Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics

U Römer, S Hartmann, JA Tröger… - Applied …, 2024 - asmedigitalcollection.asme.org
In the framework of solid mechanics, the task of deriving material parameters from
experimental data has recently re-emerged with the progress in full-field measurement …

[HTML][HTML] Thermodynamics of learning physical phenomena

E Cueto, F Chinesta - Archives of Computational Methods in Engineering, 2023 - Springer
Thermodynamics could be seen as an expression of physics at a high epistemic level. As
such, its potential as an inductive bias to help machine learning procedures attain accurate …

On automated model discovery and a universal material subroutine for hyperelastic materials

M Peirlinck, K Linka, JA Hurtado, E Kuhl - Computer Methods in Applied …, 2024 - Elsevier
Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …

Benchmarking physics-informed frameworks for data-driven hyperelasticity

V Taç, K Linka, F Sahli-Costabal, E Kuhl… - Computational …, 2024 - Springer
Data-driven methods have changed the way we understand and model materials. However,
while providing unmatched flexibility, these methods have limitations such as reduced …

[HTML][HTML] Automated identification of linear viscoelastic constitutive laws with EUCLID

E Marino, M Flaschel, S Kumar, L De Lorenzis - Mechanics of Materials, 2023 - Elsevier
We extend EUCLID, a computational strategy for automated material model discovery and
identification, to linear viscoelasticity. For this case, we perform a priori model selection by …

[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria

KA Kalina, P Gebhart, J Brummund, L Linden… - Computer Methods in …, 2024 - Elsevier
We present a framework for the multiscale modeling of finite strain magneto-elasticity based
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …

Data-driven anisotropic finite viscoelasticity using neural ordinary differential equations

V Taç, MK Rausch, FS Costabal, AB Tepole - Computer methods in applied …, 2023 - Elsevier
We develop a fully data-driven model of anisotropic finite viscoelasticity using neural
ordinary differential equations as building blocks. We replace the Helmholtz free energy …

Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics

JN Fuhg, RE Jones, N Bouklas - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Data-driven constitutive modeling with neural networks has received increased interest in
recent years due to its ability to easily incorporate physical and mechanistic constraints and …

[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 …

Spiking recurrent neural networks for neuromorphic computing in nonlinear structural mechanics

SB Tandale, M Stoffel - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
The present study aims to introduce an AI algorithm suitable for neuromorphic computing to
solve Boundary Value Problems in Engineering Mechanics. Following the trend of …