On the acoustoelasticity of polycrystalline materials

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A linear relation between the strains and stresses of a crystallite within a polycrystal is used to homogenize the polycrystal's elastic properties. The homogenization parallels the self-consistent method that is used for estimating the polycrystal's linear elastic properties. Acoustoelasticity for a macroscopically isotropic polycrystal is then formulated using a homogenized constitutive equation with initial stress. Simple expressions are given for the phase velocities and polarization directions for a uniaxially stressed polycrystal. The present model is compared with the model of Man and Paroni [J. Elast. 45, 91-116 (1996)]. Strong anisotropy of the crystallite elastic constants causes the present model to differ noticeably from the model of Man and Paroni.

Original languageEnglish (US)
Pages (from-to)1498-1507
Number of pages10
JournalJournal of the Acoustical Society of America
Volume138
Issue number3
DOIs
StatePublished - Sep 1 2015

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polycrystals
elastic properties
constitutive equations
homogenizing
phase velocity
estimating
anisotropy
causes
polarization

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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On the acoustoelasticity of polycrystalline materials. / Kube, Christopher; Arguelles, Andrea; Turner, Joseph A.

In: Journal of the Acoustical Society of America, Vol. 138, No. 3, 01.09.2015, p. 1498-1507.

Research output: Contribution to journalArticle

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AB - A linear relation between the strains and stresses of a crystallite within a polycrystal is used to homogenize the polycrystal's elastic properties. The homogenization parallels the self-consistent method that is used for estimating the polycrystal's linear elastic properties. Acoustoelasticity for a macroscopically isotropic polycrystal is then formulated using a homogenized constitutive equation with initial stress. Simple expressions are given for the phase velocities and polarization directions for a uniaxially stressed polycrystal. The present model is compared with the model of Man and Paroni [J. Elast. 45, 91-116 (1996)]. Strong anisotropy of the crystallite elastic constants causes the present model to differ noticeably from the model of Man and Paroni.

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