Abstract
The transformation induced plasticity in steels is studied using a tangent micromechanical modelling. The modelization is based on a physical kinematic description of the transformation itself using the local Bain strain rate of martensite variants and their volume fractions. The local behavior of each phase being supposed to be known, a classical micromechanical approach (Green tensors) is used to get the macroscopic behavior including de facto the complex coupling between plasticity arising from the thermomechanical loading and from the internal stresses due to the incompatible transformation strain. The model is then discussed using Taylor-Lin and a self consistent approximations and applied in the last case to a two-phase medium where simple equations are derived. Comparisons with other models are made for an isotropic, incompressible two-phase steel in the case of a cooling under uniaxial constant applied stress.
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