A new simple general criterion of failure for high cycle multiaxial fatigue, τ a / t A.B +σ n. max /2σ T = 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, σ T , and reversed shear fatigue strength for case A, t A , or case B, t B , cracking, whichever is relevant. t A is the reversed torsion fatigue strength and t B is found from a case B cracking test case. The criterion is applicable in the region, 0.5 t ≤ t a ≤ t , and 0 ≤σ n. max ≤σ T .
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D. L. McDiarmid (1991) studied this question.
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