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Generalized thermomechanics with dual internal variables

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Abstract

The formal structure of generalized continuum theories is recovered by means of the extension of canonical thermomechanics with dual weakly non-local internal variables. The canonical thermomechanics provides the best framework for such generalization. The Cosserat, micromorphic, and second gradient elasticity theory are considered as examples of the obtained formalization.

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Authors and Affiliations

  1. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618, Tallinn, Estonia

    Arkadi Berezovski & Jüri Engelbrecht

  2. Institut Jean Le Rond d’Alembert, Université Pierre et Marie Curie, UMR 7190, Case 162, 4 Place Jussieu, 75252, Paris Cédex 05, France

    Gérard A. Maugin

Authors
  1. Arkadi Berezovski
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  2. Jüri Engelbrecht
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  3. Gérard A. Maugin
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Correspondence to Arkadi Berezovski.

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Berezovski, A., Engelbrecht, J. & Maugin, G.A. Generalized thermomechanics with dual internal variables. Arch Appl Mech 81, 229–240 (2011). https://doi.org/10.1007/s00419-010-0412-0

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  • DOI: https://doi.org/10.1007/s00419-010-0412-0

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