The growth of short cracks under cyclic loading: implementation in Fidesys

E. M. Morozov

Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 417-427.

Résumé

Considered small (short) crack in a solid body. In certain cases, there is a difference in the mechanical behavior of solid bodies in the presence of short or long cracks in the same place details. Discusses some of the effects arising from cyclic loading during the initial growth of short cracks, and transforming it into a long. The urgency of the problem of small cracks are fairly obvious, but it is not clear what the crack is considered small. It is possible to give several definitions of small cracks. For example, it is convenient to refer to the small cracks are those that meet the lower resolution limit of the flaw detection equipment. However, the resulting absolute sizes are not associated with the process of the mechanical behavior of body with crack. Better the crack length comparable with the characteristic width of the specimen (parts) or diameter of the plastic zone at the tip of the crack. Under cyclic loading the behavior of cracks in the area of concentration also has its own characteristics, which are expressed in the initial acceleration of the crack, and then, with increasing length, her speed drops. Among the considered types of short cracks can be identified cracks that entirely fit in the areas of high stresses around notches. Such cracks are called mechanically short. The length of such cracks is comparable with the crack length, determining a threshold stress intensity factors in the experiments to determine the characteristics of cyclic crack resistance. As can be seen from the calculations, the mechanically short crack grows rapidly at first, but as the field of concentration, reaches a minimum and then increases again, leaving a region of concentration. Further, the crack goes into the category of long, following the classic formula of Paris.

Détail

Keywords: short cracks, cyclic loading, classification of notches, the crack growth rate.

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