Acta Mechanica

, Volume 223, Issue 8, pp 1583–1596 | Cite as

On a thermodynamic theory of rods with two temperature fields

  • Holm Altenbach
  • Mircea Bîrsan
  • Victor A. Eremeyev
Article

Abstract

This paper presents a thermodynamic theory for elastic rods using the model of directed curves. In this model, the thin rod-like bodies are described as deformable curves with a triad of rigidly rotating vectors attached to each point. To account for the thermal effects in rods, we introduce two independent temperature fields: the absolute temperature field and the temperature deviation field. We present a complete derivation of the non-linear equations of thermoelastic rods, starting from the principles of thermodynamics. Finally, we prove the uniqueness of solution to the linearized equations of thermoelastodynamics for rods.

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Holm Altenbach
    • 1
  • Mircea Bîrsan
    • 2
    • 3
  • Victor A. Eremeyev
    • 1
    • 4
  1. 1.Fakultät für Maschinenbau, Institut für MechanikOtto-von-Guericke-Universität MagdeburgMagdeburgGermany
  2. 2.Department of MathematicsUniversity “A.I. Cuza” of IaşiIaşiRomania
  3. 3.Faculty of Civil Engineering and ArchitectureLublin University of TechnologyLublinPoland
  4. 4.South Scientific Center of RASci & South Federal UniversityRostov on DonRussia

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