A visco-plastic constitutive model for single crystal InP was proposed and embedded in the ABAQUS finite element software through a user-defined subroutine. 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 completed and verified through its application to the constant strain rate uniaxial deformation tests and comparison with the experimental data. It was then used to simulate uniaxial deformation tests with different axes of orientation, temperature and strain rates. Multi-slip deformations and high strain rates lead to high dislocation densities, while the temperature has a mixed effect depending on the strain. The model developed here and the insights gained through selected simulations were used to study dislocation development during the growth of single-crystal InP via 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