Generalized representations and universal aspects of Lamb wave dispersion relations

U. Amjad, K. S. Tarar, A. Shelke, Tribikram Kundu, M. Pluta, W. Grill

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume7650
EditionPART 1
DOIs
StatePublished - 2010
EventHealth Monitoring of Structural and Biological Systems 2010 - San Diego, CA, United States
Duration: Mar 8 2010Mar 11 2010

Other

OtherHealth Monitoring of Structural and Biological Systems 2010
CountryUnited States
CitySan Diego, CA
Period3/8/103/11/10

Fingerprint

Lamb Waves
Lamb waves
wave dispersion
Dispersion Relation
Surface waves
Momentum
Level Crossing
Phase Velocity
Group Velocity
Energy
Mechanical Properties
momentum
Strictly
phase velocity
group velocity
Mechanical properties
mechanical properties
energy
Presentation

Keywords

  • Dispersion relations
  • Lamb waves
  • Surface acoustic wave

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Amjad, U., Tarar, K. S., Shelke, A., Kundu, T., Pluta, M., & Grill, W. (2010). Generalized representations and universal aspects of Lamb wave dispersion relations. In Proceedings of SPIE - The International Society for Optical Engineering (PART 1 ed., Vol. 7650). [76502F] https://doi.org/10.1117/12.847673

Generalized representations and universal aspects of Lamb wave dispersion relations. / Amjad, U.; Tarar, K. S.; Shelke, A.; Kundu, Tribikram; Pluta, M.; Grill, W.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7650 PART 1. ed. 2010. 76502F.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Amjad, U, Tarar, KS, Shelke, A, Kundu, T, Pluta, M & Grill, W 2010, Generalized representations and universal aspects of Lamb wave dispersion relations. in Proceedings of SPIE - The International Society for Optical Engineering. PART 1 edn, vol. 7650, 76502F, Health Monitoring of Structural and Biological Systems 2010, San Diego, CA, United States, 3/8/10. https://doi.org/10.1117/12.847673
Amjad U, Tarar KS, Shelke A, Kundu T, Pluta M, Grill W. Generalized representations and universal aspects of Lamb wave dispersion relations. In Proceedings of SPIE - The International Society for Optical Engineering. PART 1 ed. Vol. 7650. 2010. 76502F https://doi.org/10.1117/12.847673
Amjad, U. ; Tarar, K. S. ; Shelke, A. ; Kundu, Tribikram ; Pluta, M. ; Grill, W. / Generalized representations and universal aspects of Lamb wave dispersion relations. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7650 PART 1. ed. 2010.
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