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Internal Variables and Scale Separation in Dynamics of Microstructured Solids

  • Arkadi Berezovski
  • Jüri Engelbrecht
  • Gérard A. Maugin
Conference paper
Part of the Iutam Bookseries book series (IUTAMBOOK, volume 10)

Abstract

Internal variables are introduced in the framework of canonical thermomechanics on the material manifold. The canonical equations for energy and pseudomomentum cannot be separated by means of the scale separation because these equations should concern all fields together and, therefore, all scales together. However, the intrinsic interaction force requires a kinetic relation for internal variables. This kinetic relation depends on representation of the internal variable as “internal variable of state” or “internal degree of freedom”.

Keywords

Internal variables kinetic relation material formulation 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Arkadi Berezovski
    • 1
  • Jüri Engelbrecht
  • Gérard A. Maugin
  1. 1.Centre for Nonlinear StudiesInstitute of Cybernetics at Tallinn University of TechnologyEstonia

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