Prediction of stored energy in polycrystalline materials during cyclic loading

Abstract

The effect of initial texture on the stored energy is investigated. Uniaxially loaded polycrystalline materials with initial textures based on the Goss component and the Brass component are analyzed. For reference purposes a single crystal and an initial isotropic crystal orientation distribution are also analyzed. Special attention is directed at the thermomechanical behavior of polycrystalline material during cyclic loading, the temperature evolution and change in stored energy are studied. Cyclic loading of Cook’s membrane is also considered. The simulations are done using a rate-dependent crystal plasticity model for large deformations formulated within a thermodynamic framework. It is shown that incorporation of the latent-hardening into the Helmholtz free energy function and use of evolution laws of appropriate form allows a thermodynamically consistent heat generation due to plastic work.