Three-dimensional geometric simulations of random anisotropic growth during transformation phenomena

In this paper, the effects of anisotropic growth during transformation processes are investigated by geometric simulations of randomly oriented shape preserved ellipsoids in three dimensions and the applicability of idealized models are tested. Surprisingly, the results show that the models can predict the results for random ellipsoids up to aspect ratios of at least four, making the effects of random anisotropic growth less pronounced than what has previously been predicted from two-dimensional simulations or other, more restrictive three-dimensional simulations.