8 April 2010 Generalized representations and universal aspects of Lamb wave dispersion relations
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Abstract
Due to the dependence on a limited amount of parameters, the dispersion relations of Lamb waves can be presented in a generalized way. This is exemplified for the different established typical representations. Special attention is given to the representation of the momentum on energy, which is well suited to discuss basic features since energy as well as momentum is the properties which are strictly conserved in loss free homogeneous materials. Representations involving the phase and group velocity are discussed. Features related to level crossing of interacting modes and relations to basic mechanical properties especially relevant to Lamb waves are included in the presentation and discussion.
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U. Amjad, U. Amjad, K. S. Tarar, K. S. Tarar, A. Shelke, A. Shelke, T. Kundu, T. Kundu, M. Pluta, M. Pluta, W. Grill, W. Grill, } "Generalized representations and universal aspects of Lamb wave dispersion relations", Proc. SPIE 7650, Health Monitoring of Structural and Biological Systems 2010, 76502F (8 April 2010); doi: 10.1117/12.847673; https://doi.org/10.1117/12.847673
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