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294    CHAPTER 12 A nonlocal damage-mechanics-based approach




                                     1600
                                                Experiment
                                     1400       0.1 mm mesh (nonlocal)
                                                0.2 mm mesh (nonlocal)
                                     1200       0.4 mm mesh (nonlocal)
                                   J-integral (N/mm –1 )  1000

                                      800
                                      600
                                      400

                                      200
                                       0
                                         0.0   0.5   1.0  1.5   2.0   2.5   3.0   3.5
                                                        Crack growth (mm)
                         FIGURE 12.6
                         Effect of mesh size at the crack-tip on fracture resistance (J-R curve) behavior of a 1T SEB
                         specimen (results of nonlocal damage model).

                         in Figure 12.2a. The specimen is 20% side-grooved and hence, the net thickness in the
                         uncracked remaining ligament is 20 mm. A 2D plane-strain analysis with 8-noded iso-
                         parametric quadrilateral elements has also been carried out. Due to symmetry, only
                         half of the specimen has been analyzed. The load-CMOD response of the shallow-
                         cracked and deeply cracked specimens are plotted in Figure 12.7 along with



                                    150,000




                                   Load (N)  100,000      1T SEB (deep crack): expt.
                                                          1T SEB (deep crack): simul.
                                                          1T SEB (shallow crack): expt.
                                                          1T SEB (shallow crack): simul.
                                     50,000




                                         0
                                          0      1      2      3      4      5     6
                                                           CMOD (mm)
                         FIGURE 12.7
                         Load-CMOD response of a 1T SEB deep-cracked versus shallow-cracked specimen
                         (experiment and FE simulation).
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