A 2nd−order SCF solution for modeling distortion effects on fatigue of lightweight structures

Stress magnification factor for angular misalignment between plates with welding-induced curvature

“…Although the formulations are applied for the same global and local angular misalignment, the k m factor by [5] and the present solution show a difference, which is also due to the respective solution methods. In fact, the modelling by dummy loads utilised by Zhou et al [5] leads to a solution composed by few additional terms with respect to the present solution. Nevertheless, the percentage difference is under 5% in compression and gradually increases under tension, but staying below 7%, for Fig.…”

“…The theory was validated with geometrical nonlinear finite element analyses and showed to have excellent agreement with them. The comparison with other analytical formulations, recently published by Zhou et al [5] and Shen et al [14], is now presented. The main difference between the present work and these two is in the modelling of the curvature shape and in the solutions methods.…”

“…global and local angles) are coupled. Zhou et al [5] modelled the curvature effect by using notional (i.e. dummy) loads on an ideal, straight beam, and describing the curvature with the slopes at the beam ends.…”

“…Prompted by energy efficiency and fuel economy reasons, the structural lightweight design for large-size structures has been in the spotlight of the recent research in several industrial fields. For instance, modern cruise ships have been designed to accommodate an increased number of cabins and open spaces, thus directing shipbuilding towards new solutions in terms of space and weight in order to increase the performance of the structure [1][2][3][4][5]. Thinwalled structures represent an optimum solution to achieve this design target.…”

“…Relying on the Toshio formula ( [15]) and modelling the initial curvature with a quadratic function, the proposed model has been validated against finite element analysis for fixed and simply supported BCs (see also [16]). A different approach has been proposed by Zhou et al [5], who studied the butt weld-induced distortions of thin plates. The nonlinear imperfect beam problem is converted into a nonlinear perfect beam one.…”