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
Manuscript received October 10, 2017; final manuscript received February 24, 2018; published online March 12, 2018. Assoc. Editor: Victor Giurgiutiu.
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Pau, A. (March 12, 2018). "Derivation of Wave Mode Orthogonality From Reciprocity in Direct Notation." ASME. ASME J Nondestructive Evaluation. May 2018; 1(2): 024501. https://doi.org/10.1115/1.4039477
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