Using enclosing ellipsoids in multiaxial fatigue strength criteria |
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| Institution: | 1. Mechanical Engineering Department, COPPE, EE, UFRJ – Federal University of Rio de Janeiro, C.P. 68503, CEP 21945-970, Rio de Janeiro, RJ, Brazil;2. Mechanical Engineering Department, UNB – Federal University of Brasilia, CEP 70910-900, Brasilia, DF, Brazil;1. Institute of General Mechanics, RWTH Aachen University, Germany;2. Institute of Materials Research, Helmholtz Research Center Geesthacht, Germany;3. School of Aerospace Engineering, Tsinghua University, Beijing, China |
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| Abstract: | We propose in this paper a scalar measure for the amplitude of shear stress variations based on the definition of an enclosing hyper-ellipsoid of minimum Frobenius norm. This equivalent shear amplitude is combined with the maximal mean stress, in both linear and quadratic functions, leading to two alternative fatigue criteria. The predictions of these criteria are compared with experimental data in order to validate the proposed shear amplitude measure. The crucial issue concerning the feasibility of the computation of the minimum norm ellipsoid is discussed and a practical algorithm is proposed and demonstrated. |
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