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Wave propagation in the two temperature theory of thermoelasticity

Wellenausbreitung in der Zwei-Temperatur-Theorie der Thermoelastizität

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Summary

Within the framework of a linear two-temperature theory two separate wave propagation problems are investigated. Interest is directed to wave speeds, travelling discontinuities in the two temperatures and the strain, and long and short time approximations.

Admissible wave speeds and the decay of travelling discontinuities which are associated with this theory are also obtained from a singular surface analysis. The results agree with those reached in the solution of the specific boundary value problems considered.

Zusammenfassung

Im Rahmen einer linearen Zwei-Temperatur-Theorie werden zwei Wellenausbreitungsprobleme untersucht. Besonderes Interesse gilt den Wellenausbreitungsgeschwindigkeiten, der Ausbreitung der Unstetigkeiten in den beiden Temperaturen und in der Verzerrung, sowie Lang- und Kurzzeitnäherungen. Zulässige Wellenausbreitungsgeschwindigkeiten und das Abklingverhalten von Unstetigkeiten werden auch durch Untersuchung von singulären Flächen gewonnen. Die Resultate stimmen mit denen für die beiden untersuchten Probleme gewonnenen überein.

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References

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Authors and Affiliations

  1. Sandia Laboratories, Albuquerque, New Mexico, USA

    W. E. Warren &  P. J. Chen

Authors
  1. W. E. Warren
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  2. P. J. Chen
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Additional information

This work was supported by the United States Atomic Energy Commission.

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Warren, W.E., Chen, P.J. Wave propagation in the two temperature theory of thermoelasticity. Acta Mechanica 16, 21–33 (1973). https://doi.org/10.1007/BF01177123

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  • DOI: https://doi.org/10.1007/BF01177123

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