Surface heating and three-dimensional motion of a thermoelastic beam

Authors:
Zhuangyi Liu;Steven A. Trogdon
Affiliations:
Department of Mathematics and Statistics, University of Minnesota, Duluth, MN 55812, United States;Department of Mathematics and Statistics, University of Minnesota, Duluth, MN 55812, United States
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 3
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Abstract

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.