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Effect of longitudinal stress on wave propagation in width‐constrained elastic plates with arbitrary Poisson's ratio
Author(s) -
Sobieszczyk Paweł,
Majka Marcin,
Kuźma Dominika,
Lim TeikCheng,
Zieliński Piotr
Publication year - 2015
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201552256
Subject(s) - poisson distribution , isotropy , poisson's ratio , constant (computer programming) , longitudinal wave , physics , mechanics , stress (linguistics) , range (aeronautics) , helmholtz equation , wave propagation , mathematical analysis , mathematics , materials science , optics , composite material , boundary value problem , computer science , linguistics , statistics , philosophy , programming language
The Helmholtz wave equation is derived for longitudinal waves in an elastic plate of arbitrary thickness placed in a rigid gantry ensuring a constant width. The whole range of Poisson's ratio allowed for isotropic elastic media constrained in this way is considered. The wave speed is shown to increase under a constant longitudinal compressive stress applied to the front face of the plate and to decrease when the applied stress is tensile. The effect is most pronounced for zero Poisson's ratio and it vanishes for the limiting permitted values, i.e., 1 or −1. The reported results also describe the combined effect of longitudinal stress and Poisson's ratio on the wave speed. These findings provide guidelines for designing devices aimed at a passive control of propagation of longitudinal waves in thin‐walled structures.