Microstructure Analyses and Multiscale Stochastic Modeling of Steel Structures Operated in Extreme Environment

Lepov, Valeriy; Grigoriev, Albert; Bisong, Mbelle Samuel; Achikasova, Valentina; Lepova, Kyunna; Иванова, А. В.; Balakleiskii, Nikolay; Логинов, Б. А.; Логинов, А. Б.

doi:10.1016/j.prostr.2018.12.248

Cited by 6 publications

(1 citation statement)

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“…ese steels combine soft and ductile ferrite matrix with hard constituents of bainite, martensite, and retained austenite. Properties of multiphase steels are controlled not only by volume fractions of phases and the size of particles but also by their distributions [3,13]. It concerns mainly distributions of the dislocation density [14] and the grain size [15] but other microstructural features are considered [16], as well.…”

Section: Engineering Background and Motivationmentioning

confidence: 99%

Inverse Problem in Stochastic Approach to Modelling of Microstructural Parameters in Metallic Materials during Processing

Klimczak

Oprocha

Kusiak

et al. 2022

Mathematical Problems in Engineering

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The need for a reliable prediction of the distribution of microstructural parameters in metallic materials during processing was the motivation for this work. The model describing the evolution of dislocation populations, which considers the stochastic aspects of occurring phenomena, was formulated. The validation of the presented model requires the application of proper parameters corresponding to the considered materials. These parameters have to be identified through the inverse analysis, which, on the other hand, uses optimization methods and requires the formulation of the appropriate objective function. In our case, where the model involves the stochastic parameters, it is a crucial task. Therefore, a specific form of the objective function for the inverse analysis was developed using a measure based on histograms. The elaborated original stochastic approach to modeling the phenomena occurring during the thermomechanical treatment of metals was validated on commercially pure copper and selected multiphase steel.

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