Summary
In this paper, it is shown that the amplitude of an acceleration wave propagating in an inhomogeneous elastic non-conductor of heat obeys the well-known Bernoulli equation, and that knowing its local isentropic elastic properties is sufficient to predict the behavior of the amplitude. A specific application of the general results to the case when the material is at rest in a non-homogeneous reference configuration is also considered; it is shown that the specific behavior of the amplitude for this case can be quite different, depending on the properties of the material in this configuration.
Zusammenfassung
In dieser Arbeit wird gezeigt, daß die Amplitude der in einem inhomogenen, elastischen, Wärme nicht leitenden Werkstoff sich ausbreitenden Beschleunigungswellen derBernoulli-Gleichung genügt und daß die Kenntnis der lokalen isentropen elastischen Eigenschaften ausreicht, um das Amplitudenverhalten zu bestimmen. Betrachtet wird außerdem die Anwendung der allgemeinen Ergebnisse auf den Spezialfall eines in bezug auf ein spezielles inhomogenes Bezugssystem in Ruhe befindlichen Körpers. Für diesen Spezialfall wird gezeigt, daß für verschiedene Materialeigenschaften die Amplituden vollständig verschiedenes Verhalten zeigen können.
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Chen, P.J. One dimensional acceleration waves in inhomogeneous elastic non-conductors. Acta Mechanica 17, 17–24 (1973). https://doi.org/10.1007/BF01260876
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DOI: https://doi.org/10.1007/BF01260876