Issue 41

M. A. Meggiolaro et alii, Frattura ed Integrità Strutturale, 41 (2017) 1-7; DOI: 10.3221/IGF-ESIS.41.01 6 E XPERIMENTAL V ERIFICATION o verify the efficiency of the optimized MRF, tension-torsion experiments are performed on annealed tubular 316L stainless steel specimens in an MTS 809.25 multiaxial testing machine, shown in Fig. 4(a). A relatively thin wall of 2 mm is used for the tubular specimens, to avoid having to deal with stress gradient effects across its thickness. Engineering stresses and strains are calculated from load/torque cell measurements and from an MTS 632.68 axial/torsional extensometer, and then converted to true stresses and strains [13]. The cyclic properties of this 316L steel are obtained from uniaxial tests, resulting in fitted Ramberg-Osgood uniaxial cyclic hardening coefficient 874MPa and exponent 0.123, with Young’s modulus 193GPa, Poisson ratio 0.3, and shear modulus 74GPa . (a) (b) Figure 4 : (a) Tension-torsion testing machine and extensometer mounted on a tubular specimen; (b) applied  x ×  xy /  3 strain paths. The tests consist of strain-controlled  x ×  xy /  3 tension-torsion cycles applied to the tubular specimens, following the very challenging cyclic path sequence OABHAOCBDCOEDFEOGHFGO, see Fig. 4(b). Fig. 5 shows the resulting experimentally measured stabilized σ×τ  3 stress path (samples with  markers ) , as well as the optimized MRF output including the proposed pre-processing step (square markers) for a filter amplitude r = 15MPa. The measured σ×τ  3 stress paths are reduced from 1227 data points per cycle to only 52, showing a very good agreement in both ranges and shape. Notice that, despite being highly filtered, the optimized MRF outputs can almost exactly describe the original multiaxial load history, capturing not only all reversal points but also the load path shape, which is a most important feature for path-equivalent range calculations used in fatigue damage assessments. C ONCLUSIONS I n this work, an optimized version of the multiaxial racetrack filter (MRF) was proposed, applicable to general non- proportional multiaxial histories. The MRF preserves load order, allowing the synchronous filtering of stress and strain histories, without filtering out important multiaxial load reversal points. The optimized version is based on a pre- processing step that selects candidates for the reversal points, in a robust partitioning process. The filter efficiency was validated from tension-torsion experiments following complex non-proportional histories, without losing information on significant reversals, ranges or load path shapes. x  xy / 3  a  a  a  a  B A H F O C D E G T