A Port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization

Authors

A. Brugnoli, D. Alazard, V. Pommier-Budinger, D. Matignon

Abstract

A port-Hamiltonian formulation for general linear coupled thermoelasticity and for the thermoelastic bending of thin structures is presented. The construction exploits the intrinsic modularity of port-Hamiltonian systems to obtain a formulation of linear thermoelasticity as an interconnection of the elastodynamics and heat equations. The derived model can be readily discretized by using mixed finite elements. The discretization is structure-preserving, since the main features of the system are retained at a discrete level. The proposed model and discretization strategy are validated against a benchmark problem of thermoelasticity, the Danilovskaya problem.

Citation

• Journal: Journal of Thermal Stresses
• Year: 2021
• Volume: 44
• Issue: 6
• Pages: 643–661
• Publisher: Informa UK Limited
• DOI: 10.1080/01495739.2021.1917322

BibTeX

@article{Brugnoli_2021,
  title={{A Port-Hamiltonian formulation of linear thermoelasticity and its mixed finite element discretization}},
  volume={44},
  ISSN={1521-074X},
  DOI={10.1080/01495739.2021.1917322},
  number={6},
  journal={Journal of Thermal Stresses},
  publisher={Informa UK Limited},
  author={Brugnoli, A. and Alazard, D. and Pommier-Budinger, V. and Matignon, D.},
  year={2021},
  pages={643--661}
}

Download the bib file

References

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