Space-time variational material modeling
Numerical simulations for the wave equation with velocity initial and final time condictions
- verfasst von
- Philipp Junker, Julian Roth, Thomas Wick
- Abstract
In this work, we consider one key component, namely the wave equation, of a recently proposed space-time variational material model. The overall model is derived from a thermodynamically consistent Hamilton functional in the space-time cylinder in which mechanics, temperature and internal variables couple. Through the derivation, rather unusual end time conditions for the second-order in time wave equation arise. In order to understand their behavior better, we solely focus on the wave equation (neglecting temperature and internal variables) and formulate a Galerkin finite element discretization in time and space. Based on this discretization and the corresponding implementation, some numerical simulations are conducted. Therein, both traditional initial conditions for the displacements and the velocities are considered, as well as our newly proposed conditions for initial time and final time acting on the velocity variable only.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Institut für Angewandte Mathematik
- Typ
- Aufsatz in Konferenzband
- Anzahl der Seiten
- 12
- Publikationsdatum
- 21.07.2024
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Maschinenbau
- Elektronische Version(en)
-
https://doi.org/10.23967/wccm.2024.036 (Zugang:
Offen)
