Simulation in 2D of a martensitic transformation in a ferrous alloy

It is noted in experiments that a test-tube undergoing a transformation of phase under a mechanical loading, even lower than the elastic limit, present a residual deformation much more important than the simple change of volume associated with the transformation. This plastic deformation, added with that generated by the changes with volume, plasticity of transformation is called. It is as well observed at the time of diffusive transformations like for the martensitic transformations. At the time of a martensitic transformation, martensite slats are created, each one in a random direction and create a microscopic deformation according to this direction. From a macroscopic point of view, the deformation is isotropic and corresponds to the change of volume at the time of the transformation. If the same transformation is operated under loading, even very weak, the martensite slats tend to be directed in the direction of the request. Then, in addition to the change of volume, this preferential orientation creates a macroscopic deformation in the direction of request. In this work, one proposes a method of quantification of this deformation of the plasticity of transformation, which is induced by this structural change, by using the model of WEN. This model is a micromechanical model two-dimensional, with a grid with triangular basic elements. The grid of the cell breaks up into two zones: a central zone (of a size of 14x14) where the transformation occurs and a second zone, which represents the surrounding medium, in the objective to ensure the interactions with the close grains. The total size of the grid is of 22x22 bricks. This modelling takes into account the transformations anisothermes. The selection criterion of the plates is controlled not only by driving energies (i.e. the mechanical driving force and the chemical driving force), but also by a resistive