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20182026
most citedNeural networks meet hyperelasticity: A guide to enforcing physics

172 citations · 486 across the 22 of their papers we have counts for

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13 papers · 1 filter

cs.CE2026

Calibration of neural viscoelastic models via full-field data

Brain M. Riemer, Markus Kästner, Karl A. Kalina

We propose an unsupervised learning framework for calibrating a physics-augmented neural network (PANN) for small-strain viscoelasticity via full-field data. It only requires quant…

cs.CE2026

On limitations of polyconvexity

Dominik K. Klein, Rogelio Ortigosa, Heinrich T. Roth +4

Polyconvex constitutive modeling is attractive as it guarantees stability of numerical simulations and can improve the generalization behavior of material models. However, in certa…

cs.CE2026

Advances in polyconvex anisotropic hyperelasticity

Dominik K. Klein, Karl A. Kalina, Rogelio Ortigosa +3

A key challenge in material theory is the formulation of models that satisfy all common mechanical constitutive conditions while retaining sufficient flexibility. In this context,…

cs.CE2025★ 1 cited

A physics-augmented neural network framework for finite strain incompressible viscoelasticity

Karl A. Kalina, Jörg Brummund, Markus Kästner

We propose a physics-augmented neural network (PANN) framework for finite strain incompressible viscoelasticity within the generalized standard materials theory. The formulation is…

cs.CE2025

A data-driven multiscale scheme for anisotropic finite strain magneto-elasticity

Heinrich T. Roth, Philipp Gebhart, Karl A. Kalina +2

In this work, we develop a neural network-based, data-driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On…

cs.CE2025

A dual-stage constitutive modeling framework based on finite strain data-driven identification and physics-augmented neural networks

Lennart Linden, Karl A. Kalina, Jörg Brummund +2

In this contribution, we present a novel consistent dual-stage approach for the automated generation of hyperelastic constitutive models which only requires experimentally measurab…