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Zero group velocity longitudinal modes in an isotropic cylinder

Zero group velocity longitudinal modes in an isotropic cylinder Abstract Zero group velocity (ZGV) modes are studied in an isotropic cylinder. The L(0, 2) mode behaves anomalously for the materials with a value of the bulk velocity ratio, \(\kappa \), in the range \(\sqrt{2}<\kappa <2.64\) and normally otherwise. All higher modes, except the first few, have no ZGV point for all isotropic materials. This is explained analytically by finding the slope of phase velocity dispersion curves of modes first when the phase velocity equals \(\kappa \) and then at their initial state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

Zero group velocity longitudinal modes in an isotropic cylinder

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References (19)

Publisher
Springer Journals
Copyright
2017 The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/s10409-017-0730-3
Publisher site
See Article on Publisher Site

Abstract

Abstract Zero group velocity (ZGV) modes are studied in an isotropic cylinder. The L(0, 2) mode behaves anomalously for the materials with a value of the bulk velocity ratio, \(\kappa \), in the range \(\sqrt{2}<\kappa <2.64\) and normally otherwise. All higher modes, except the first few, have no ZGV point for all isotropic materials. This is explained analytically by finding the slope of phase velocity dispersion curves of modes first when the phase velocity equals \(\kappa \) and then at their initial state.

Journal

"Acta Mechanica Sinica"Springer Journals

Published: Jun 1, 2018

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