Surface heating and three-dimensional motion of a thermoelastic beam

Zhuangyi Liu, Steven A. Trogdon

Research output: Contribution to journalArticlepeer-review


In this paper, we derive the equations for three-dimensional motion and temperature of a thermoelastic beam. The modeling takes into account surface heating and radiation. The model is simplified when the beam cross-section is an annulus with small wall thickness. Well-posedness as well as asymptotic behavior of the solutions are discussed using the semigroup method for the simplified model.

Original languageEnglish (US)
Pages (from-to)1051-1063
Number of pages13
JournalMathematical and Computer Modelling
Issue number9-10
StatePublished - May 2010


  • Energy decay rate
  • Radiation
  • Solar heating
  • Stability
  • Thermoelastic beam


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