A new super-element for estimating the collision resistance of an inclined ship side

A simplified analytical method for estimating the crushing resistance of an inclined ship side

“…In order to validate the analytical developments presented here above and detailed in Appendix 1, some numerical simulations were performed by using the finite elements software LS-DYNA. This has already been done in a previous communication of Buldgen et al [11], where some results are given for a plate and a ship with other dimensions than those considered here. The comparisons performed hereafter are in fact an additional validation, as the geometrical properties characterizing the ship and the plate (see Table 2) varies from those given in Ref.…”

“…The comparisons performed hereafter are in fact an additional validation, as the geometrical properties characterizing the ship and the plate (see Table 2) varies from those given in Ref. [11]. It has to be mentioned here that the goal of the present section is only to validate the theoretical developments leading to the resistance F. Therefore, the plate dimensions given in Table 2 may not be consistent with the current practice in naval architecture.…”

“…where _ E x;i and _ E y;i are the internal energy rates calculated for the six sub-areas dividing the plate according to Table 3. The procedure for deriving F is then strictly similar in the case of an impact by the stem or by the bulb, the only difference being the displacements field w(x, y) to used to calculate the deformation rates (11). The expressions of the internal energy rate for an impact by the bulb are presented in Appendix 2.…”

“…This was motivated by the fact that other comparisons for this collision scenario have already been published in Ref. [11]. However, as an impact involving the bulb has not been treated in an earlier publication, we decided to give more details in Section 3.3.…”

“…In a recent communication [11], Buldgen et al investigated the collision of a rigid bow impacting a ship having an inclined side shell. In this study, the struck vessel is modeled only by one of its section bounded by two transverse bulkheads (Fig.…”