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 | |
| State | Published - Sep 1 2015 |
All Science Journal Classification (ASJC) codes
- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics