238 citations · 530 across the 13 of their papers we have counts for
4 papers · 1 filter
A robust finite strain isogeometric solid-beam element
Abdullah Shafqat, Oliver Weeger, Bai-Xiang Xu
In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as…
Parametrised polyconvex hyperelasticity with physics-augmented neural networks
Dominik K. Klein, Fabian J. Roth, Iman Valizadeh +1
In the present work, neural networks are applied to formulate parametrised hyperelastic constitutive models. The models fulfill all common mechanical conditions of hyperelasticity…
Advanced discretization techniques for hyperelastic physics-augmented neural networks
Marlon Franke, Dominik K. Klein, Oliver Weeger +1
In the present work, advanced spatial and temporal discretization techniques are tailored to hyperelastic physics-augmented neural networks, i.e., neural network based constitutive…
Neural networks meet hyperelasticity: A guide to enforcing physics
Lennart Linden, Dominik K. Klein, Karl A. Kalina +3
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…