Markov approximation to fatigue crack size distribution
The distribution of the crack size during the fatigue crack propagation phenomenon is investigated. A Markovian modelling of the crack is introduced through the fatigue crack growth law, and the associated Fokker-Planck equation is written, with special care in specifying its boundary conditions. This equation is solved by the method of separation of variables and the desired distribution function is obtained in the form of a convergent infinite series. An illustrative example, demonstrating the applicability of the approach, shows satisfactory agreement between theoretical results and experimental data.
Bibliographic Reference: Article: Fatigue and Fracture of Engineering Materials and Structures, Vol. 13 (1990) No. 5, pp. 457-471
Record Number: 199011442 / Last updated on: 1994-12-02
Original language: en
Available languages: en