A thermoviscoelastic beam with a tip body

We present and investigate a model for the thermomechanical behaviour of a viscoelastic beam with an attached tip body. The model consists of a coupled energy–elastic system of equations for the beam together with an equation for the temperature of the tip body. We establish existence and uniqueness...

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Bibliographic Details
Published in:Computational mechanics 2004-02, Vol.33 (3), p.225-234
Main Authors: Andrews, K. T., Fern ndez, J. R., Shillor, M.
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Elastic systems
Finite element method
Thermomechanical analysis
Thermomechanical properties
Viscoelasticity
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Summary:We present and investigate a model for the thermomechanical behaviour of a viscoelastic beam with an attached tip body. The model consists of a coupled energy–elastic system of equations for the beam together with an equation for the temperature of the tip body. We establish existence and uniqueness of a weak solution to the system. We also propose a finite element algorithm for solutions to the system and present numerical simulations based on the algorithm.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-003-0523-3