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On induced discontinuities in a class of linear materials with internal state parameters

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Sommario

Le equazioni di evoluzione per discontinuità indotte da onde d'urto longitudinali e trasversali sono ricavate per una classe di materiali lineari con parametri di stato interni. Tali equazioni indicano che il comportamento delle discontinuitá indotte dipende, in particolare, dall'ampiezza dell'onda d'urto e, non linearmente, dalla seconda forma fondamentale della superficie. Le soluzioni, ottenute in corrispondenza di onde piane con profilo iniziale piatto, mostrano che il comportamento delle discontinuità indotte non è monotono ed é legato ai parametri che caratterizzano il materiale.

Summary

The governing differential equations of induced discontinuities behind longitudinal and transverse shock waves are derived for a class of linear materials with internal state parameters. These equations indicate that the behavior of the induced discontinuities depends, in particular, on the behavior of the shock amplitudes and non-linearly on the wave surface geometries. Solutions for the case of plane waves with initially flat profiles are obtained, and they indicate that the global behavior of the induced discontinuities need not be monotone depending on the interpretation of the material responses.

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References

  1. Gruschka H.D., andWecken F.,Gasdynamic Theory of Detonation. Gordon & Breach, New York 1971.

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  2. Chen P.J.,On induced discontinuities behind shock waves in isotropic linear viscoelastic materials, Nuovo Cimento 81 B, 113–127 (1984).

    Google Scholar 

  3. Truesdell C. andToupin R.,The Classical Field Theory, Handbuch der Physik, vol. III/1, edited by S. Flügge, Springer, Berlin 1960.

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  4. Chen P.J.,Selected Topics in Wave Propagation, Noordhoff, Leyden 1976.

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  5. Bailey P.B. andChen P.J.,An accurate explicit finite difference algorithm for shocks in nonlinear wave propagation — one dimension. Wave Motion 6, 279–287 (1984).

    Google Scholar 

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Authors and Affiliations

  1. Sandia National Laboratories, 87185, Albuquerque, New Mexico, USA

    Peter J. Chen

  2. DIBE, Università di Genova, Viale Causa 13, 16145, Genova, Italy

    Angelo Morro

Authors
  1. Peter J. Chen
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  2. Angelo Morro
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Chen, P.J., Morro, A. On induced discontinuities in a class of linear materials with internal state parameters. Meccanica 22, 14–18 (1987). https://doi.org/10.1007/BF01560120

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  • DOI: https://doi.org/10.1007/BF01560120

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