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A theory of failure based on probability for fatigue of ductile materials

✍ Scribed by Finn Ørbeck

Publisher
Springer Netherlands
Year
1969
Tongue
English
Weight
916 KB
Volume
5
Category
Article
ISSN
1573-2673

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✦ Synopsis

The maximum shear stress theory of failure is extended to consider the crystallographic orientation in a polycrystalline material. At a given point, the angular regions, within which the shear stress is higher than the critical shear stress of the crystal, are calculated and the probability of stip for this crystal is obtained. Since there is little plastic flow associated with fatigue, the stresses can be obtained from theory of elasticity. The probability of failure of components are then calculated from the probability of slip of the individual crystals. Using fatigue results for notched specimens, it is concluded that a propagating crack will only form if a number of neighboring crystals are all orientated to slip. F. Orbeck t = Depth of notch D = d+2t o-m = Maximum axial stress (occurring in bottom of notch) Gy m = (2to + Crm)/2 Kt = Theoretical stress concentration factor (elastic theory) Ke = Effective stress concentration factor (Moore and Jordan [19])

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