Abstract
An integration scheme is presented for modeling the texture evolution and stress-strain response of elasto-viscoplastic polycrystalline materials. Single crystal kinematics based on a multiplicative decomposition of the deformation gradient is used to obtain an evolution equation for the crystal elastic deformation gradient. An implicit scheme to integrate this equation is presented which is stable and efficient. The reorientation of the crystal as well as the elastic strain can then be obtained from a polar decomposition of the elastic deformation gradient. Numerical studies are presented using material parameters for aluminum (FCC crystals) and zircaloy (HCP crystals) to demonstrate the general nature of the model. Predictions of the model are also compared with those obtained using a rigid-viscoplastic polycrystal model which neglects the elastic response. Retaining the elastic response makes the model useful for large deformation analyses where both anisotropy due to texture as well as elastic effects such as springback and residual stresses are important.
| Original language | English |
|---|---|
| Pages (from-to) | 1219-1238 |
| Number of pages | 20 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 47 |
| Issue number | 6 |
| DOIs | |
| State | Published - Apr 14 1999 |
Funding
This research was sponsored by the U.S. Navy, Office of Naval Research under interagency agreement DOE No. 1866-E126-A1, Navy No. N000014-92-F-0063, and by the Division of Materials Science, U.S. Department of Energy, under contract DE-AC05-96OR22464 with Lockheed Martin Energy Research Corporation. The research was supported in part by an appointment to the Oak Ridge National Laboratory Postdoctoral Research Associates Program administered jointly by the Oak Ridge National Laboratory and Oak Ridge Institute for Science and Education. The authors are grateful to one of the referees for valuable suggestions to improve the integration method.