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Weakly nonlocal thermoelasticity for microstructured solids: microdeformation and microtemperature

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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.

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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. Wigner Research Centre for Physics, Institute of Particle and Nuclear Physics, Budapest, 1525, P.O.Box 49, Hungary

    Peter Ván

Authors
  1. Arkadi Berezovski
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  2. Jüri Engelbrecht
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  3. Peter Ván
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Correspondence to Arkadi Berezovski.

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Berezovski, A., Engelbrecht, J. & Ván, P. Weakly nonlocal thermoelasticity for microstructured solids: microdeformation and microtemperature. Arch Appl Mech 84, 1249–1261 (2014). https://doi.org/10.1007/s00419-014-0858-6

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  • DOI: https://doi.org/10.1007/s00419-014-0858-6

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