Variational Methods in Non-Convex Plasticity
We show how the theory of crystals with microstructure developed by Ortiz et al. can be applied to predict salient aspects of the body of experimental data compiled by Hughes et al. regarding lamellar dislocation structures in crystals deformed to large strains. The theory correctly predicts the statistics of misorientation angles and lamellar boundary spacings; and the scaling of the average misorientation and spacing with increasing macroscopic strain.
© Springer Science+Business Media Dordrecht 2003. We are grateful for support provided by the US Department of Energy through Caltech's ASCI/ASAP Center for the Simulation of the Dynamic Behavior of Solids. We are also indebted to Darcy Hughes for many useful discussions and suggestions, and for making her data available to us.