Mathematical Sciences: Faculty Publications
Visualization of Symmetric and Antisymmetric Lamb Waves Via the Elastodynamic Poynting Vector
Document Type
Article
Publication Date
1999
Publication Title
Theoretical and Computational Acoustics '97
DOI
10.1142/9789814528580
ISBN
978-981-4544-90-0
Abstract
The instantaneous elastodynamic Poynting vector and its time averaged complex cognate waves can be used to visualize not only instantaneous energy flux associated with elastodynamic waves but also their traveling and standing wave components. The graphic and algebraic capabilities of Mathematica 3.0 are used to demonstrate the visual patterns associated with the instantaneous energy flux, and the traveling and standing wave components for various symmetric and antisymmetric modes of the Lamb wave [H. Lamb, Proc. Roy. Soc. London, Ser. A, 93, 1140128 (1917)]. Numerous vector field plots and several animations will be shown.
Recommended Citation
Braselton, James P., Cleon Dean.
1999.
"Visualization of Symmetric and Antisymmetric Lamb Waves Via the Elastodynamic Poynting Vector."
Theoretical and Computational Acoustics '97, Yu-Chiung Teng, Er-Chang Shang, Yih-Hsing Pao, Martin H. Schultz, and Allan D. Pierce (Ed.): 515: World Scientific.
doi: 10.1142/9789814528580 isbn: 978-981-4544-90-0
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/435
Copyright
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