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Title: Variation in the dispersion of axisymmetric waves in infinite circular rods with crystallographic wire texture

Abstract

This paper presents the solution to the frequency equation for a number of polycrystalline, textured circular rods having transverse isotropy. The effective, second-order elastic stiffness tensors were estimated using the recursive general Hill arithmetic mean (GHAM). The velocity dispersion curves for a number of combinations of materials and crystallographic fiber or wire textures were calculated and the variation due to texture displayed. At large wavelengths, the velocity dispersion of fiber textured materials exhibits a lowest-order axisymmetric mode which varies only with the directional Poisson[close quote]s ratios in a manner similar to that of isotropic aggregates. In this wavelength regime, the waves propagate nondispersively at the wave speed, C[sub 0], as dictated by the directional Young[close quote]s modulus. At wavelengths smaller than the rod radius, the dispersion curves were more influenced by the full anisotropy of the wire textures. At these wavelengths, the dispersion curves for the anisotropic materials deviated significantly from those of the isotropic materials and one another with the higher axisymmetric vibration modes exhibiting extreme differences. This deviation is a function of the single crystal anisotropy and nature of the wire textures. < --[AN] -->

Authors:
 [1]
  1. (Materials Science and Technology Division, MS G755, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States))
Publication Date:
OSTI Identifier:
6296264
Alternate Identifier(s):
OSTI ID: 6296264
Resource Type:
Journal Article
Journal Name:
Journal of the Acoustical Society of America
Additional Journal Information:
Journal Volume: 106:3; Journal ID: ISSN 0001-4966
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACOUSTICS; DISPERSIONS; RODS; TEXTURE; WAVE PROPAGATION; WIRES 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Mason, T.A. Variation in the dispersion of axisymmetric waves in infinite circular rods with crystallographic wire texture. United States: N. p., 1999. Web. doi:10.1121/1.427160.
Mason, T.A. Variation in the dispersion of axisymmetric waves in infinite circular rods with crystallographic wire texture. United States. doi:10.1121/1.427160.
Mason, T.A. Wed . "Variation in the dispersion of axisymmetric waves in infinite circular rods with crystallographic wire texture". United States. doi:10.1121/1.427160.
@article{osti_6296264,
title = {Variation in the dispersion of axisymmetric waves in infinite circular rods with crystallographic wire texture},
author = {Mason, T.A.},
abstractNote = {This paper presents the solution to the frequency equation for a number of polycrystalline, textured circular rods having transverse isotropy. The effective, second-order elastic stiffness tensors were estimated using the recursive general Hill arithmetic mean (GHAM). The velocity dispersion curves for a number of combinations of materials and crystallographic fiber or wire textures were calculated and the variation due to texture displayed. At large wavelengths, the velocity dispersion of fiber textured materials exhibits a lowest-order axisymmetric mode which varies only with the directional Poisson[close quote]s ratios in a manner similar to that of isotropic aggregates. In this wavelength regime, the waves propagate nondispersively at the wave speed, C[sub 0], as dictated by the directional Young[close quote]s modulus. At wavelengths smaller than the rod radius, the dispersion curves were more influenced by the full anisotropy of the wire textures. At these wavelengths, the dispersion curves for the anisotropic materials deviated significantly from those of the isotropic materials and one another with the higher axisymmetric vibration modes exhibiting extreme differences. This deviation is a function of the single crystal anisotropy and nature of the wire textures. < --[AN] -->},
doi = {10.1121/1.427160},
journal = {Journal of the Acoustical Society of America},
issn = {0001-4966},
number = ,
volume = 106:3,
place = {United States},
year = {1999},
month = {9}
}