title: On the acoustoelasticity of polycrystalline materials.
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.
authors.affiliation: Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, W342 Nebraska Hall, Lincoln, Nebraska 68588-0526, USA.
authors.forename: Christopher M
authors.initials: CM
authors.lastname: Kube
authors.affiliation: Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, W342 Nebraska Hall, Lincoln, Nebraska 68588-0526, USA.
authors.forename: Andrea
authors.initials: A
authors.lastname: Arguelles
authors.affiliation: Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, W342 Nebraska Hall, Lincoln, Nebraska 68588-0526, USA.
authors.forename: Joseph A
authors.initials: JA
authors.lastname: Turner
mesh_terms: D000162:Acoustics; D003460:Crystallization; D004548:Elasticity; D008956:Models, Chemical; D013314:Stress, Mechanical