Details
| Original language | English |
|---|---|
| Title of host publication | 16th World Congress in Computational Mechanics (WCCM) |
| Editors | A. Korobenko, M. Laforest, S. Prudhomme, R. Vaziri |
| Number of pages | 12 |
| Publication status | Published - 21 Jul 2024 |
| Event | 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024 - Vancouver, Canada Duration: 21 Jul 2024 → 26 Jul 2024 |
Publication series
| Name | World Congress in Computational Mechanics and ECCOMAS Congress |
|---|---|
| ISSN (electronic) | 2696-6999 |
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.
Keywords
- Galerkin finite elemendiscretization, Space-time, variational material modeling, wave equation
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
16th World Congress in Computational Mechanics (WCCM). ed. / A. Korobenko; M. Laforest; S. Prudhomme; R. Vaziri. 2024. (World Congress in Computational Mechanics and ECCOMAS Congress).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Space-time variational material modeling
T2 - 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024
AU - Junker, Philipp
AU - Roth, Julian
AU - Wick, Thomas
N1 - Publisher Copyright: © 2024, Scipedia S.L. All rights reserved.
PY - 2024/7/21
Y1 - 2024/7/21
N2 - 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.
AB - 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.
KW - Galerkin finite elemendiscretization
KW - Space-time
KW - variational material modeling
KW - wave equation
UR - http://www.scopus.com/inward/record.url?scp=85216767729&partnerID=8YFLogxK
U2 - 10.23967/wccm.2024.036
DO - 10.23967/wccm.2024.036
M3 - Conference contribution
AN - SCOPUS:85216767729
T3 - World Congress in Computational Mechanics and ECCOMAS Congress
BT - 16th World Congress in Computational Mechanics (WCCM)
A2 - Korobenko, A.
A2 - Laforest, M.
A2 - Prudhomme, S.
A2 - Vaziri, R.
Y2 - 21 July 2024 through 26 July 2024
ER -