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Thermoelastic mechanism for logarithmic slow dynamics and memory in elastic wave interactions with individual cracks
Vladimir Zaitsev1, Vitalyi Gusev, Bernard Castagnede
1Institute of Applied Physics RAS, 46 Uljanova Street, Nizhny Novgorod, 603950, Russia.
Abstract:
Logarithmic-in-time slow dynamics has been found for individual cracks in a solid. Furthermore, this phenomenon is observed during both the crack acoustic conditioning and the subsequent relaxation. A thermoelastic mechanism is suggested which relates the log-time behavior to the essentially 2D character of the heating and cooling of the crack perimeter and inner contacts. Nonlinear perturbation of the contacts by a stronger (pump) wave causes either softening or hardening of the sample, and induces either additional absorption or transparency for a weaker (probe) acoustic wave depending on frequency of the latter.
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