An evaluation of discrepancies between CPFE simulations and mean-field approximations for dual phase materials

Shahrzad Mirhosseini¹ , E.H. Atzema^1,2, A.H. van den Boogaard¹

¹Chair of Nonlinear Solid Mechanics, University of Twente, 7522 NB Enschede, The Netherlands.

²Tata Steel Research and Development, 1970 CA, IJmuiden, The Netherlands.

DOI:

https://doi.org/10.7494/cmms.2025.3.1024

Abstract:

This paper explores the discrepancies observed between 2D and 3D crystal plasticity finite element (CPFE) simulations and mean-field approximations in terms of macroscopic flow curves. Two hypotheses are proposed to address the discrepancies: (1) the type of yield function in the mean-field approach (2) differences in stress states between the two methodologies. Based on the first hypothesis, the type of yield function may influence the stress-strain partitioning in the mean-field approach. Consequently, the von Mises criterion is replaced with the Hershey yield function. To test the second hypothesis, CPFE simulations are extended to 3D to achieve comparable stress states in both methods. This analysis reveals that the exact shape of the yield function has a marginal impact on the discrepancies, whereas the proper 3D stress distribution significantly reduces them. This comprehensive study also uncovers a limitation of the mean-field approach in terms of accuracy in the prediction of macroscopic material response and stress partitioning for a two-phase polycrystalline material.

Cite as:

Mirhosseini, S., Atzema, E., & van den Boogaard, A. (2025). An evaluation of discrepancies between CPFE simulations and mean-field approximations for dual phase materials. Computer Methods in Materials Science, 25(3), – . https://doi.org/10.7494/cmms.2025.3.1024

Article (PDF):

Accepted Manuscript – final pdf version coming soon

Keywords:

Crystal plasticity, Finite element simulations, Mean-field model, Hershey yield function, Arbitrarily-shaped RVEs, Periodic boundary conditions

Publication dates:

Received: 08.06.2025, Accepted: 15.09.2025, Published: XX.10.2025

References: