Full-Wave Simulation of the Plate Fatigue Fracturing

• Published in: Lobachevskii journal of mathematics Vol. 46; no. 1; pp. 234 - 242
• Main Authors: Khalid, W., Golubev, V. I., Khokhlov, N. I.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2025; Springer Nature B.V
• Subjects: Algebra; Analysis; Complexity; Continuum modeling; Damage; Fatigue failure; Fracturing; Geometry; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Probability Theory and Stochastic Processes; Turbine blades; deformable solid body; computer simulation; linear elastic model; grid-characteristic method; fatigue fracturing; 2010 Mathematics Subject Classification: 12345, 54321
• ISSN: 1995-0802; 1818-9962
• DOI: 10.1134/S1995080224608518

The process of fatigue fracturing is very important in aircraft manufacturing. The turbine blades are loaded during each flight with tiny amplitudes, but it still leads to their damage. The elaboration of modern laboratory devices for very high cycling loading allows us to test the materials under high-frequency loading. The computer simulation in this domain can give us the data, that is necessary to construct reliable mechanical models. In this work, the problem of the fatigue fracturing of the plate with the hole is considered. The full-wave simulation of each cycle of the loading was carried out using the grid-characteristic method. The usage of the overlapping grids allows us to describe the complex form of the hole without significant increases in the computational complexity. The multi-modal continuum model of destruction was used to describe the plate damage.