A GENERAL CRITERION FOR HIGH CYCLE MULTIAXIAL FATIGUE FAILURE

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Abstract
Abstract— A new simple general criterion of failure for high cycle multiaxial fatigue, τa/tA.B+σn. max/2σT= 1 presented. The failure criterion is based on a critical plane approach where fatigue strength is a function of the shear stress amplitude and the maximum normal stress on the critical plane of maximum shear stress amplitude. The criterion takes account of whether case A cracks, growing along the surface, or case B cracks, growing into the surface, occur. It requires knowledge of the material properties, tensile strength, σT, and reversed shear fatigue strength for case A, tA, or case B, tB, cracking, whichever is relevant. tA is the reversed torsion fatigue strength and tB is found from a case B cracking test case. The criterion is applicable in the region, 0.5t≤ta≤t, and 0 ≤σn.max≤σT.

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