Abstract
The behaviour of acceleration waves in the nonlinear theory of thermoelasticity of Green and Lindsay [1] is investigated systematically. It is shown that two coupled waves may propagate with different finite wavespeeds. For waves entering isothermal homogeneously strained regions, explicit results are obtained for the wavespeeds and wave amplitudes, and the possibility of shock-wave formation is discussed.
Zusammenfassung
Das Verhalten von Beschleunigungswellen in der nichtlinearen thermoelastischen Theorie von Green und Lindsay [1] wird systematisch untersucht. Es wird gezeigt, dass zwei gekoppelte Wellen mit verschiedenen endlichen Wellengeschwindigkeiten wandern können. Für Wellen, welche in isotherme, homogen verzerrte Gebiete eintreten, werden die Wellengeschwindigkeiten und Amplituden explizit bestimmt, und es wird die Möglichkeit der Bildung von Stosswellen diskutiert.
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Lindsay, K.A., Straughan, B. Propagation of mechanical and temperature acceleration waves in thermoelastic materials. Journal of Applied Mathematics and Physics (ZAMP) 30, 477–490 (1979). https://doi.org/10.1007/BF01588892
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DOI: https://doi.org/10.1007/BF01588892