Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31533
The Fatigue Damage Accumulation on Systems of Concentrators

Authors: Alexander Urbach, Mukharbij Banov, Vladislav Turko


Fatigue tests of specimen-s with numerous holes are presented. The tests were made up till fatigue cracks have been created on both sides of the hole. Their extension was stopping with pressed plastic deformation at the mouth of the detected crack. It is shown that the moments of occurrence of cracks on holes are stochastically dependent. This dependence has positive and negative correlation relations. Shown that the positive correlation is formed across of the applied force, while negative one – along it. The negative relationship extends over a greater distance. The mathematical model of dependence area formation is represented as well as the estimating of model parameters. The positive correlation of fatigue cracks origination can be considered as an extension of one main crack. With negative correlation the first crack locates the place of its origin, leading to the appearance of multiple cracks; do not merge with each other.

Keywords: Correlation analysis, fatigue damage accumulation, local area, mathematical model.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1362


[1] V. P. Turko, "Model of fatigue fracture at low stress levels," in Proceedings of International Symposium: The strength of materials and structural elements at sonic and ultrasonic frequencies of loading. 1984 Kiev, p.59
[2] V. P. Turko . "Estimation of Fatigue Durability Dispersion in Operation by Results of Tests and Loading Measurements". -The Scientific Journal of Riga Technical University, Vol. 34, Riga, Part 6, Transport and Engineering, Intelligent Transport Systems, RTU, 2010, pp.17-22.
[3] V. E Sarkhan, B. G.Greenberg, An Introduction to the Theory of Order Statistics . Moscow, Statistika, 1970,414p.
[4] P. Muller, P. Noiman, R. Storm, The Tables of Mathematical Statistics., Moscow, Finanses and Statistika,1982, 278 p.
[5] V. P. Turko "Reliability of systems with operation dependent elements". Proc.of. Riga Polytechnic Institute: The accuracy and reliability of mechanical systems. Problems and methods of technical diagnostics. Riga, 1984ð│., pp.71...79
[6] L. Sachs, Statistische Ausvertungsmethoden., Moscow,Statistika,1976, 600 p.
[7] C. Forster, B. Ronz, The Methods of the Correlation and Regression Analyses, Moscow, Finanses and Statistika,1983,302 p.
[8] M. Kendall, M. Stuart, Statistical Relations and Findings, Moscow, Nauka, 1979,966 p.
[9] H. David, The Order Statistics, Moscow, Nauka, 1979, 366 p.
[10] G. Seber, The Linear Regression Analyses, Moscow, Mir, 1980, 456 p.