By Dieter Radaj, Michael Vormwald

In 5 chapters, this quantity provides contemporary advancements in fatigue overview. within the first bankruptcy, a generalized Neuber notion of fictitious notch rounding is gifted the place the microstructural help components depend upon the notch establishing perspective in addition to the loading mode. the second one bankruptcy specifies the notch pressure issue together with the tension strength density and J-integral inspiration whereas the SED strategy is utilized to universal fillet welded joints and to thin-sheet lap welded joints within the 3rd bankruptcy. The forth bankruptcy analyses elastic-plastic deformations within the close to crack tip area and discusses driver parameters. The final bankruptcy discusses thermomechanical fatigue, tension, and pressure levels.

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The relationships with smax have a physical meaning insofar as the maximum shear stress leads to the shear stress singularity for q = 0 referring to the ligament. A similar behaviour related to the normal stress singularity can be attributed to r0max if one considers the section normal to r0max : The convergence behaviour producing the limit values according to Eqs. 94), elliptical and keyhole notch supplemented by the U-shaped notch, is now considered in more detail. 5) with a central crack or slit (length 2a, a = l) in comparison to an elliptical hole (length 2a, width 2b, notch radius q = b2/a), an U-shaped hole (length 2a, gap width 2b = 2q) and a keyhole (length 2a, gap width zero), Fig.

6 Parabolic and Hyperbolic Notch Subjected to In-Plane Shear Loading The derivations above for the elliptical notch can also be performed for parabolic and hyperbolic notches based on the closed-form expressions for the stress concentration factors (Neuber 1958 or 1985). These notches are external notches as opposed to the elliptical notch, which is treated as an internal notch (in the infinite plate). Therefore, the nominal stress is now defined relating the shear force F to the net section width 2b: sn ¼ F 2b ð1:74Þ All parameters are referenced directly or indirectly to the parameter b instead of a.

43), the limit value of s for q ! 0 when considering a keyhole. This means that the limit value is dependent on the notch shape. Summarising the numerical results, the following trends have been found for the support factor in the case of out-of-plane shear loading: • the factor s depends on the real radius q, starting with lower values for q = 0, but converging to a plateau value for q [ qÃ ; 34 1 Generalised Neuber Concept of Fictitious Notch Rounding Fig. 18 Geometry and dimensions of the V-notch specimen considered in the FE analyses, torsional loaded round bar with circumferential V-notch, q = 0 compared with q = qf; the nominal stresses sÃng relating to the gross cross-sectional area; (Berto et al.