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A thermoviscoelastic beam with a tip body

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA

    K. T. Andrews & M. Shillor

  2. Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Facultade de Matemáticas, Campus Sur s/n, 15706, Santiago de Compostela, Spain

    J. R. Fernández

Authors
  1. K. T. Andrews
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  2. J. R. Fernández
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  3. M. Shillor
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Correspondence to K. T. Andrews.

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Andrews, K., Fernández, J. & Shillor, M. A thermoviscoelastic beam with a tip body. Computational Mechanics 33, 225–234 (2004). https://doi.org/10.1007/s00466-003-0523-3

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  • DOI: https://doi.org/10.1007/s00466-003-0523-3

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