A Structural Multiscale Approach to the Modeling of Evolutionary Processes in Materials with Internal Microstructure

Abstract

The article describes the main provisions and the application of a structured approach to building a multilevel model of damage accumulation and fracture of materials of different nature with the structure of defects at different scales.As the basis of the study an approach of micro-macroscopic physical modeling was adopted, which has been developed for complex multilevel (multiscale) systems with internal microstructure and evolving under the action of external factors. As a rule, this leads to the process of damage accumulation in the material, and subsequent fracture. The analysis of existing multi-level approaches has been done, and the possibility of creating full-scale models on the basis of theoretical analysis and experimental data has been discussed. The authors on the basis of works of domestic and foreign authors come to conclusion about the necessity of the experiment at submicroscopic level, allowing to quantify the process of damage accumulation and to identify the patterns of fracture. The novelty of the approach is the use of structural models and Verhulst logistic function to assess the evolution of damage at several structural levels, as well as direct experimental in situ observation of damage processes at the nanolevel. The study also describes the prospects of non-Markovian approach and Bayesian probability interpretation for safety evaluation and lifetime prediction of equipment operated in the North conditions.