A comparison of structure-preserving integrators for discrete thermoelastic systems

Authors:
M. Krüger;M. Groβ;P. Betsch
Affiliations:
Chair of Computational Mechanics, Department of Mechanical Engineering, University of Siegen, Siegen, Germany;Chair of Computational Mechanics, Department of Mechanical Engineering, University of Siegen, Siegen, Germany;Chair of Computational Mechanics, Department of Mechanical Engineering, University of Siegen, Siegen, Germany
Venue:
Computational Mechanics
Year:
2011

Citing 4
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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.