Numerical study of the effects of constitutive models on plastic buckling of plate elements |
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| Authors: | Lars Rønning Odd Sture Hopperstad Per Kristian Larsen |
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| Affiliation: | 1. Material Mechanics, RWTH Aachen University, 52062 Aachen, Germany;2. Institute of Continuum Mechanics and Material Mechanics, Hamburg University of Technology, 21073 Hamburg, Germany;3. Institute of Mechanics, TU Dortmund, 44221 Dortmund, Germany;4. Microstructure Physics and Alloy Design, Max-Planck Institute for Steel Research, D-40237 Düsseldorf, Germany;1. State Key Laboratory of Solidification Processing, School of Materials Science, Northwestern Polytechnical University, P.O. Box 542, Xi’an 710072, China;2. Xi’an Aerospace Propulsion Institute, Xi’an 710100, China;1. Department of Mechanical Engineering, McMaster University, Hamilton, ON, Canada;2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China;3. GM R&D Center, Warren, MI, USA |
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| Abstract: | Compared with experiments, the J2 deformation theory of plasticity is known to predict plastic buckling with better accuracy than the more accepted incremental J2 flow theory. This paradox is commonly known as the ‘plastic buckling paradox’. In an attempt to analyse this discrepancy, the two mentioned constitutive models were implemented in a non-linear finite element code, along with a third non-associative J2 flow theory. The latter model incorporates a vertex-type plastic flow rule. Using these three constitutive models, the buckling behaviour of plate outstand elements was investigated. Comparisons between the buckling strengths derived are presented. The non-linear static buckling simulations show that the instability introduced by the alternative flow rule of the non-associative model has substantial influence on the buckling behaviour. The acceptance of only small departures from normality was shown to reduce the predicted ultimate capacity of the plates. Furthermore, for plates with small plate slendernesses it was found that the imperfection sensitivity was significantly reduced when using the non-associative flow rule. |
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