A visco-plastic constitutive model for single crystal InP was proposed and embedded into finite element software via a user-defined sub-routine. The model was a multi-slip generalization of the Alexander–Haasen model, with measures for dislocation densities on each of the known slip systems acting as internal variables. The model was verified by its application to constant strain rate uni-axial deformation tests and comparison with experimental data. It was then used to simulate uni-axial deformation tests with different axes of orientation, temperature and strain rate. Multi-slip deformations and high strain rates led to high dislocation densities, while the temperature had a mixed effect, depending upon the strain. The model developed here and the insights gained by selected simulations were used to study dislocation development during the growth of single crystal InP in the high-pressure Czochralski process.

Modelling Dislocation Generation in High Pressure Czochralski Growth of InP Single Crystals - I. S.Pendurti, V.Prasad, H.Zhang: Modelling and Simulation in Materials Science and Engineering, 2005, 13[2], 249-66