Introduction to the level-set full field modeling of laths spheroidization phenomenon in α/β titanium alloys

Abstract

Abstract. Fragmentation of α lamellae and subsequent spheroidization of α laths in α/β titanium alloys occurring during and after deformation are well known phenomena. We will illustrate the development of a new finite element methodology to model them. This new methodology is based on a level set framework to model the deformation and the ad hoc simultaneous and/or subsequent interfaces kinetics. We will focus, at yet, on the modeling of the surface diffusion at the α/β phase interfaces and the motion by mean curvature at the α/α grain interfaces.

Full Field Model Describing Phase Front Propagation, Transformation Strains, Chemical Partitioning, and Diffusion in Solid–Solid Phase Transformations

“…The phase propagation speed is used as an input of the model, hence the physics affecting the interface propagation can be implemented in the model, when the propagation speed can be calculated based on them. [29,30] The cellular automata methods rely on constructing rules for the interface propagation, which can then be used for predicting the evolution of the system. The main difficulty in implementing real physical mechanisms into cellular automata model is in implementing the rules that would represent the physical phenomena.…”

“…The phase propagation speed is used as an input of the model, hence the physics affecting the interface propagation can be implemented in the model, when the propagation speed can be calculated based on them. [ 29,30 ]…”