Abstract

This paper presents an attempt to modify an existing theoretical model to predict the bending collapse response of hat-section tubular structures. The analytical collapse model was based on Kim and Reid. Additional hinge lines created during deformation of the tube were examined and integrated with existing model to forming a modified analytical solution. Variation of the hinge moments were solved using limit analysis technique. Procedure for developing the finite element (FE) models of tube specimens was also presented. Moment-rotation characteristics from pure bending simulation were compared with analytical model and good agreement was achieved. The average of differences between simulation and calculation were found to be <5% within plastic region. In conclusion, the modified analytical solution has adequate capability to predict the moment-rotation relationship of hat-section tubes subject to pure bending..

Highlights

  • Thin-walled structure is a kind of typical energy absorbers used in many applications such as automotive, naval, and aerospace

  • Real crash scenario shows that almost 90% of structural members involved in an accident failed in bending collapse mode [1]

  • The modified theoretical model provides an adequate accuracy on qualitative and quantitative estimation of the moment variation. They were compared with simulation of pure bending of the tubes at different cross section

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Summary

Introduction

Thin-walled structure is a kind of typical energy absorbers used in many applications such as automotive, naval, and aerospace. The study of bending behaviour of thin-walled tubular structures was first reported by Abramowicz and Wierzbicki [2] and Kecman [3] Both approaches involved nonlinear geometrical problems in plasticity. Wierzbicki et al [4] proposed a collapse model based on the moving hinge lines within a small angle range This model was further improved by Kim and Reid [5] by introducing a new kinematically admissible folding mechanism to predict bending collapse of square and rectangular cross section tubes. It closely resembles Kecman’s model [3] with inclusion of some in-plane deformation and introduced two additional free parameters from total plastic work. Comparison results show good agreement and the modified analytical approach is validated

Bending Collapse Mechanism
Classification of Hinge Lines
Rate of Plastic Energy Dissipation
Energy Dissipation in a Sheet Passing Over a Toroidal Surface
Stationary Plastic Hinge Lines
Approximate Instantaneous Moment
Development of Finite Element Model
Validation Results of the Modified Theoretical Model
Validation Results for Hat-Section Tubes under Pure Bending
Conclusion

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