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Chapter 13 Collapse Analysis of Ship Hulls                            267

                 13.4.4  Corrosion Rate Model
                 Corrosion rates depend on many factors including coating properties, cargo composition, inert
                 gas properties, temperature of cargo, and maintenance systems and practices. For this reason,
                 the corrosion rate model should be appropriately based on the statistics of measurement data.
                 Practically, the time-variant corrosion rate model may be divided into three phases. In the first
                 one, there is no corrosion because of the protection of coatings, and  corrosion rate is zero. The
                 second phase is  initiated when  the  corrosion protection is damaged and  corrosion occurs,
                which reduces the plate thickness. The third phase corresponds to a constant corrosion rate.
                 The present authors suggested a model as
                                   I-Ti
                                  -__
                     r(t)=rs(l-e      )                                             (13.48)
                where zi is the coating lifetime, z,  is the transition time and  rs is the steady corrosion rate.
                Figure 13.8 shows the corrosion rate model.















                                           T,                 t

                            Figure 13.8  Model of Corrosion Rate














                                            Tf
                            Figure 13.9  Loss of Plating Thickness from Corrosion as Time Function.
                By integrating Eq.(13.36), the corrosion depth can be obtained by:

                                              t-ri
                                              -_
                     d(t)=rs[t-(zi +z,)+z,e  J                                      (13.49)
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