Numerical Analysis of the Anomalous Elastic Behavior of Hysteretic Media: Quasi-Static, Dynamic and Relaxation Experiments

Models at a mesoscopic level may be useful tools to support data interpretation and the design of experimental setups. They may even help to provide a better understanding of the physical mechanisms responsible for hysteresis in damaged elastic media. Of course, they should prove capable of reproducing at least most of the observed phenomenology in which the anomalous elastic behavior of various materials under applied stresses manifests itself. In this contribution, we briefly describe a phenomenological model based on a Preisach–Mayergoytz space approach and we review its application to simulate quasistatic, fast dynamic, and slow dynamic experiments.