期刊
ACTA MECHANICA
卷 223, 期 8, 页码 1583-1596出版社
SPRINGER WIEN
DOI: 10.1007/s00707-012-0632-1
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资金
- E.U. [245479]
- Polish Ministry of Science and Higher Education [1471-1/7, PR UE/2010/7]
- German Research Foundation [AL341/33-1]
- Japanese Society for the Promotion of Science [RC 21115001]
- Alexander von Humboldt-Foundation
- Russian Foundation for Basic Research [09-01-00459]
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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