[HTML][HTML] Discovering uncertainty: Bayesian constitutive artificial neural networks

K Linka, GA Holzapfel, E Kuhl - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Understanding uncertainty is critical, especially when data are sparse and variations are
large. Bayesian neural networks offer a powerful strategy to build predictable models from …

[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 …

[HTML][HTML] I too I2: A new class of hyperelastic isotropic incompressible models based solely on the second invariant

E Kuhl, A Goriely - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
In contemporary elasticity theory, the strain–energy function predominantly relies on the first
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …

The mechanical and sensory signature of plant-based and animal meat

SR St. Pierre, EC Darwin, D Adil, MC Aviles… - npj Science of …, 2024 - nature.com
Eating less meat is associated with a healthier body and planet. Yet, we remain reluctant to
switch to a plant-based diet, largely due to the sensory experience of plant-based meat …

[HTML][HTML] Neural networks meet anisotropic hyperelasticity: A framework based on generalized structure tensors and isotropic tensor functions

KA Kalina, J Brummund, WC Sun, M Kästner - Computer Methods in …, 2025 - Elsevier
We present a data-driven framework for the multiscale modeling of anisotropic finite strain
elasticity based on physics-augmented neural networks (PANNs). Our approach allows the …

[HTML][HTML] Automated model discovery for human cardiac tissue: Discovering the best model and parameters

D Martonová, M Peirlinck, K Linka, GA Holzapfel… - Computer Methods in …, 2024 - Elsevier
For more than half a century, scientists have developed mathematical models to understand
the behavior of the human heart. Today, we have dozens of heart tissue models to choose …

[HTML][HTML] Automated model discovery for textile structures: The unique mechanical signature of warp knitted fabrics

JA McCulloch, E Kuhl - Acta Biomaterialia, 2024 - Elsevier
Textile fabrics have unique mechanical properties, which make them ideal candidates for
many engineering and medical applications: They are initially flexible, nonlinearly stiffening …

Democratizing biomedical simulation through automated model discovery and a universal material subroutine

M Peirlinck, K Linka, JA Hurtado, GA Holzapfel… - Computational …, 2024 - Springer
Personalized computational simulations have emerged as a vital tool to understand the
biomechanical factors of a disease, predict disease progression, and design personalized …

Accounting for plasticity: An extension of inelastic constitutive artificial neural networks

B Boes, JW Simon, H Holthusen - arXiv preprint arXiv:2407.19326, 2024 - arxiv.org
The class of Constitutive Artificial Neural Networks (CANNs) represents a new approach of
neural networks in the field of constitutive modeling. So far, CANNs have proven to be a …

[HTML][HTML] Best-in-class modeling: A novel strategy to discover constitutive models for soft matter systems

K Linka, E Kuhl - Extreme Mechanics Letters, 2024 - Elsevier
The ability to automatically discover interpretable mathematical models from data could
forever change how we model soft matter systems. For convex discovery problems with a …