The Fatigue Damage Accumulation on Systems of Concentrators
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53558", author = "Alexander Urbach and Mukharbij Banov and Vladislav Turko", title = "The Fatigue Damage Accumulation on Systems of Concentrators", abstract = "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.", volume = "5", number = "11", pages = "2245-6", }