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Mathematical justification of Kelvin–Voigt beam models by asymptotic methods

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Abstract

The authors derive and justify two models for the bending-stretching of a viscoelastic rod by using the asymptotic expansion method. The material behaviour is modelled by using a general Kelvin–Voigt constitutive law.

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Authors and Affiliations

  1. Departamento de Métodos Matemáticos e Representación, Universidad de A Coruña, A Coruña, Spain

    Á. D. Rodríguez-Arós

  2. Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

    J. M. Viaño

Authors
  1. Á. D. Rodríguez-Arós
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  2. J. M. Viaño
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Corresponding author

Correspondence to Á. D. Rodríguez-Arós.

Additional information

This work is part of the Research Project MTM2006-13981 from Spanish Science and Innovation Ministry (MICINN).

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Rodríguez-Arós, Á.D., Viaño, J.M. Mathematical justification of Kelvin–Voigt beam models by asymptotic methods. Z. Angew. Math. Phys. 63, 529–556 (2012). https://doi.org/10.1007/s00033-011-0180-x

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  • DOI: https://doi.org/10.1007/s00033-011-0180-x

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