A mean-field model for transformation induced plasticity including backstress effects for non-proportional loadings

A viable model for the phenomenon of transformation induced plasticity must be able to predict the strain response to arbitrary, also non-proportional loading paths. The constitutive model presented in this paper is interfacing between the macro- and the mesoscale by stress partitioning in the parent and product phase, using a nonlinear scale transition rule. As one of the key features a mean field tensor representing the orientation strain contribution is introduced taking into account backstress effects. A good agreement of the model results with experiments on a maraging steel is achieved.

► The model predicts the TRIP strain response to non-proportional loadings.
► A mean-field orientation tensor includes backstress effects.
► The kinetic law accounts for stress assisted and strain induced transformation.