Related Experiment Video
Updated: Feb 4, 2026

Ultrasound-based Pulse Wave Velocity Evaluation in Mice
Published on: February 14, 2017
Fatigue Damage Evaluation Using Nonlinear Lamb Waves with Quasi Phase-Velocity Matching at Low Frequency
Wujun Zhu1, Yanxun Xiang2, Chang-Jun Liu3
1Key Laboratory of Pressure Systems and Safety of MOE, School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China. zhuwujun20@126.com.
This study demonstrates that nonlinear Lamb waves, specifically the S0-s0 mode pair, can effectively detect fatigue damage in aluminum alloys. Lower excitation frequencies enhance sensitivity to microstructural changes during material degradation.
Area of Science:
- Materials Science
- Non-Destructive Testing
- Acoustic Materials Science
Background:
- Previous studies on material degradation relied on nonlinear Lamb waves with exact phase-velocity matching.
- The S0-s0 mode pair, exhibiting quasi phase-velocity matching, was less explored for incipient damage evaluation.
Purpose of the Study:
- To investigate the feasibility of using the S0-s0 nonlinear Lamb wave mode pair for fatigue damage assessment.
- To analyze the cumulative second harmonic generation for evaluating microstructural evolution in aluminum alloys.
Main Methods:
- Continuous low cycle fatigue tests were conducted on aluminum alloy specimens.
- Cumulative second harmonic analysis was performed using the S0-s0 Lamb wave mode pair.
- The influence of excitation frequency on damage detection sensitivity was analyzed.
Main Results:
- A characteristic mountain-shaped curve was observed between the normalized acoustic nonlinearity parameter and fatigue life for the S0-s0 mode pair, peaking at approximately 0.65 fatigue life.
- The S0-s0 mode pair effectively detected fatigue damage, with lower excitation frequencies showing higher sensitivity.
- While the S1-s2 mode pair exhibited higher sensitivity, the S0-s0 mode pair demonstrated significant potential for damage evaluation.
Conclusions:
- The S0-s0 nonlinear Lamb wave mode pair is a viable method for effective fatigue damage detection in aluminum alloys.
- Optimizing excitation frequency, particularly using lower frequencies, enhances the sensitivity of the S0-s0 mode pair to microstructural evolution.
- This research expands the application of nonlinear acoustics for non-destructive evaluation of material degradation.
Related Concept Videos
Velocity and Acceleration of a Wave
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
Nonlinear Pharmacokinetics: Causes of Nonlinearity
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
The Wave Nature of Light
Fatigue
Sign Test for Matched Pairs
To conduct the sign test, we first calculate the differences in...
Time and frequency -Domain Interpretation of Phase-lead Control
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...

