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On the determination of free energy in linear viscoelastic solids

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Zusammenfassung

Der Artikel behandelt die isotherme Verformung eines linear-viskoelastischen Stoffes im einachsigen Spannungszustand. Ein Integralgesetz für die Spannungs-Dehnungsbeziehung wird aufgestellt, in dem der Relaxationsmodul als Summe von Exponentialfunktionen angesetzt wird. Die Möglichkeit, die freie Energie und die Entropieproduktion aus der Kenntnis des Relaxationsmoduls zu bestimmen, wird diskutiert. Im Gegensatz zu früheren Untersuchungen dieses Problems macht der vorliegende Artikel keinen Gebrauch von Modellvorstellungen und stützt sich ausschliesslich auf thermodynamische Überlegungen.

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References

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Author information

Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, R. I., USA

    Shlomo Breuer

  2. Division of Engineering, Brown University, Providence, R. I., USA

    E. Turan Onat

Authors
  1. Shlomo Breuer
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  2. E. Turan Onat
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Additional information

The results communicated in this paper were obtained in the course of research sponsored by the Office of Naval Research under Contract Nonr 562(10), and by Material Research Program, The Advanced Research Projects Agency, Department of Defense.

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Breuer, S., Onat, E.T. On the determination of free energy in linear viscoelastic solids. Journal of Applied Mathematics and Physics (ZAMP) 15, 184–191 (1964). https://doi.org/10.1007/BF01602660

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  • DOI: https://doi.org/10.1007/BF01602660

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