Page 282 - Marine Structural Design
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258                                                     Part II Ultimate Strength

                  where, SCr and   are a critical CTOD and an equivalent crack length, respectively. E,  Q,, , and
                  .cy  are Young's modulus, yield stress, and yield strain, respectively. It is noted that the applied
                  strain max  is evaluated by disregarding the effects of the crack.
                  To achieve a more accurate CTOD prediction, we may used the level-3 CTOD method:


                                                                                     (1 3.25)


                  where  oma and  E,,  are  the  maximum  stress  and  strain  respectively, and  or denotes the
                  residual welding stress.
                  Failure is  assumed to  take place  and  the  cracked member is removed  from  the  structural
                  system when the specified equivalent strain satisfies the selected fracture mechanics criterion.
                  The element forces are applied as unbalanced forces to the system. This fi-acture mechanics
                  criteria are used for all of the elements presented in this paper.
                  After collision, the area where tension-tearing rupture has taken place is considered as the
                  "hole".  This data is important for the simulation of  oil spills resulting from collisions and
                  groundings.



















                             Figure 13.4  Element Type

                              force orA
                               moment







                                   0
                                     0                     displacement or

                             Figure 13.5  Force-displacement Curve for a Non-linear Spring
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