On the acoustoelasticity of polycrystalline materials

Christopher M. Kube; Andrea Arguelles; Joseph A. Turner

doi:10.1121/1.4928720

On the acoustoelasticity of polycrystalline materials

Christopher M. Kube, Andrea Arguelles, Joseph A. Turner

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English (US)
Pages (from-to)	1498-1507
Number of pages	10
Journal	Journal of the Acoustical Society of America
Volume	138
Issue number	3
DOIs	https://doi.org/10.1121/1.4928720
State	Published - Sep 1 2015

All Science Journal Classification (ASJC) codes

Arts and Humanities (miscellaneous)
Acoustics and Ultrasonics

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AU - Arguelles, Andrea

AU - Turner, Joseph A.

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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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On the acoustoelasticity of polycrystalline materials

Abstract

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