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288    CHAPTER 12 A nonlocal damage-mechanics-based approach




                                                                                         B
                                                                         F
                                                                                         B n
                                                                               W
                                            F
                                                                  V LL
                                                               W
                                      a
                                                                            a 0
                                        L = 4W


                          (a)                                     (b)    F
                         FIGURE 12.2
                         Geometry and loading conditions for ASTM standard specimens. (a) SEB specimen;
                         (b) CT specimen.

                         from detachment of manganese sulfide (MnS) inclusions at the particle-matrix inter-
                         face. The MnS particles inside the voids have almost a spherical shape. After nucle-
                         ation of the voids from the MnS inclusions, there are no more adhesion between the
                         particles and the matrix material. Therefore, the initial void volume fraction of the
                         material can be equated to the volume fraction of MnS inclusions in the ferritic steel.
                            The austenitic material DIN 1.4550 (similar to SS304) is a piping material and has a
                         face-centered cubic lattice crystal structure as opposed to the body-centered cubic lat-
                         tice structure of the ferritic material. A metallographic cut through a deformed tensile
                         specimen also exhibits voids in the cross-section. However, the voids usually develop
                         at the niobium carbo-nitride inclusions, which normally have elongated shapes. The
                         voids initiate mainly by the fracture of the slender carbo-nitride particles. It has also
                         been observed that most particles are in already broken state as the piping material is
                         usually subjected to plastic deformation during the manufacturing of the pipes. How-
                         ever, the adhesion between the particles and the matrix is much stronger than that of the
                         ferritic material. The particles do not lie loose in the voids. Hence, the initial void vol-
                         ume fraction for the austenitic material does not correspond to the particle volume (but
                         much lower) because the newly developed voids have only the same volume of the
                         actual internally present cracks of the carbo-nitride particles.
                            Afteredgepreparationsonboththepipeends,abutteringlayer(of  4 mmthickness)
                         wasdepositedthroughanickel-richelectrodeontheferriticpipeface.Thebutteringlayer
                         is of over-alloyed nickel-enriched E309L (24% Cr and 12% Ni). After this, welding is
                         carriedoutbetweenthebutteringlayerandtheausteniticfaceofthepipe.Thethicknessof
                         the weld is 25 mm approximately. The weld is deposited with matching E308L (18% Cr
                         and 8% Ni) material. The use of nickel-enriched buttering layer is a common approach
                         forpower-plantapplicationstoreducetoughnessdegradationasaconsequenceofcarbon
                         precipitation faced with matching austenitic filler materials.
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