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Archive of Applied Mechanics

, Volume 84, Issue 9–11, pp 1249–1261 | Cite as

Weakly nonlocal thermoelasticity for microstructured solids: microdeformation and microtemperature

  • Arkadi BerezovskiEmail author
  • Jüri Engelbrecht
  • Peter Ván
Special Issue

Abstract

Prediction of the thermoelastic behavior of microstructured materials suggests a more general description of thermal processes in addition to the generalized continuum description extending the conventional continuum mechanics for incorporating intrinsic microstructural effects. Double dual internal variables are introduced in order to couple inertial microstructural effects like microdeformation and diffusive microstructural effects like microtemperature. The full coupled system of governing equations provides a complete extension of the classical thermoelasticity theory onto the case of microstructured solids.

Keywords

Thermoelasticity Microstructure Microdeformation Microtemperature Dual internal variables 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Arkadi Berezovski
    • 1
    Email author
  • Jüri Engelbrecht
    • 1
  • Peter Ván
    • 2
  1. 1.Centre for Nonlinear StudiesInstitute of Cybernetics at Tallinn University of TechnologyTallinnEstonia
  2. 2.Wigner Research Centre for PhysicsInstitute of Particle and Nuclear PhysicsBudapestHungary

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