Effects of higher-order anisotropic elasticity using textured polycrystalsin 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 def ormation; Applications such as warhead/target interactions and crash-worthi ness testing are typical examples, Historically, in order to keep these ana lyses tractable, only a minimal description of the material behavior was in cluded by simplifying the material characterization down to just a few para meters. Recent works have focused on including a greater degree of informat ion regarding the micro- and meso-structure of polycrystals in the modeling of material behavior under a variety of loading conditions. One of the fir st steps in this effort is the inclusion of a material's crystallographic t exture into the estimation of elastic properties. An additional step is the extension of the constitutive modeling to include anisotropic non-linear e lastic behavior. Both of these steps are undertaken here in terms of third- order elastic stiffness tensors, as determined for various single crystal a nd polycrystal test materials of interest, and applied in three-dimensional (3-D) FEM simulation of the collapse of hemispherical shells. (C) 1999 Pub lished by Elsevier Science Ltd. All rights reserved.