Technical Brief

Derivation of Wave Mode Orthogonality From Reciprocity in Direct Notation

[+] Author and Article Information
Annamaria Pau

Department of Structural and Geotechnical Engineering,
Sapienza University of Rome,
via A. Gramsci 53,
Rome 00197, Italy
e-mail: annamaria.pau@uniroma1.it

Manuscript received October 10, 2017; final manuscript received February 24, 2018; published online March 12, 2018. Assoc. Editor: Victor Giurgiutiu.

ASME J Nondestructive Evaluation 1(2), 024501 (Mar 12, 2018) (3 pages) Paper No: NDE-17-1097; doi: 10.1115/1.4039477 History: Received October 10, 2017; Revised February 24, 2018

The purpose of this brief note is to present an alternative way of deriving the orthogonality relations for wave modes, by approaching the reciprocity relationship in direct notation, with the tools provided by tensor algebra and analysis. In this way, the classical result of elastodynamics is obtained through the instruments of continuum mechanics.

Copyright © 2018 by ASME
Topics: Waves , Tensors
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Grahic Jump Location
Fig. 1

System of coordinates used for the waveguide




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