Numerical study of the elasto-plastic buckling in perforated thin steel plates using the constructal design method

Numerical buckling analysis of thin steel plates with centered hexagonal perforation through constructal design method

“…Concretely, when compared to a solid plate (i.e., without perforation), a significant reduction in the elastoplastic ultimate strength has always been found in perforated plates notwithstanding the occasionally occurring increase in elastic buckling critical load, as reported in previous articles [6]. Other characteristics such as geometry, dimension, size, and location of the cutout as well as the nature of the applied load provide direct influence on the plate mechanical behavior subjected to an axial compression load [5,7].…”

“…Another important practical aspect for thin steel plates is the need to make cutouts on these structural components, with different geometries and dimensions. Perforations may be used for allowing access (windows or hatches), for power cables and pipes passage, for reduction in the self-weight of the structure, and even for aesthetic purposes [5]. The presence of a hole in a plate results in a redistribution of the membrane stress accompanied by a change in its mechanical behavior.…”

“…Also, it was possible to define the hole shape that conducts to the superior buckling performance in each case. Finally, in [5] only the nonlinear post-buckling plate behavior was taken into account for the same cases analyzed in Ref. [21].…”

Computational Modeling and Constructal Design Theory Applied to the Geometric Optimization of Thin Steel Plates with Stiffeners Subjected to Uniform Transverse Load

“…Nowadays, there are few publications on this topic, but it is possible to cite Bejan and Lorente [33], Bejan et al [54], Lorente et al [55], and Isoldi et al [56] where, by means of analogies among heat transfer, fluid mechanics, and mechanics of materials, it was conceptually proven that the CDM is also applicable in structural engineering problems. There are also works dedicated to investigating the influence of geometric configurations of plates submitted to elastic or elasto-plastic buckling: Isoldi et al [57], Rocha et al [58], Helbig et al [59], Lorenzini et al [60], Helbig et al [61], Helbig et al [62], Da Silva et al [63], and Lima et al [64,65]; while in Cunha et al [66], De Queiroz et al [13], Amaral et al [67], and Pinto et al [68] the influence of geometry of stiffened plates was analyzed when submitted to bending. Finally, Mardanpour et al [69] and Izadpanahi et al [70] applied the CDM in a study about aircraft structures.…”

Constructal design associated with genetic algorithm to minimize the maximum deflection of thin stiffened steel plates

“…To theoretically prove the CD applicability for structural engineering problems, analogies among heat transfer, fluid mechanics, and mechanics of materials were presented in the studies of Bejan and Lorente, 24 Bejan et al, 25 Lorente et al, 26 and Isoldi et al 27 Other approaches that can be considered as related with problems concerned with mechanics of materials are the ones dedicated to the application of CD for optimization of iron and steel manufacturing process. [28][29][30][31] In addition, one can find studies employing CD exclusively to structural engineering problems for the geometric evaluation of perforated steel plates subjected to buckling [32][33][34][35][36][37][38] ; stiffened steel plates subjected to buckling 14,39 ; stiffened steel plates subjected to bending [40][41][42][43]54 ; and aircraft structures. 44,45 Therefore, the present study, by employing an approach that associates the CD method and GA, with the aid of FEM, seeks to find the optimized geometrical configuration that conducts the superior mechanical behavior of simply supported stiffened plates under transverse distributed loading, having the minimization of its maximum out-of-plane displacement as objective function.…”