Publications
Micromechanical modelling of the cyclic deformation behavior of martensitic SAE 4150—a comparison of different kinematic hardening models
B. J. Schaefer, X. Song, P. Sonnweber-Ribic, H. u. Hassan, A. Hartmaier.
Metals, MDPI, Basel, Switzerland, 9, 368, (2019)
Abstract
A fundamental prerequisite for the micromechanical simulation of fatigue is the appropriate
modelling of the effective cyclic properties of the considered material. Therefore, kinematic hardening
formulations on the slip system level are of crucial importance due to their fundamental relevance
in cyclic material modelling. The focus of this study is the comparison of three different kinematic
hardening models (Armstrong Frederick, Chaboche, and Ohno–Wang). In this work, investigations
are performed on the modelling and prediction of the cyclic stress-strain behavior of the martensitic
high-strength steel SAE 4150 for two different total strain ratios (R# = ?1 and R# = 0). In the first
step, a three-dimensional martensitic microstructure model is developed by using multiscale Voronoi
tessellations. Based on this martensitic representative volume element, micromechanical simulations
are performed by a crystal plasticity finite element model. For the constitutive model calibration,
a new multi-objective calibration procedure incorporating a sensitivity analysis as well as an
evolutionary algorithm is presented. The numerical results of different kinematic hardening models
are compared to experimental data with respect to the appropriate modelling of the Bauschinger
effect and the mean stress relaxation behavior at R# = 0. It is concluded that the Ohno–Wang model is
superior to the Armstrong Frederick and Chaboche kinematic hardening model at Rε = -1 as well as at Rε = 0.
Keyword(s): martensitic steel; fatigue; crystal plasticity; kinematic hardening models
DOI: 10.3390/met9030368
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