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 …

[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 …

Virtual, digital and hybrid twins: a new paradigm in data-based engineering and engineered data

F Chinesta, E Cueto, E Abisset-Chavanne… - … methods in engineering, 2020 - Springer
Engineering is evolving in the same way than society is doing. Nowadays, data is acquiring
a prominence never imagined. In the past, in the domain of materials, processes and …

Neural networks for constitutive modeling: From universal function approximators to advanced models and the integration of physics

J Dornheim, L Morand, HJ Nallani, D Helm - Archives of Computational …, 2024 - Springer
Analyzing and modeling the constitutive behavior of materials is a core area in materials
sciences and a prerequisite for conducting numerical simulations in which the material …

Automated constitutive modeling of isotropic hyperelasticity based on artificial neural networks

KA Kalina, L Linden, J Brummund, P Metsch… - Computational …, 2022 - Springer
Herein, an artificial neural network (ANN)-based approach for the efficient automated
modeling and simulation of isotropic hyperelastic solids is presented. Starting from a large …

Propagation of uncertainty in the mechanical and biological response of growing tissues using multi-fidelity Gaussian process regression

T Lee, I Bilionis, AB Tepole - Computer methods in applied mechanics and …, 2020 - Elsevier
A key feature of living tissues is their capacity to remodel and grow in response to
environmental cues. Within continuum mechanics, this process can be captured with the …

Measuring stress field without constitutive equation

M Dalémat, M Coret, A Leygue, E Verron - Mechanics of Materials, 2019 - Elsevier
The present paper proposes a coupled experimental-numerical protocol to measure
heterogeneous stress fields in a model-free framework. This work contributes to developing …

[HTML][HTML] Discrete data-adaptive approximation of hyperelastic energy functions

S Wiesheier, J Mergheim, P Steinmann - Computer Methods in Applied …, 2023 - Elsevier
Phenomenological constitutive modeling is prone to uncertainty and results in loss of
information as data coming from experiments are not used directly in calculations. Data …

Structural-Genome-Driven computing for composite structures

J Yang, R Xu, H Hu, Q Huang, W Huang - Composite Structures, 2019 - Elsevier
The aim of this work is to propose a new approach, named Structural-Genome-Driven (SGD)
computing, for composite structures, where the structural-genome database is collected …

Machine Learning in Computer Aided Engineering

FJ Montáns, E Cueto, KJ Bathe - Machine Learning in Modeling and …, 2023 - Springer
The extraordinary success of Machine Learning (ML) in many complex heuristic fields has
promoted its introduction in more analytical engineering fields, improving or substituting …