Abstract
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.
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Support for this research was provided by the Deutsche Forschungsgemeinschaft (DFG) under grant GR 3297/1. This support is gratefully acknowledged.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Krüger, M., Groß, M. & Betsch, P. A comparison of structure-preserving integrators for discrete thermoelastic systems. Comput Mech 47, 701–722 (2011). https://doi.org/10.1007/s00466-011-0570-0
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DOI: https://doi.org/10.1007/s00466-011-0570-0