A comparison of structure-preserving integrators for discrete thermoelastic systems
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This paper contains a comparison of three recently proposed structure-preserving time-stepping schemes for nonlinear thermomechanical systems. These schemes can be considered as extension to coupled thermoelastic problems of well-established energy–momentum schemes for nonlinear elastodynamics. The present comparison is performed in the context of a finite-dimensional model problem for coupled thermomechanical systems: the thermoelastic double pendulum. It is shown that, similar to their purely mechanical ancestors, structure-preserving integrators for coupled thermoelasticity in general exhibit superior numerical stability and robustness properties.
KeywordsThermoelastic Transient Conserving integrators
Support for this research was provided by the Deutsche Forschungsgemeinschaft (DFG) under grant GR 3297/1. This support is gratefully acknowledged.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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