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Studies on constitutive equations of first and second order viscoelasticity

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Summary

The first and second order constitutive equations of continuous media with fading memory are formulated in this paper based on the mechanical theory and the appropriate invariant theoretics. Both isotropic and transversely isotropic media are studied. Restrictions imposed by the theory of irreversible (non-equilibrium) thermodynamics lead to further simplifications.

Zusammenfassung

Ausgehend von den Grundlagen der Mechanik und der entsprechenden Invariantentheorie werden Grundgleichungen erster und zweiter Ordnung für Kontinua mit Erinnerungsschwund formuliert. Es werden sowohl isotrope als auch orthotrope Medien studiert. Beschränkungen, die durch die irreversible Thermodynamik auferlegt werden, führen zu Vereinfachungen.

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Authors and Affiliations

  1. Department of Aeronautics, Astronautics and Engineering Sciences, Purdue University, Lafayette, Indiana, U. S. A.

    George Lianis &  Paul H. DeHoff Jr.

Authors
  1. George Lianis
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  2. Paul H. DeHoff Jr.
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Lianis, G., DeHoff, P.H. Studies on constitutive equations of first and second order viscoelasticity. Acta Mechanica 2, 21–34 (1966). https://doi.org/10.1007/BF01176727

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  • DOI: https://doi.org/10.1007/BF01176727

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