The article has been published in the Russian Physics Journal. The research was conducted with financial support from the Ministry of Education and Science of Russia as part of the national project "Science and Universities".
Thermomechanical processing involves a series of operations including deformation, heating, holding, and cooling of metal alloys to achieve the desired structure and properties. During this processing, various mechanisms of structural reconfiguration are activated, with one of the key mechanisms being recrystallization, during which low-defect grains are formed. As processing continues, these grains grow by absorbing neighboring, more defective grains. This results in a structure with new properties.
Previously, researchers from PNIPU developed a multilevel model to describe these processes. The model includes a set of relationships and parameters that allow for a detailed consideration of the active mechanisms of structural change. However, to obtain reliable numerical results, it is essential to accurately determine the model parameters by comparing them with experimental data.
Scientists from Perm Polytechnic conducted parameter identification for the developed model using numerical optimization methods. The identification was carried out in two stages. In the first stage, approximate estimates of the parameter values were obtained. In the second stage, these values were refined by solving an optimization problem aimed at minimizing the deviation between experimental and calculated data.
“The optimization procedure enables the acquisition of physically justified parameter values for the model. Following its implementation, the correspondence between numerical and experimental data approached one percent, confirming the accuracy and correctness of the procedure. The advantage of the proposed method lies in the ability to perform identification using only experimental deformation diagrams in the absence of additional data on the structure,” comments Nikita Kondratiev, PhD in Physics and Mathematics, head of the laboratory for multilevel modeling of structural and functional materials at PNIPU.
The research by PNIPU scientists will allow for more accurate predictions of changes in the structure and properties of materials as a result of thermomechanical processing. This enables the design of functional materials and components with optimal operational characteristics, thus reducing the risks of producing defective products.