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Continuum Mechanics and Thermodynamics

, Volume 26, Issue 3, pp 403–420 | Cite as

Thermodynamic approach to generalized continua

  • Peter VánEmail author
  • Arkadi Berezovski
  • Christina Papenfuss
Original Article

Abstract

Governing equations of dissipative generalized solid mechanics are derived by thermodynamic methods in the Piola–Kirchhoff framework using the Liu procedure. The isotropic small-strain case is investigated in more detail. The connection to the Ginzburg–Landau type evolution, dual internal variables, and a thermodynamic generalization of the standard linear solid model of rheology is demonstrated. Specific examples are chosen to emphasize experimental confirmations and predictions beyond less general approaches.

Keywords

Generalized solid mechanics Liu procedure Dual internal variables Thermodynamic rheology 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Peter Ván
    • 1
    • 2
    • 3
    Email author
  • Arkadi Berezovski
    • 4
  • Christina Papenfuss
    • 5
  1. 1.Department of Theoretical PhysicsWigner RCP, HASBudapestHungary
  2. 2.Department of Energy EngineeringBudapest University of Technology and EconomicsBudapestHungary
  3. 3.Montavid Thermodynamic Research GroupBudapestHungary
  4. 4.Centre for Nonlinear Studies, Institute of CyberneticsTallinn University of TechnologyTallinnEstonia
  5. 5.Technical University of BerlinBerlinGermany

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