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Resonant bar simulations in media with localized damage.

K Van Den Abeele1, F Schubert, V Aleshin

  • 1Interdisciplinary Research Center, Catholic University Leuven Campus Kortrijk, Etienne Sabbelaan 53, B-8500 Kortrijk, Belgium. koen.vandenabeele@kulak.ac.be

Ultrasonics
|March 30, 2004
PubMed
Summary

This study models wave propagation in materials with damage using a Preisach-Mayergoyz (PM) model. Simulations show that localized damage significantly influences material resonance and wave behavior.

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Area of Science:

  • Computational physics
  • Materials science
  • Non-linear acoustics

Background:

  • Wave propagation in heterogeneous media typically requires numerical modeling.
  • Material damage necessitates non-linear and non-unique equations of state.
  • Existing numerical programs often focus on linear wave propagation.

Purpose of the Study:

  • To implement a non-linear hysteretic stress-strain relation using the Preisach-Mayergoyz (PM) model into a finite integration technique program.
  • To investigate the effects of non-uniform material properties and localized damage on wave propagation.
  • To compare simulation results with experimental data from non-linear resonant bar experiments.

Main Methods:

  • Utilized a multiscale approach to integrate the PM model into an elastodynamic finite integration technique program.

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  • Developed non-linear hysteretic stress-strain relations.
  • Simulated wave propagation in media with varying degrees and distributions of hysteretic units.

    • Main Results:

    • Simulation results qualitatively agree with non-linear resonant bar experiments.
    • Non-uniform PM density distributions lead to deviations from quasi-analytical results at high amplitudes.
    • Localized microdamage zones significantly influence amplitude-dependent resonance behavior.

    Conclusions:

    • The implemented PM model accurately captures hysteretic behavior in materials.
    • The spatial distribution and density of hysteretic units critically affect wave propagation and resonance.
    • This approach provides a robust method for modeling localized damage in materials.