Advanced Methods of Fatigue Assessment by Dieter Radaj, Michael Vormwald

By Dieter Radaj, Michael Vormwald

In 5 chapters, this quantity offers contemporary advancements in fatigue overview. within the first bankruptcy, a generalized Neuber proposal of fictitious notch rounding is gifted the place the microstructural help elements rely on the notch establishing attitude in addition to the loading mode. the second one bankruptcy specifies the notch rigidity issue together with the stress power density and J-integral notion 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, pressure, and pressure ranges.

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Referring to the schematic diagram in Fig. 7, the factor j should be applied to the base point value of s. This value may be determined based on Eq. 22). On the other hand, the strictly circular notch shape in the FE analysis is only approximated within the analytic stress field solution. Therefore, applying the jump factor j on the plateau values of s is also a tenable approximation. The procedure is confirmed by the fact that the resulting deviations between the two stress concentration factors above, K t and Kt(qf)/j, remain sufficiently small.

11 have been obtained for 2a = 135° and q = 1 mm. 3 mm). 7 Solution for Tensile Loaded V-Notches with Root Hole A further solution for the fictitious notch rounding problem referring to tensile loading has recently been published for V-notches with root hole (Berto and Zappalorto 2011, 2012). The basic procedure is illustrated by Fig. 12, where the real notch with stress r averaged over qà is contrasted with the fictitiously rounded notch with the maximum stress rmax ¼ r: For determining the support factor s, Eq.

E. the maximum tangential stress r0max at the boundary of the hole and the maximum shear stress smax in the bisector plane (the ligament in the crack problem), had the following result, Fig. 25: 44 1 Generalised Neuber Concept of Fictitious Notch Rounding Fig. 26 Stress concentration dependent on notch curvature of elliptical hole in in-plane shear and shear-bending loaded infinite plate; sharp notch approximation (a/q ) 1) for comparison; (Radaj and Zhang 1993(2)) smax sn rffiffiffi rffiffiffi r0max a q þ ¼2þ q a sn qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi pffiffiffiffiffiffiffiffi 2 ða=3q þ 2=3Þ3 À 2 a=q ¼ pffiffiffiffiffiffiffiffi 2 a=q À 1 ð1:54Þ ð1:55Þ Whereas the expressions for the stress concentration are the same in the solution above for pure shear loading, Fig.

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