Resonant bar simulations in media with localized damage.

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.
• 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.