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306    CHAPTER 12 A nonlocal damage-mechanics-based approach




                                     1000
                                                                      s8
                                                 Exp.
                                                 Analysis
                                      800
                                                              s7
                                    J-integral (N/mm)  600  s4  s5
                                                          s6



                                      400

                                          s2  s3
                                      200
                                           s1
                                        0
                                          0         1         2         3         4
                                                       Crack growth (mm)
                         FIGURE 12.22
                         J-resistance behavior of the SEB specimen with initial crack at the ferrite-buttering interface
                         (experiment vs. analysis). s1-s8 are the points (star symbols) at which snapshots were
                         taken at different instances of loading.


                         parameters of individual materials could be successfully used in the weld joint frac-
                         ture mechanics specimens and hence these are transferable. This method can be used
                         to design a dissimilar weld joint where the parameters like width of buttering and
                         weld layer, material properties of electrodes, etc., can be optimized to obtain a weld
                         with desired mechanical strength and fracture properties (Table 12.7).




                         7 CONCLUSION
                         Though local damage models for ductile crack growth simulation have been very
                         successful in predicting the load-deformation and fracture resistance behavior of dif-
                         ferent types of specimens and components, it is not able to simulate the conditions of
                         large stress gradients at the crack-tip. This is due to the mesh-dependence nature
                         of the solutions. In addition, the size effect cannot be predicted (by scaling the mesh
                         of the reference specimen) unless one changes the mesh design in the analysis. Sym-
                         metric boundary conditions are widely used in FE analysis to save computational
                         effort. In certain situations, the symmetric boundary conditions cannot be used
                         due to presence of several types of nonsymmetries in loading, material and boundary
                         conditions. In these situations, the results of the nonlocal model are more realistic
                         when compared to those of local models. Due to the above observation, one must
                         be careful about the use of local damage models for prediction of crack path when
                         the geometry, crack configurations, and loading conditions are complex. The local
                         formulation of the Rousselier model is able to predict the failure behavior of most
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