Abstract

A new full field numerical approach for the simulation of dynamic and post-dynamic recrystallization will be detailed. A level Set framework is employed to link a crystal plasticity finite element method with the modeling of recrystallization. Plasticity is calculated through the activation of slip systems and provides predictions for both SSDs and GNDs densities. These predictions control the activation and kinetics of recrystallization. All the developments are applied on 304L stainless steel.

Highlights

  • A new full field numerical approach for the simulation of dynamic and post-dynamic recrystallization will be detailed

  • The nucleation of new grains can occur during the deformation and continue during an annealing treatment, or it can be fully activated after the dynamic step during this posttreatment

  • The deterministic methods rely on solving systems of partial differential equations (PDEs)

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Summary

Ve Ve

Where *4 is the reference slip rate, is the sensitivity exponent, 0R is the local shear stress on slip system and 0ER is the critical resolved shear stress (CRSS) required to activate the gliding. 0) is related to the macroscopic stress / through the Schmidt tensor R , which is calculated for each slip system ), 0R l R: /. When a grain boundary is moving, it leaves a dislocation-free area behind To reproduce this phenomenon in our FFA model, we chose to reset the dislocation densities SSD and GND behind the recrystallization front. Thanks to the LS functions describing the grain boundaries, it is easy to identify which area has been recrystallized and reset the energy field at the corresponding mesh elements. It is commonly accepted that the new orientation in this area will be similar to the orientation of the grain it has grown from The nucleation events occur when the dislocation density reaches a critical value, meaning that the material has stored more energy than it can handle. In order to ensure that the nucleus do not shrink as soon as it appears, its initial radius HKH is chosen greater than the local critical radius EN defined as follow: HKH n

EN l
In order to test our formulation we built a classical

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