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Ratchet limits for a crack in a welded pipe subjected to a cyclic temperature load an a constant mechanical load

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Figure

Fig.1 Welded pipe configurations with (a) an inner surface crack, (b) a )
Fig. 5 Ratchet limit interaction curves of the welded pipe with the  different r  and the different crack locations
Fig. 8 Ratchet limit interaction curves of the welded pipe with the
Fig. 9 Ratchet limit interaction curves of the pipe with the different  thickness H  of the WM and the different r
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