TITLE:
Determination of Fracture Plane Orientation Using the Variance Method under Multiaxial Loading
AUTHORS:
Mbaiyelkom Esdras, Ngargueudedjim Kimtangar, Bianzeube Tikri, Kenmeugne Bienvenu, Fogue Médard
KEYWORDS:
Biaxial Fatigue, Fracture Plane Orientation, Critical Fracture Plane, Variance Method, Fatigue Criteria
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.15 No.2,
February
20,
2025
ABSTRACT: The prediction of the fracture plane orientation in fatigue is a scientific topic and remains relevant for every type of material. However, in this work, we compared the orientation of the fracture plane obtained experimentally through tests on specimens under multiaxial loading with that calculated by the variance method. In the statistical approach criteria, several methods have been developed but we have presented only one method, namely the variance method using the equivalent stress. She assumes that the fracture plane orientation is the one on which the variance of the equivalent stress is maximum. Three types of equivalent stress are defined for this method [1]: normal stress, shear stress and combined normal and shear stress. The results obtained were compared with experimental results for multiaxial cyclic stress states, and it emerges that the variance method for the case of combined loading is conservative as it gives a better prediction of the fracture plane.