The ability to model transient wave propagation in solids and determine the Green’s function plays a major role in improving the reliability of quantitative source characterization of acoustic emission. In this work, the finite element method is employed to determine a numerical solution of the Green’s function of an isotropic plate due to a point source applied normally to the surface. The advantage of using the finite element method is that it can be extended to model realistic geometries that cannot be treated analytically. The numerical results presented here are based on a two-dimensional axisymmetric transient finite element analysis. A limited bandwidth approximation of a delta function is used (Hanning function) for modeling the source. Hence the solution is called the band-limited Green’s function. The exact analytical solutions of the Green’s function of an isotropic infinite plate are used to validate the numerical solutions. Further analysis is carried out to investigate the effects of varying the spatial resolution of the finite element model on the accuracy of the solutions. Finally, it is demonstrated how the results of the band-limited Green’s function can be used to accurately convolve the response of an arbitrary source function.
Skip Nav Destination
ASME 7th Biennial Conference on Engineering Systems Design and Analysis
July 19–22, 2004
Manchester, England
ISBN:
0-7918-4173-1
PROCEEDINGS PAPER
Numerical Evaluation of a Band-Limited Green’s Function Using the Finite Element Method for Acoustic Emission Analysis Available to Purchase
Ramez-Robert Naber,
Ramez-Robert Naber
Brunel University, Uxbridge, Middlesex, UK
Search for other works by this author on:
Hamid Bahai,
Hamid Bahai
Brunel University, Uxbridge, Middlesex, UK
Search for other works by this author on:
Barry E. Jones
Barry E. Jones
Brunel University, Uxbridge, Middlesex, UK
Search for other works by this author on:
Ramez-Robert Naber
Brunel University, Uxbridge, Middlesex, UK
Hamid Bahai
Brunel University, Uxbridge, Middlesex, UK
Barry E. Jones
Brunel University, Uxbridge, Middlesex, UK
Paper No:
ESDA2004-58540, pp. 565-572; 8 pages
Published Online:
November 11, 2008
Citation
Naber, R, Bahai, H, & Jones, BE. "Numerical Evaluation of a Band-Limited Green’s Function Using the Finite Element Method for Acoustic Emission Analysis." Proceedings of the ASME 7th Biennial Conference on Engineering Systems Design and Analysis. Volume 1. Manchester, England. July 19–22, 2004. pp. 565-572. ASME. https://doi.org/10.1115/ESDA2004-58540
Download citation file:
9
Views
Related Proceedings Papers
Related Articles
A Helmholtz Potential Approach to the Analysis of Guided Wave Generation During Acoustic Emission Events
ASME J Nondestructive Evaluation (May,2018)
Coupled Plastic Wave Propagation and Column Buckling
J. Appl. Mech (January,2005)
Axial Wave Propagation in Infinitely Long Periodic Curved Panels
J. Vib. Acoust (January,2003)
Related Chapters
Conclusion
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Experimental Research on Fiber Grating Sensor Acoustic Emission Detection of Rock Material Specimen Failure
Geological Engineering: Proceedings of the 1 st International Conference (ICGE 2007)
Hypervelocity Impact Damage Detection in Stiffened Plate by Acoustic Emission
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3