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Transient temperature distributions in viscoelastic solids subject to cyclic deformations

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Summary

When a viscoelastic solid is deformed, mechanical energy is necessarily dissipated in the form of heat. The present paper is concerned with the effect of this dissipation on the temperature field in the solid. The coupled heat equation is used to calculate the transient and steady-state temperature distributions in two situations: (1) simple-shear of an infinite slab, and (2) torsional oscillations of a circular rod.

Zusammenfassung

Bei der Deformation eines viskoelastischen Körpers wird notwendigerweise mechanische Energie in Form von Wärmeenergie dissipiert. Die vorliegende Arbeit beschäftigt sich mit dem Einfluß dieser Dissipation auf das Temperaturfeld im Körper. Die gekoppelte Wärmeleitungsgleichung wird benützt, um das instationäre und stationäre Temperaturfeld in folgenden zwei Fällen zu berechnen. 1. Einfacher Schub in einem unendlichen Streifen und 2. Torsionsschwingungen eines Stabes mit Kreisquerschnitt.

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References

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, New Jersey, USA

    T. R. Tauchert

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  1. T. R. Tauchert
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Tauchert, T.R. Transient temperature distributions in viscoelastic solids subject to cyclic deformations. Acta Mechanica 6, 239–252 (1968). https://doi.org/10.1007/BF01170388

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  • DOI: https://doi.org/10.1007/BF01170388

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