Local Plastic Instabilities of Perforated Thin-Walled Bars – FEM Modelling and DIC Verification
Andrzej Piotrowski, Marcin Gajewski, Cezary Ajdukiewiczdownload PDF
Abstract. In this paper results of testing and modelling of perforated thin-walled bars of low slenderness are shown. Tested and modelled elements in general are used as structural elements for storage systems. In such case the compression mode is dominant, so the proper understanding of the element behaviour in post-critical stage is essential for system safety estimation. To predict post critical behaviour the suitable constitutive models of elasto-plasticity are needed. The most essential to such simulations is the fact that local deformations and rotation angles are significant, so the large deformation modelling regarding to geometry and constitutive models have to be used. In the paper for FEM (finite element method) modelling the ABAQUS system is used, and obtained solutions are verified experimentally using Instron 8802 universal testing machine. Aside from measuring critical forces and final deformations for several samples and eight different bar’s lengths, also strain and displacement fields were verified with application of DIC (digital image correlation) system ARAMIS. Because of the testing machine and DIC system limitations only very low slenderness (1÷11) samples were taken into account. Bars of such a low slenderness should be treated as shells or three dimensional objects in numerical modelling.
Finite Element Method Modelling, Digital Image Correlation, Buckling, Critical Forces, Post-Critical Modes, Thin-Walled Bars, Perforated Bars
Published online 5/25/2019, 6 pages
Copyright © 2019 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Andrzej Piotrowski, Marcin Gajewski, Cezary Ajdukiewicz, Local Plastic Instabilities of Perforated Thin-Walled Bars – FEM Modelling and DIC Verification, Materials Research Proceedings, Vol. 12, pp 71-76, 2019
The article was published as article 10 of the book Experimental Mechanics of Solids
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
 C. Bernuzzi, F. Maxenti, European alternatives to design perforated thin-walled cold-formed beam–columns for steel storage systems, J CONSTR STEEL RES, 110 (2015) 121–136. https://doi.org/10.1016/j.jcsr.2015.02.021
 M. Kotelko, Load capacity and mechanisms of destruction of thin-walled structures, Wydawnictwo Naukowo-Techniczne, Warsaw, 2011 (in Polish).
 J. Mutermilch, A. Kociolek, Strength and stability of thin-walled bars with open cross-section. Warsaw University of Technology Publishing House, Warsaw, 1964 (in Polish).
 M. Nedelcu, Buckling mode identification of perforated thin-walled members by using GBT and shell FEA, Thin-Walled Structures 82 (2014) 67–81. https://doi.org/10.1016/j.tws.2014.04.005
 J.B. Obrebski, Thin-walled elastic bars, Warsaw University of Technology Publishing House, Warsaw, 1991 (in Polish).
 S. Piechnik, Thin-walled bars with open cross-section, Cracow University of Technology Publishing House, Cracow, 2000 (in Polish).
 ABAQUS User’s manual, ver. 6.11. Dassault Systèmes, SIMULIA (2011)
188.8.131.52:2080/v6.11/ (access on 08-03-2019).
 G. Rakowski, Z. Kacprzyk, Finite element method in structural mechanics, Warsaw University of Technology Publishing House, Warsaw, 2016 (in Polish).
 O.C. Zienkiewicz, R.L. Taylor, The finite element method for solid and structural mechanics, Sixth edition, Elsevier Butterworth Heinemann, 2005.
 O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, The finite element method – Its basis & fundamentals, Sixth edition, Elsevier Butterworth Heinemann, 2005.
 L. Kowalewski, A. Piotrowski, M. Gajewski, S. Jemiolo, FEM application for determination of post-critical deformation modes of perforated thin-walled bars, in: Monograph from Scientific Seminar Organized by Polish Chapters of International Association for Shell and Spatial Structures, University of Warmia and Mazury, Faculty of Geodesy, Geospatial and Civil Engineering, XXII LSCE – 2016, Olsztyn, 2016, pp. 27-30.
 L. Kowalewski, A. Piotrowski, M. Gajewski, S. Jemiolo, Determination of critical forces with corresponding deformation modes for perforated thin-walled bars, in: Monograph from Scientific Seminar Organized by Polish Chapters of International Association for Shell and Spatial Structures, University Science and Technology, Faculty of Civil Engineering, Architecture and Environmental Engineering, XXIII LSCE – 2017, Bydgoszcz, 2017, pp. 14-17.
 A. Piotrowski, M. Gajewski, C. Ajdukiewicz, L. Kowalewski, S. Jemiolo, Experimental and numerical determination of critical forces for perforated thin walled bars, in: Monograph from Scientific Conference of IASS Polish Chapters, Lodz University of Technology, XXIV LSCE – 2018, Lodz, 2018, pp. 109-114.
 A. Piotrowski, L. Kowalewski, R. Szczerba, M. Gajewski, S. Jemiolo, Buckling resistance assessment of thin-walled open section element under pure compression, MATEC Web of Conferences, Vol. 86, Article Number: 01021, 2016. https://doi.org/10.1051/matecconf/20168601021
 A. Piotrowski, M. Gajewski, C. Ajdukiewicz, Application of digital image correlation system for analysis of local plastic instabilities of perforated thin-walled bars, MATEC Web of Conferences, Vol. 196, Article Number: 01032, 2018. https://doi.org/10.1051/matecconf/201819601032
 S. Jemiolo, M. Gajewski: Hyperelasto-plasticity. Warsaw University of Technology Publishing House, Warsaw 2017 (in Polish).
 Aramis v6.1 User Manual, GOM Gmbh (2008)
materials-science.phys.rug.nl/index.php/home/downloads/category/1-manuals?download=27%3Aaramis-v61.J (access on 08-03-2019).
 P. Paczos, J. Kasprzak, Influence of actual imperfections on the strength and stability of cold-formed thin-walled C-beam, 28th Symposium of Experimental Mechanics of Solids, Jachranka, 2018.