Initiation and Crack Propagation in Complex Structures Considering Total Value of Loading


Article Preview

For accurate determination of the service life we must take into account the loading, which are in most cases random loading of variable amplitude, the geometry and material properties of construction elements which are known not to be constants. The more precise these input parameters are modeled; the more precise and reliable are the results. In our paper we will deal in detail with the model of crack initiation and propagation in the complex structures as a basis of the algorithm for calculating the service life. For determination of the service life for the area of short cracks we used Bilby, Cottrell and Swinden model which is based on the theory of continuously distributed dislocations and we complemented it with random generation of structure of material before cracks. For the long crack we have developed a stochastic model for determination of service life.



Key Engineering Materials (Volumes 324-325)

Edited by:

M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz




B. Aberšek et al., "Initiation and Crack Propagation in Complex Structures Considering Total Value of Loading", Key Engineering Materials, Vols. 324-325, pp. 787-792, 2006

Online since:

November 2006




[1] B. Aberšek and J. Flašker : How gears break, WIT Press, (2004).

[2] J. Flašker and B. Aberšek: Defining Residual Stresses by Applying the FEM, Communication in Applied Numerical Methods, Vol. 7, 589-594, (1991).


[3] G.J. Schajer: Application of Finite Element Calculation to Residual Stresses Measurement, Journal of Engineering Material and Techniques, (1981).

[4] M. Kojiya, J. Komura, and S. Awazu: Estimation of Residual Stresses Distribution in Case Hardened Steel Bars, Trans. Japan Society of Mechanical Engineering, (1972), Vol. 38, No. 312, p.1961-(1967).


[5] B. Aberšek, J. Flašker and S. Glodež: Review of mathematical and experimental models for determination of service life of gears. Eng. fract. mech. vol. 71, iss. 4/6, 439-453, (2004).


[6] J. W. Provan: Probabilistic Fracture Mechanics and Reliability, Martinus Nijhoff Publishers, Dordrecht, Boston, Lancaster, (1987).

[7] B. Aberšek and J. Flašker: Numerical methods for evaluation of service life of gear, International Journal for Numerical Methods in Engineering, Vol. 38, 2531-2545, (1995).