Material database optimization using Monte Carlo method in engineering application

Ceramic materials were simulated numerically. The practical goal of the research was to assess numerically the average residual stress value in such materials. The scientific goal of the work was to establish a basic analytical apparatus. One of the main aspects was to create material database, enabling simulation of polycrystalline structure with random orientations of thermal expansion orthotropy axes. Monte Carlo method was adopted for this purpose. The calculation results were analyzed with the use of statistical method, which is analogous to experimental measure analysis. However, the developed methods can be readily used to analyze both ceramics and ceramic composites. Currently, the methods can take advantage of more precise geometrical description to achieve more accurate models reflecting real internal structure of the material.