Inverse Problem in Stochastic Approach to Modelling of Microstructural Parameters in Metallic Materials during Processing. (12th April 2022)

• Record Type: Journal Article
• Authors: Klimczak, Konrad; Oprocha, Piotr; Kusiak, Jan; Szeliga, Danuta; Morkisz, Paweł; Przybyłowicz, Paweł; Czyżewska, Natalia; Pietrzyk, Maciej
• Other Names: Pereira A. M. Bastos Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-04-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/9690742
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.