Page 268 - Marine Structural Design
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244                                                     Par! II Ultimate Strength








                                      f=O
                              Figure A.6   Flow Rule





                                      01        Load
                                                    surface
                                                Load surface
                                      IO'  0
                                                  2

                              w

                               /

                              Inihal yield surface
                                         Kinematic
                                                  Hardening
                              Figure  A.7   Kinematic Hardening Rule
                              Figure A.7
                                               A






                                                     &






                              Figure A.8   Uni-Axial Stress and Strain Relation Based on Kinematic
                                         Hardening Rule.



                  Kinematic Hardening Rule
                   In the kinematic hardening rule, although the size of yield surface does not change due to the
                  hardening process, the position of its center moves as shown in Figure A.7. The relationship
                  between stress and strain for a uniaxial stress case is shown in Figure A.8.  From the relation
                     -
                          -- -
                   of YY' = AC, BC <OY , the Bauschinger's effect may be qualitatively expressed in the figure.
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