Issue 39

M. Muñiz Calvente et alii, Frattura ed Integrità Strutturale, 39 (2017) 160-165; DOI: 10.3221/IGF-ESIS.39.16 165 C ONCLUSIONS he main conclusions of this work are the following: - Failure for a certain multiaxial fatigue loading must not happen, necessarily, at the plane subject to the maximum value of the multiaxial fatigue criteria (MCE or MCC in this case), but it may occur at other planes subjected to lower values of the critical parameter due to its interaction with the existence of local defects. - The probabilistic model proposed in this paper enables the failure probability for any plane orientation to be found. - The applicability of this methodology is not limited to the use of these two criteria (MCE or MCC), but the iterative process can be extended to any other failure criterion regardless of the complexity of its calculation. - In this work, an analytical solution for the local calculation of the critical parameter is assumed, but as in the GLM, this is not mandatory, so that the calculation of the critical parameter distribution in other complex cases can be found using the finite element method. A CKNOWLEDGEMENTS he authors gratefully acknowledge the Severo Ochoa Pre-doctoral Grants Program of the Regional Government of Asturias (Spain) and the Spanish Ministry of Science and Innovation (MICINN) under project BIA2010-19920 for funding support. R EFERENCES [1] Castillo, E., Fernández-Canteli, A., A unified statistical methodology for modeling fatigue damage, Springer, (2009). [2] Muniz-Calvente, M., de Jesus, A.M.P., Correia, J.A.F.O., Fernández-Canteli, A., A generalized probabilistic approach for fatigue crack initiation taking into account scale effects and non-uniform damage fields, Fatigue & Fracture of Engineering Materials & Structures, (Submitted). [3] Muñiz-Calvente, M., Ramos, A., Shlyannikov, V., Lamela, M.J., Fernández-Canteli, A., Hazard maps and global probability as a way to transfer standard fracture results to reliable design of real components, Engineering Failure Analysis, 69 (2016) 135-146. [4] Bernard, A., Bos-Levenbach, E. C., The Plotting of Observations on Probability-paper. Stichting Mathematisch Centrum. Statistische Afdeling, (1955). [5] Fitting a Univariate Distribution Using Cumulative Probabilities - MATLAB & Simulink Example - MathWorks. [6] Sines, G., Behaviour of metals under complex static and alternating stresses, In: Metal Fatigue, G. Sines and J. L. Waisman, eds., McGraw-Hill, New York, (1959) 145–169. [7] Crossland, B., Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel, In: Proc. Int. Conf. on Fatigue of Metals, Institution of Mechanical Engineers, London, (1956) 138–149. [8] Papadopoulos, I. V., A review of multiaxial fatigue limit criteria, Advanced Course on High-Cycle Metal Fatigue, (1997). [9] Papadopoulos, I. V., Davoli, P., Gorla, C., Filippin, M., Bernasconi, A., A comparative study of multiaxial high-cycle fatigue criteria for metals, International Journal of Fatigue, 19(3) (1997) 219–235. [10] Li, B., Santos, J. L. T., de Freitas, M., A Unified Numerical Approach for Multiaxial Fatigue Limit Evaluation. Mechanics of Structures and Machines, 28 (1) (2000). T T