Stress Strain Curve Prediction of Single Crystal Using Sachs Deformation Texture Model Combined with Dislocation Theory

Abstract

Combining the Sachs deformation model with the dislocation theory, we can predict the stress-strain curve for both face centered cubic (FCC) and body centered cubic (BCC) single crystals generally. Residual dislocation densities are estimated from total amount of microscopic slip, considering cross-slipped dislocations and sessile dislocations. Stresses are calculated from estimated dislocation densities using the Bailey-Hirsch relationship. Finally, we showed a calculation example of the Sachs deformation model to explain low-angle boundary formation.