Computational model verification and numerical analysis of plate buckling due to combined loading

Authors

DOI:

https://doi.org/10.5902/2179460X75137

Keywords:

Elasto-plastic buckling, Thin steel plates, Structural numerical simulation

Abstract

Thin plates are structures widely used in different industries, due to their mechanical properties. They are often subjected to combined loading, which can cause an undesired phenomenon called buckling. In this sense, the present work analyzes the elasto-plastic buckling behavior of thin steel plates that are simply supported and subjected to in-plane uniaxial or biaxial compression combined with lateral pressure. To obtain the ultimate stress of the plates, a computational model was developed using the finite element method. Initially, the computational model was verified through previous numerical results from the literature. Then, a case study was carried out considering a rectangular plate geometry with an aspect ratio of b/a = 0.5 (where a and b are the length and width of the plate, respectively), under biaxial compression and varying the lateral loading from 0 to 0.152 MPa, aiming to analyze its elasto-plastic buckling behavior. The results indicated that the computational model was adequately verified. From the case study, it was inferred that the load step plays an important role in the numerical prediction accuracy of the elasto-plastic buckling mechanical behavior of plates In addition, the application of initial imperfection for small lateral pressures has little influence on ultimate stress, while for larger lateral pressures it does not generate influence.

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Author Biographies

Guilherme Ribeiro Baumgardt, Federal University of Rio Grande

Graduate Student, MSc

Mauro de Vasconcellos Real, Federal University of Rio Grande

Professor, Doctor

Paulo Roberto de Freitas Teixeira, Federal University of Rio Grande

Professor/Doctor

Elizaldo Domingues dos Santos, Federal University of Rio Grande

Associate Professor/Doctor

Thiago da Silveira, Federal University of Pampa

Professor/Doctor

Liércio André Isoldi, Federal University of Rio Grande

Professor/Doctor

References

ANSYS. Ansys Help Viewer Release 18.1. 2017.

ANSYS. Ansys Mechanical APDL Version 15.0 - User’s Guide. 2015.

ANSYS. Theory Reference for the Mechanical APDL and Mechanical Applications. 2009.

BIRMAN, V. Plates Structures. Berlim: Springer, 2011. (Solid Mechanics and Its Applications)

EL-SAWY, K. M.; NAZMY, A. S.; MARTINI, M. I. Elasto-Plastic Buckling of Perforated Plates under Uniaxial Compression. Thin-Walled Structures, [S. l.], v. 42, n. 8, p. 1083-1101, 2004. Disponível em: https://www.sciencedirect.com/science/article/pii/S0263823104000497?via%3Dihub. Acesso em: 23 fev. 2021.

HELBIG, D. et al. Study about buckling phenomenon in perforated thin steel plates employing computational modeling and constructal design method. Latin American Journal of Solids and Structures, São Paulo, v. 13, n. 10, p. 1912-1936, 2016. Disponível em: https://www.scielo.br/j/lajss/a/FL55mFmf3d7yJsGf35jtPgb/?lang=en. Acesso em: 16 nov. 2020.

KUMAR, M.S.; ALAGUSUNDARAMOORTHY, P.; SUNDARAVADIVELU, R. Interaction curves for stiffened panel with circular opening under axial and lateral loads. Ships and Offshore Structures, Cambridge, v. 4, n. 2, p. 133–143, 2009. Disponível em: https://www.tandfonline.com/doi/abs/10.1080/17445300902746420. Acesso em: 25 mar. 2021.

LIMA, J. P. S. et al. Constructal Design for the ultimate buckling stress improvement of stiffened plates submitted to uniaxial compressive load. Engineering Structures, v. 203, 2020. Disponível em: https://www.sciencedirect.com/science/article/pii/S0141029619320292?via%3Dihub. Acesso em:16 nov. 2020.

MADENCI, E.; GUVEN, I. The Finite Element Method and Applications in Engineering Using ANSYS. 2. ed. Berlim: Springer, 2015.

PRZEMIENIECKI, J. S. Theory of Matrix Structural Analysis. Massachusetts: Courier Corporation, 1985.

SOARES, C. G.; GORDO, J. M. Compressive Strength of Rectangular Plates Under Biaxial Load and Lateral Pressure. Thin-Walled Structure, [S. l.], v. 24, n. 3, p. 231-259, 1996. Disponível em: https://www.sciencedirect.com/science/article/pii/0263823195000305.

Acesso em: 07 jul. 2021.

WANG, C. M.; WANG, C. Y.; REDDY, J. N. Exact Solutions for Buckling of Structural Members, Boca Raton, Flórida: CRC Press, 2004. (Computational Mechanics and Applied Analysis, v. 6).

YU, C. L.; FENG, J. C.; CHEN, K. Ultimate uniaxial compressive strength of stiffened panel with opening under lateral pressure. International Journal of Naval Architecture and Ocean Engineering, v. 7, n. 2, p. 399-408, 2015. Disponível em: https://www.sciencedirect.com/science/article/pii/S2092678216300887?via%3Dihub. Acesso em: 23 fev. 2021.

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Published

2023-12-01

How to Cite

Baumgardt, G. R., Real, M. de V., Teixeira, P. R. de F., Santos, E. D. dos, Silveira, T. da, & Isoldi, L. A. (2023). Computational model verification and numerical analysis of plate buckling due to combined loading. Ciência E Natura, 45(esp. 3), e75137. https://doi.org/10.5902/2179460X75137

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