Post-buckling modeling for strips under tension and residual stresses using asymptotic numerical method

作者: Sami Abdelkhalek , Hamid Zahrouni , Nicolas Legrand , Michel Potier-Ferry

DOI: 10.1016/J.IJMECSCI.2015.10.011

关键词: Shell (structure)Finite element methodStructural engineeringNumerical analysisMechanicsSTRIPSResidual stressBucklingMaterials scienceTension (physics)Flatness (systems theory)

摘要: In many industrial processes, geometric strip defects may be generated by buckling due to excessive residual stresses and these are difficult control. Usually have complex distributions so that with shapes appear. rolling, strips fabricated under tension, which has an impact on the shape amplitude of defects. This tension can hide completely or partially increase evolve during release. this work we calculate flatness stresses, without using a shell finite element model based asymptotic numerical method (ANM).

参考文章(25)
F. D. Fischer, F. G. Rammerstorfer, N. Friedl, Residual Stress-Induced Center Wave Buckling of Rolled Strip Metal Journal of Applied Mechanics. ,vol. 70, pp. 84- 90 ,(2003) , 10.1115/1.1532322
E.H. Boutyour, H. Zahrouni, M. Potier-Ferry, M. Boudi, Asymptotic-numerical method for buckling analysis of shell structures with large rotations Journal of Computational and Applied Mathematics. ,vol. 168, pp. 77- 85 ,(2004) , 10.1016/J.CAM.2003.05.010
J. C. Simo, M. S. Rifai, A CLASS OF MIXED ASSUMED STRAIN METHODS AND THE METHOD OF INCOMPATIBLE MODES International Journal for Numerical Methods in Engineering. ,vol. 29, pp. 1595- 1638 ,(1990) , 10.1002/NME.1620290802
D. G. Roddeman, J. Drukker, C. W. J. Oomens, J. D. Janssen, The Wrinkling of Thin Membranes: Part I—Theory Journal of Applied Mechanics. ,vol. 54, pp. 884- 887 ,(1987) , 10.1115/1.3173133
E. H. Boutyour, H. Zahrouni, M. Potier-Ferry, M. Boudi, Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants International Journal for Numerical Methods in Engineering. ,vol. 60, pp. 1987- 2012 ,(2004) , 10.1002/NME.1033
Franz Dieter Fischer, Nikolaus Friedl, Andreas Noé, Franz G. Rammerstorfer, A Study on the Buckling Behaviour of Strips and Plates with Residual Stresses Steel Research International. ,vol. 76, pp. 327- 335 ,(2005) , 10.1002/SRIN.200506016
R. Nakhoul, Pierre Montmitonnet, N. Legrand, Manifested flatness defect prediction in cold rolling of thin strips International Journal of Material Forming. ,vol. 8, pp. 283- 292 ,(2015) , 10.1007/S12289-014-1166-Y