Summary
Analytical and numerical solutions are presented for the statistical properties of the stress at the wave front in a suddenly loaded semi-infinite rod of a viscoelastic material with a stress power constitutive law. The temperature and accordingly the temperature sensitive material parameters are assumed to be random. A critical time is observed, where the mean solutions cross the deterministic solutions and the variance is a maximum.
Zusammenfassung
Für die statistischen Eigenschaften der Spannung an der Wellenfront eines plötzlich belasteten halbunendlichen Stabes aus viskoelastischem Werkstoff mit Potenzgesetz werden analytische und numerische Lösungen angegeben. Temperatur und daher temperaturempfindliche Werkstoffparameter werden zufallsabhängig angenommen. Eine kritische Zeit, bei der die Mittelwertsfunktionen die deterministischen Lösungen schneiden und die Varianzen ein Maximum annehmen, wird festgestellt.
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This research was supported in part by the Office of Naval Research under Contract No. N00014-71-C-0108, and in part by the National Science Foundation under Grant No. GK-1834X.
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Cozzarelli, F.A., Chang, W.P. Wave front stress relaxation in viscoelastic materials with random temperature distributions. Acta Mechanica 22, 11–30 (1975). https://doi.org/10.1007/BF01170617
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DOI: https://doi.org/10.1007/BF01170617