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.

Derivation of wave mode orthogonality from reciprocity in direct notation / Pau, A. - In: JOURNAL OF NONDESTRUCTIVE EVALUATION, DIAGNOSTICS AND PROGNOSTICS OF ENGINEERING SYSTEMS. - ISSN 2572-3901. - 1:(2018), pp. 0245011-0245013. [10.1115/1.4039477]

Derivation of wave mode orthogonality from reciprocity in direct notation

Pau A
Writing – Review & Editing
2018

Abstract

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.
2018
elastodynamics, reciprocity, wave mode orthogonality, direct notation
01 Pubblicazione su rivista::01a Articolo in rivista
Derivation of wave mode orthogonality from reciprocity in direct notation / Pau, A. - In: JOURNAL OF NONDESTRUCTIVE EVALUATION, DIAGNOSTICS AND PROGNOSTICS OF ENGINEERING SYSTEMS. - ISSN 2572-3901. - 1:(2018), pp. 0245011-0245013. [10.1115/1.4039477]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1074278
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