Deep learning in computational mechanics: a review
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …
Neural networks meet hyperelasticity: A guide to enforcing physics
In the present work, a hyperelastic constitutive model based on neural networks is proposed
which fulfills all common constitutive conditions by construction, and in particular, is …
which fulfills all common constitutive conditions by construction, and in particular, is …
[HTML][HTML] Automated discovery of generalized standard material models with EUCLID
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 …
discovery of material laws (denoted as EUCLID) to the general case of a material belonging …
FE: an efficient data-driven multiscale approach based on physics-constrained neural networks and automated data mining
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) …
on two main keystones: the usage of physics-constrained artificial neural networks (ANNs) …
[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria
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 …
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …
Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics
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 …
recent years due to its ability to easily incorporate physical and mechanistic constraints and …
A comparative study on different neural network architectures to model inelasticity
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 …
inelastic, behavior of materials is a challenging task and has been a focus in mechanics …
[HTML][HTML] Viscoelastic constitutive artificial neural networks (vCANNs)–A framework for data-driven anisotropic nonlinear finite viscoelasticity
The constitutive behavior of polymeric materials is often modeled by finite linear viscoelastic
(FLV) or quasi-linear viscoelastic (QLV) models. These popular models are simplifications …
(FLV) or quasi-linear viscoelastic (QLV) models. These popular models are simplifications …
[HTML][HTML] Physics-augmented neural networks for constitutive modeling of hyperelastic geometrically exact beams
JO Schommartz, DK Klein, JCA Cobo… - Computer Methods in …, 2025 - Elsevier
We present neural network-based constitutive models for hyperelastic geometrically exact
beams. The proposed models are physics-augmented, ie, formulated to fulfill important …
beams. The proposed models are physics-augmented, ie, formulated to fulfill important …
Multiscale modeling of functionally graded shell lattice metamaterials for additive manufacturing
In this work, an experimentally validated multiscale modeling framework for additively
manufactured shell lattice structures with graded parameters is introduced. It is exemplified …
manufactured shell lattice structures with graded parameters is introduced. It is exemplified …