W. Bedkowski et E. Macha, FATIGUE FRACTURE PLANE UNDER MULTIAXIAL RANDOM LOADINGS - PREDICTION BY VARIANCE OF EQUIVALENT STRESS BASED ON THE MAXIMUM SHEAR AND NORMALSTRESSES, Materialwissenschaft und Werkstofftechnik, 23(3), 1992, pp. 82-94
It is assumed that the plane in which the maximum variance of the equi
valent stress appears is critical for a material and the fatigue fract
ure should be expected in this plane. The equivalent stress is calcula
ted according to the fatigue criterion of maximum shear and normal str
esses in the fracture plane. It was demonstrated that for each station
ary random stress state there is one or more critical planes where the
fatigue fracture plane can be expected. The variance method together
with the discussed fatigue criterion give good results for three analy
sed types of carbon steels under multiaxial cyclic loadings.