A critical assessment of methods for the determination of the shear stress amplitude in multiaxial fatigue criteria belonging to critical plane class |
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| Affiliation: | 1. State Key Laboratory of Mechanical Transmission, Chongqing University, 174 Shazheng Street, Chongqing 400030, China;2. School of Mechanical Engineering, Chongqing University, 174 Shazheng Street, Chongqing 400030, China;3. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;1. Laboratoire de Mécanique des Solides, CNRS, UMR 7649, Institut Polytechnique de Paris, Ecole Polytechnique, 91120 Palaiseau, France;2. SNCF Innovation and Research, 1-3 avenue François Mitterrand, 93210 la plaine Saint Denis, France |
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| Abstract: | Multiaxial high cycle fatigue criteria based on the critical plane approach necessitate unambiguous definitions of the amplitude and mean value of the shear stress (τa and τm) acting on the material planes. Four of the existing definitions relate the values of τa and τm to a geometrical element of the curve described by the tip of the shear stress vector (curve Ψ), respectively, the radius of the Minimum Circumscribed Circle, the Longest Chord, the Longest Projection, the diagonal of the Maximum Rectangular Hull (MRH).In this paper a critical assessment of the above definitions is proposed, focusing on that based on the concept of MRH, which is the most recently developed. The main issues of the comparison are the uniqueness of the solution in the determination of τa and τm, the ability to differentiate proportional and non-proportional stresses, the differences of the values of τa obtained by each of the 4 methods for differently shaped curves Ψ. |
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| Keywords: | Multiaxial fatigue Shear stress amplitude Critical plane Circumscribed circle Rectangular hull |
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