Summary
On the basis of the general theory for floating ice plates, as presented in Ref. [6], a viscoelastic plate theory is constructed which is analogous to a Reissner—von Kàrmàn theory in elasticity. The nonuniform distribution of temperature across the depth of the plate is accounted for by assuming that ice satisfies the postulates of thermorheologically simple solids. It is shown how the plate relaxation functions may be obtained from the relaxation functions of three dimensional viscoelasticity and the temperature-time-shifting functional. The paper concludes by demonstrating that a theory of such complexity is required to explain certain behavior of sea ice plates.
Zusammenfassung
Auf der Basis der allgemeinen Theorie schwimmender Eisplatten von Ref. [6] wird eine viskoelastische nichtlineare Plattentheorie konstruiert, welche zu der Reissner-von-Kàrmàn-Theorie elastischer Platten analog ist. Eine nicht uniforme Verteilung der Temperatur über die Plattendicke wird in der Theorie dadurch berücksichtigt, daß angenommen wird, daß das Eis das Postulat thermorheologisch einfacher Materialien erfülle. Es wird gezeigt, wie die Plattenrelaxationsfunktionen mit jenen der dreidimensionalen endlichen Viskoelastizitätstheorie und dem Temperatur-Zeit-Verschiebungsfunktional berechnet werden können. Die Arbeit schließt mit der Demonstration, daß gewisses Verhalten von Platten aus Eis nur durch eine Theorie dieser Komplexität erklärbar ist.
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Hutter, K. A general nonlinear viscoelastic plate theory and its application to floating ice. Acta Mechanica 21, 313–327 (1975). https://doi.org/10.1007/BF01303073
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DOI: https://doi.org/10.1007/BF01303073