Hysteretic elasticity in damaged concrete: Quantitative analysis of slow and fast dynamics

Fast and slow dynamics in the elastic response of damaged materials to external excitations show evidence of an anomalous (hysteretic) elastic behavior. Experimental observations may be used to detect and eventually characterize the damaged state of structural components. At the same time, reliable theoretical models might support data interpretation and development of new experiments. Here, we analyze the resonance frequency shift in undamaged and damaged concrete bars, comparing experimental results and theoretical predictions obtained from a Preisach-Mayergoyz based elastic model.