Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics
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 …
experimental data has recently re-emerged with the progress in full-field measurement …
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 …
Deep learning in computational mechanics: a review
L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
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 …
Automated model discovery for human brain using constitutive artificial neural networks
The brain is our softest and most vulnerable organ, and understanding its physics is a
challenging but significant task. Throughout the past decade, numerous competing models …
challenging but significant task. Throughout the past decade, numerous competing models …
Discovering a reaction–diffusion model for Alzheimer's disease by combining PINNs with symbolic regression
Misfolded tau proteins play a critical role in the progression and pathology of Alzheimer's
disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a …
disease. Recent studies suggest that the spatio-temporal pattern of misfolded tau follows a …
On automated model discovery and a universal material subroutine for hyperelastic materials
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 …
finite element analysis, the constitutive model is encoded in the material subroutine, a …
Benchmarking physics-informed frameworks for data-driven hyperelasticity
Data-driven methods have changed the way we understand and model materials. However,
while providing unmatched flexibility, these methods have limitations such as reduced …
while providing unmatched flexibility, these methods have limitations such as reduced …
Automated model discovery for skin: Discovering the best model, data, and experiment
Choosing the best constitutive model and the right set of model parameters is at the heart of
continuum mechanics. For decades, the gold standard in constitutive modeling has been to …
continuum mechanics. For decades, the gold standard in constitutive modeling has been to …
Automated model discovery for muscle using constitutive recurrent neural networks
The stiffness of soft biological tissues not only depends on the applied deformation, but also
on the deformation rate. To model this type of behavior, traditional approaches select a …
on the deformation rate. To model this type of behavior, traditional approaches select a …
[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 …