This paper addresses the predictive simulation of acoustic emission (AE) guided waves that appear due to sudden energy release during incremental crack propagation. The Helmholtz decomposition approach is applied to the inhomogeneous elastodynamic Navier–Lame equations for both the displacement field and body forces. For the displacement field, we use the usual decomposition in terms of unknown scalar and vector potentials, and . For the body forces, we hypothesize that they can also be expressed in terms of excitation scalar and vector potentials, and . It is shown that these excitation potentials can be traced to the energy released during an incremental crack propagation. Thus, the inhomogeneous Navier–Lame equation has been transformed into a system of inhomogeneous wave equations in terms of known excitation potentials and and unknown potentials and . The solution is readily obtained through direct and inverse Fourier transforms and application of the residue theorem. A numerical study of the one-dimensional (1D) AE guided wave propagation in a 6 mm thick 304-stainless steel plate is conducted. A Gaussian pulse is used to model the growth of the excitation potentials during the AE event; as a result, the actual excitation potential follows the error function variation in the time domain. The numerical studies show that the peak amplitude of A0 signal is higher than the peak amplitude of S0 signal, and the peak amplitude of bulk wave is not significant compared to S0 and A0 peak amplitudes. In addition, the effects of the source depth, higher propagating modes, and propagating distance on guided waves are also investigated.
Skip Nav Destination
Article navigation
Research-Article
A Helmholtz Potential Approach to the Analysis of Guided Wave Generation During Acoustic Emission Events
Mohammad Faisal Haider,
Mohammad Faisal Haider
Department of Mechanical Engineering,
University of South Carolina,
300 Main Street, Room A237,
Columbia, SC 29208
e-mail: haiderm@email.sc.edu
University of South Carolina,
300 Main Street, Room A237,
Columbia, SC 29208
e-mail: haiderm@email.sc.edu
Search for other works by this author on:
Victor Giurgiutiu
Victor Giurgiutiu
Professor
Fellow ASME
Department of Mechanical Engineering,
University of South Carolina,
Columbia, SC 29208
e-mail: victorg@sc.edu
Fellow ASME
Department of Mechanical Engineering,
University of South Carolina,
300 Main Street, Room A222
, Columbia, SC 29208
e-mail: victorg@sc.edu
Search for other works by this author on:
Mohammad Faisal Haider
Department of Mechanical Engineering,
University of South Carolina,
300 Main Street, Room A237,
Columbia, SC 29208
e-mail: haiderm@email.sc.edu
University of South Carolina,
300 Main Street, Room A237,
Columbia, SC 29208
e-mail: haiderm@email.sc.edu
Victor Giurgiutiu
Professor
Fellow ASME
Department of Mechanical Engineering,
University of South Carolina,
Columbia, SC 29208
e-mail: victorg@sc.edu
Fellow ASME
Department of Mechanical Engineering,
University of South Carolina,
300 Main Street, Room A222
, Columbia, SC 29208
e-mail: victorg@sc.edu
1Corresponding author.
Manuscript received May 4, 2017; final manuscript received September 28, 2017; published online October 27, 2017. Assoc. Editor: Paul Fromme.
ASME J Nondestructive Evaluation. May 2018, 1(2): 021002-021002-11 (11 pages)
Published Online: October 27, 2017
Article history
Received:
May 4, 2017
Revised:
September 28, 2017
Citation
Haider, M. F., and Giurgiutiu, V. (October 27, 2017). "A Helmholtz Potential Approach to the Analysis of Guided Wave Generation During Acoustic Emission Events." ASME. ASME J Nondestructive Evaluation. May 2018; 1(2): 021002–021002–11. https://doi.org/10.1115/1.4038116
Download citation file:
Get Email Alerts
Finite Element Method Modeling for Extended Depth of Focus Acoustic Transducer
ASME J Nondestructive Evaluation (May 2025)
Effect of Various Notch Shapes on Lamb Wave Scattering Behavior in a Bent Plate
ASME J Nondestructive Evaluation (August 2025)
Similarity Analysis to Enhance Transfer Learning for Damage Detection
ASME J Nondestructive Evaluation (August 2025)
Long Short-Term Memory Autoencoder for Anomaly Detection in Rails Using Laser Doppler Vibrometer Measurements
ASME J Nondestructive Evaluation (August 2025)
Related Articles
A Benchmark Study of Modeling Lamb Wave Scattering by a Through Hole Using a Time-Domain Spectral Element Method
ASME J Nondestructive Evaluation (May,2018)
Two-Dimensional In-Plane Elastic Waves in Curved-Tapered Square Lattice Frame Structure
J. Appl. Mech (March,2022)
Wave Propagation in a Piezoelectric Coupled Solid Medium
J. Appl. Mech (November,2002)
Stress Wave Propagation, Dynamic Material Response, and Quantitative Non-Destructive Evaluation
Appl. Mech. Rev (October,1985)
Related Proceedings Papers
Related Chapters
Cavitation Bubble Collapse Monitoring by Acoustic Emission in Laboratory Testing
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Exploration of a Possibility to Assess Erosive Cavitation by Acoustic Emission Technique
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Hypervelocity Impact Damage Detection in Stiffened Plate by Acoustic Emission
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3