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IssuesArchive of Issues2021-5pp.702-714

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Gadzhibekov T.A. and Ilyashenko A.V., "Theoretical Aspects of the Application of Pochhammer-Chree Waves to the Problems of Determining the Dynamic Poisson's Ratio," Mech. Solids. 56 (5), 702-714 (2021)
Year 2021 Volume 56 Number 5 Pages 702-714
DOI 10.3103/S0025654421050095
Title Theoretical Aspects of the Application of Pochhammer-Chree Waves to the Problems of Determining the Dynamic Poisson's Ratio
Author(s) Gadzhibekov T.A. (Bauman Moscow State Technical University, Moscow, 105005 Russia)
Ilyashenko A.V. (Moscow State University of Civil Engineering (National Research University), Moscow, 129337 Russia, avi_56@mail.ru)
Abstract The theoretical aspects of the application of Pochhammer-Chree acoustic waves in nondestructive diagnostics are analyzed. The main focus is on longitudinal axially symmetric harmonic modes. The analysis of dispersion curves for rods made of auxetic materials (materials with negative Poisson's ratio) is given for the first time. Dispersion curves are obtained in the vicinity of the second limiting velocity, revealing the sensitivity of the values of the second limiting velocity to the variation of Poisson's ratio.
Keywords Pochhammer-Chree waves, polarization, dispersion, Poisson’s ratio, limiting velocity
Received 20 June 2020Revised 28 July 2020Accepted 31 August 2020
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