On a thermodynamic theory of rods with two temperature fields

Holm Altenbach (1) , Mircea Bîrsan (2, 3) , Victor A. Eremeyev (1)

1 Institut für Mechanik
2 Department of Mathematics
3 Faculty of Civil Engineering and Architecture

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.

Domaines: Mécanique [physics.med-ph]

Holm Altenbach, Mircea Bîrsan, Victor A. Eremeyev. On a thermodynamic theory of rods with two temperature fields. Acta Mechanica, 2012, 223 (8), pp.1583-1596. ⟨hal-00821509⟩