Inversion of Internal Stress from the Nonlinear Ultrasound Spectroscopy Measurments
Inversion of Internal Stress from the Nonlinear Ultrasound Spectroscopy Measurments
Thursday, October 23, 2025: 9:20 AM
Nonlinear Resonant Ultrasound Spectroscopy (NRUS) has been widely used to characterize material nonlinearity by estimating the acoustic nonlinearity parameter (β).
While previous studies have explored the contributions of lattice and dislocations to nonlinearity, the influence of internal stress on NRUS measurements remains largely unexamined.
Additionally, the potential of NRUS for quantifying internal stress has not been explored.
This study develops a theoretical model for nonlinear cantilever beam vibrations, incorporating internal stress and material nonlinearity arising from higher-order elastic constants and dislocation dynamics.
NRUS experiments were conducted on a steel cantilever beam pre and post heat treatment, where heat treatment was applied to relieve internal stress.
An inversion technique was developed to estimate the internal stress in the beam before heat treatment by utilizing the measured resonant frequency and nonlinear frequency shift from NRUS experiments, along with the developed theoretical model.
These findings highlight the potential of NRUS as a nondestructive technique for internal stress evaluation in materials.
While previous studies have explored the contributions of lattice and dislocations to nonlinearity, the influence of internal stress on NRUS measurements remains largely unexamined.
Additionally, the potential of NRUS for quantifying internal stress has not been explored.
This study develops a theoretical model for nonlinear cantilever beam vibrations, incorporating internal stress and material nonlinearity arising from higher-order elastic constants and dislocation dynamics.
NRUS experiments were conducted on a steel cantilever beam pre and post heat treatment, where heat treatment was applied to relieve internal stress.
An inversion technique was developed to estimate the internal stress in the beam before heat treatment by utilizing the measured resonant frequency and nonlinear frequency shift from NRUS experiments, along with the developed theoretical model.
These findings highlight the potential of NRUS as a nondestructive technique for internal stress evaluation in materials.