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Acta Mechanica Sinica
Published in: Acta Mechanica Sinica 3/2018

15-12-2017 | Research Paper

Zero group velocity longitudinal modes in an isotropic cylinder

Authors: Takasar Hussain, Faiz Ahmad, Muhammad Ozair

Published in: Acta Mechanica Sinica | Issue 3/2018

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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.
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Metadata
Title
Zero group velocity longitudinal modes in an isotropic cylinder
Authors
Takasar Hussain
Faiz Ahmad
Muhammad Ozair
Publication date
15-12-2017
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Published in
Acta Mechanica Sinica / Issue 3/2018
Print ISSN: 0567-7718
Electronic ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-017-0730-3

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