Effects of higher-order anisotropic elasticity using textured polycrystals in three-dimensional wave propagation problems

Increasingly, more precise analysis of components in complicated systems is required to better understand material behavior under high strain-rate deformation. Applications such as warhead/target interactions and crash-worthiness testing are typical examples. Historically, in order to keep these analyses tractable, only a minimal description of the material behavior was included by simplifying the material characterization down to just a few parameters. Recent works have focused on including a greater degree of information regarding the micro- and meso-structure of polycrystals in the modeling of material behavior under a variety of loading conditions. One of the first steps in this effort is the inclusion of a material's crystallographic texture into the estimation of elastic properties. An additional step is the extension of the constitutive modeling to include anisotropic non-linear elastic behavior. Both of these steps are undertaken here in terms of third-order elastic stiffness tensors, as determined for various single crystal and polycrystal test materials of interest, and applied in three-dimensional (3-D) FEM simulation of the collapse of hemispherical shells.