Modeling and analysis of a laminated beam

Authors:
Z. Liu;S. A. Trogdon;Yong Jiongmin
Affiliations:
Department of Mathematics and Statistics University of Minnesota, Duluth, MN 55812, U.S.A.;Department of Mathematics and Statistics University of Minnesota, Duluth, MN 55812, U.S.A.;Department of Mathematics Fudan University, Shanghai 200433, P.R. China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

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Surface heating and three-dimensional motion of a thermoelastic beam

Mathematical and Computer Modelling: An International Journal

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Abstract

In this paper, we derive the equations of motion for a laminated beam of three layers, of which the two surface-layers are linearly elastic and the middle layer is viscoelastic. Well-posedness as well as the asymptotic behavior of the solutions are discussed using the semigroup method.