title: Resonant bar simulations in media with localized damage.
abstract: As a rule, problems of wave propagation in finite media with non-uniform spatial distribution of material properties can only be tackled by numerical models. In addition, the modeling of damage features in a material requires the introduction of locally non-linear and--more important--non-unique equations of state. Using a multiscale approach, we have implemented a non-linear hysteretic stress-strain relation based on the Preisach-Mayergoyz (PM) model, into a numerical elastodynamic finite integration technique program, which has originally been developed for linearly elastic wave propagation in inhomogeneous media. The simulation results show qualitatively good agreement with data of non-linear resonant bar experiments in homogeneously non-linear and hysteretic media. When the PM density distribution of hysteretic units at the mesoscopic level is not uniform and/or confined to a finite area in stress-stress space, the response at high amplitude excitation tend to deviate from the quasi-analytical results obtained in the case of a uniform PM-space density. Localized microdamage features in an intact medium can be modeled by conceiving finite zones with pronounced hysteretic stress-strain relations within a "linear" surrounding. Forward calculations reveal a significant influence of the amplitude dependent resonance behavior on the location (edge versus center of a bar), the extend (width of the zone) and the degree (density of hysteretic units) of damage.
authors.affiliation: Interdisciplinary Research Center, Catholic University Leuven Campus Kortrijk, Etienne Sabbelaan 53, B-8500 Kortrijk, Belgium. koen.vandenabeele@kulak.ac.be
authors.forename: K
authors.initials: K
authors.lastname: Van Den Abeele
authors.forename: F
authors.initials: F
authors.lastname: Schubert
authors.forename: V
authors.initials: V
authors.lastname: Aleshin
authors.forename: F
authors.initials: F
authors.lastname: Windels
authors.forename: J
authors.initials: J
authors.lastname: Carmeliet