Abstract

The paper deals with the problem of buckling resistance determination in case of perforated thin-walled elements. Depending on element slenderness the limit load in compression mode may be determined taking into account elastic (LBA analysis), elasto-plastic and plastic material properties (GMNA analysis). The limit load value is determined on the basis of thin-walled open section beam theory in case of elastic buckling and using Johnson-Ostenfeld approximation for elasto-plastic buckling. Obtained results are compared with finite element solutions derived using shell modelling and large deformation theory with Huber-Mises elasto-plasticity constitutive model without any geometrical imperfections. Some results of the carried out experiments are also shown.

Highlights

  • IntroductionIn the paper the buckling resistance of the perforated thin-walled bar (without any geometrical imperfections) is under investigation

  • In the paper the buckling resistance of the perforated thin-walled bar is under investigation

  • The limit load analysis was conducted with the use of thin-walled beam theory and compared with the results from the FEM analysis

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Summary

Introduction

In the paper the buckling resistance of the perforated thin-walled bar (without any geometrical imperfections) is under investigation. Depending on the distance between shelfs the slenderness for the analysed element is changing, leading to the elastic buckling or elasto-plastic load capacity problems. The main purpose of the paper is to compare the analytical solution for the perforated bar, for which perforations are taken into account through the concept of thinening of the bar wall (assuming equivalence of the material volume), with numerical solutions. Both analysis are done for perfect members, and finaly presented against some experimental tests done on imperfect samples with limited length (limitations of the testing systems). In the case of tested samples the geometrical and boundary type imperfections were identified

Material and geometry
Determination of the compressive load capacity by the thinwalled beam theory
FEM analysis description
FEM model
Comparison of numerical and analytical results
Findings
Final remarks and conclusion
Full Text
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