6 citations · 14 across the 7 of their papers we have counts for
4 papers · 1 filter
Energy-consistent integration of mechanical systems based on Livens principle
Philipp L. Kinon, Peter Betsch
In this work we make use of Livens principle (sometimes also referred to as Hamilton-Pontryagin principle) in order to obtain a novel structure-preserving integrator for mechanical…
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…
Discrete nonlinear elastodynamics in a port-Hamiltonian framework
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
We provide a fully nonlinear port-Hamiltonian formulation for discrete elastodynamical systems as well as a structure-preserving time discretization. The governing equations are ob…
Port-Hamiltonian formulation and structure-preserving discretization of hyperelastic strings
Philipp L. Kinon, Tobias Thoma, Peter Betsch +1
Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings,…