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Research Article

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

Daniel Helbig1, Marcelo Langhinrichs Cunha2, Caio Cesar Cardoso da Silva2, Elizaldo Domingues dos Santos2, Ignácio Iturrioz1, Mauro de Vasconcellos Real2, Liércio André Isoldi*,2, Luiz Alberto Oliveira Rocha1,3

1Graduate Program in Mechanical Engineering, Federal University of Rio Grande do Sul - UFRGS, Brazil

2Graduate Program in Ocean Engineering, Federal University of Rio Grande - FURG, Brazil

3Graduate Program in Mechanical Engineering, University of Vale do Rio dos Sinos - UNISINOS, Brazil

Keywords

Abstract



Post-buckling,

 

Perforated steel plate,

 

Computational modeling,

 

Constructal Design method

There are several areas of engineering that use thin plates as structural elements, among them, we can highlight their application in the construction of offshore structures, bridges, ship hulls, and aircraft fuselage. In some design situations, the plates may be subjected to compression stresses and, consequently, they may be under the effect of elastic and/or elasto-plastic buckling. The analysis of the buckling phenomenon presents significant differences between one-dimensional elements, such as beams and columns, and two-dimensional elements, such as plates. The buckling phenomenon is directly related to dimensional, constructive and/or operational aspects. In this sense, the presence of perforations in plates causes a redistribution of their stresses, affecting not only their resistance but also their buckling characteristics. In order to solve the problem of elasto-plastic buckling in thin steel plates with perforations, we used computational models developed in Ansys(R) software, which is based on the Finite Element Method (FEM). For the analysis, it was considered perforated plates with constant thickness h for the relationships H/L = 1.0 and H/L = 0.5, where H is the plate width and L is the plate length. For the volume fraction Ф, i.e., the ratio between the volume of the perforation and the volume of the plate, the following values were considered: 0.08; 0.10; 0.15; 0.20 and 0.25. In addition, the plates were considered to have centralized perforations with the following geometric forms: longitudinal oblong, transverse oblong, elliptic, rectangular, diamond, longitudinal hexagonal, and transverse hexagonal. The shape variation of each perforation type occurs through the ratio H0/L0, being H0 and L0 the characteristics dimensions of perforation. The Constructal Design method was employed to define the range of possible geometries for the perforated plates, allowing an adequately comparison about the von Mises stress distribution among the studied cases. The results show that the geometric shape variation, for all analyzed perforation types, leads to an optimum geometry. © 2018 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2017.37ds1123                          Full Text

LATEST News


27/12/2022 Reviewer Awards: The winners of 2022 reviewer awards of Research on Engineering Structures and Materials (RESM) are announced. More information can be found at Reviewer Awards section. 


23/12/2022 Best Paper Award: According to the Advisory Board decision, the paper authored by Nitin Kumar, Michele Barbato, Erika L. Rengifo-López and Fabio Matta entitled as “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry” is awarded the 2022 Best Paper Award of Research on Engineering Structures and Materials (RESM). 

23/12/2022 Most Cited Paper Award:  According to the Editorial Board evaluation, the paper authored by Aykut Elmas, Güliz Akyüz, Ayhan Bergal, Müberra Andaç and Ömer Andaç entitled as “Mathematical modelling of drug release" is awarded the 2022 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). 


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LATEST AWARDS


2022 Reviewer Awards:

Please, visit Reviewer Awards section for the winners of the 2022 RESM reviewer awards.


2022 Best Paper Award:

The paper authored by Nitin Kumar, Michele Barbato, Erika L. Rengifo-López and Fabio Matta entitled as “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry” is awarded the 


2022 Most Cited Paper Award:

The paper authored by Aykut Elmas, Güliz Akyüz, Ayhan Bergal, Müberra Andaç and Ömer Andaç entitled as “Mathematical modelling of drug release" is awarded the


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Last Update:

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