Summary
In this paper, the differential equation governing the behavior of shock waves propagating in inhomogeneous thermoelastic bodies is derived. The implications of this equation on the local behavior of the amplitudes are examined. It is shown that the behavior depends on the relative magnitudes of a number λ, called the critical jump in strain gradient, and the jump in strain gradient across the shocks.
Zusammenfassung
In dieser Arbeit wird die das Verhalten von in inhomogenen thermoelastischen Körpern sich ausbreitenden Stoßwellen charakterisierende Differentialgleichung abgeleitet. Die Folgerungen auf das lokale Verhalten der Amplituden wird untersucht. Es wird gezeigt, daß das Verhalten von der relativen Größe einer Zahl λ, genannt kritischer Sprung des Verzerrungsgradienten, und dem Sprung im Verzerrungsgradienten über den Stoß abhängt.
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Chen, P.J. Thermodynamic influences on shock waves in inhomogeneous elastic bodies. Acta Mechanica 17, 247–253 (1973). https://doi.org/10.1007/BF01183758
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DOI: https://doi.org/10.1007/BF01183758