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Considering the effects due to mean stress and due to variable stress on the fatigue failure of ductile materials separately, the shear strain energy law (v. Mises-Hencky's law) has been applied to the fatigue test results for bending and twisting. The conclusion is obtained that, if the range of variable shear strain energy has a smaller value than a certain constant value, and if the maximum shear strain energy during one cycle of stresses does not exceed the shear strain energy corresponding to the statical yield point, a ductile material can sustain an infinite number of cycles of combined stresses, with neither fatigue failure nor statical yielding. In the light of this conclusion, a method, which gives the allowable stress for ductile materials under combined alternating stresses, has been derived.

Fatigue Resistance and Allowable Stress of Ductile Materials under Combined Alternating Stresses