relationships of sheet metals: State-of-the-art and open issues

G Han, J He, S Li, Z Lin - Progress in Materials Science, 2024 - Elsevier
Simple shear presents a local material structure–property relationship and plays an
important role in the development of material design, mechanical modeling, and …

[HTML][HTML] Automated discovery of generalized standard material models with EUCLID

M Flaschel, S Kumar, L De Lorenzis - Computer Methods in Applied …, 2023 - Elsevier
We extend the scope of our recently developed approach for unsupervised automated
discovery of material laws (denoted as EUCLID) to the general case of a material belonging …

[HTML][HTML] NN-EUCLID: Deep-learning hyperelasticity without stress data

P Thakolkaran, A Joshi, Y Zheng, M Flaschel… - Journal of the …, 2022 - Elsevier
We propose a new approach for unsupervised learning of hyperelastic constitutive laws with
physics-consistent deep neural networks. In contrast to supervised learning, which assumes …

[HTML][HTML] Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning

K Linka, M Hillgärtner, KP Abdolazizi, RC Aydin… - Journal of …, 2021 - Elsevier
In this paper we introduce constitutive artificial neural networks (CANNs), a novel machine
learning architecture for data-driven modeling of the mechanical constitutive behavior of …

[HTML][HTML] Unsupervised discovery of interpretable hyperelastic constitutive laws

M Flaschel, S Kumar, L De Lorenzis - Computer Methods in Applied …, 2021 - Elsevier
We propose a new approach for data-driven automated discovery of isotropic hyperelastic
constitutive laws. The approach is unsupervised, ie, it requires no stress data but only …

Model-free data-driven inelasticity

R Eggersmann, T Kirchdoerfer, S Reese… - Computer Methods in …, 2019 - Elsevier
Abstract We extend the Data-Driven formulation of problems in elasticity of Kirchdoerfer and
Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems …

Data-driven multiscale modeling in mechanics

K Karapiperis, L Stainier, M Ortiz, JE Andrade - Journal of the Mechanics …, 2021 - Elsevier
Abstract We present a Data-Driven framework for multiscale mechanical analysis of
materials. The proposed framework relies on the Data-Driven formulation in mechanics …

Towards Material Testing 2.0. A review of test design for identification of constitutive parameters from full‐field measurements

F Pierron, M Grédiac - Strain, 2021 - Wiley Online Library
Full‐field optical measurements like digital image correlation or the grid method have
brought a paradigm shift in the experimental mechanics community. While inverse …

Discovering plasticity models without stress data

M Flaschel, S Kumar, L De Lorenzis - npj Computational Materials, 2022 - nature.com
We propose an approach for data-driven automated discovery of material laws, which we
call EUCLID (Efficient Unsupervised Constitutive Law Identification and Discovery), and we …