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Thermodynamic influences on the growth of one-dimensional shock waves in materials with memory

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Abstract

In this paper we study one-dimensional shock waves in materials with memory, including thermodynamic influences. In particular, we derive a differential equation relating the strain and strain gradient behind the shock, and give criteria under which the wave will grow or decay.

Zusammenfassung

In dieser Arbeit werden eindimensionale Stoßwellen mit Berücksichtigung thermodynamischer Einflüsse in Werkstoffen mit Gedächtnis untersucht. Speziell wird eine Differentialgleichung abgeleitet, die das Verhältnis zwischen Spannungs- und Verzerrungsgradienten hinter der Stoßwelle herstellt. Ferner werden Bedingungen für Anwuchs und Abfall der Welle angegeben.

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Authors and Affiliations

  1. Sandia Laboratories, Albuquerque, New Mexico, USA

    Peter J. Chen

  2. Carnegie-Mellon University, Pittsburgh, Pennsylvania, USA

    Morton E. Gurtin

Authors
  1. Peter J. Chen
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  2. Morton E. Gurtin
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Chen, P.J., Gurtin, M.E. Thermodynamic influences on the growth of one-dimensional shock waves in materials with memory. Journal of Applied Mathematics and Physics (ZAMP) 23, 69–79 (1972). https://doi.org/10.1007/BF01593203

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  • DOI: https://doi.org/10.1007/BF01593203

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