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Structural Engineering and Mechanics Volume 38, Number 6, June25 2011 , pages 767-802 DOI: https://doi.org/10.12989/sem.2011.38.6.767 |
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A proposed set of popular limit-point buckling benchmark problems |
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Ion Leahu-Aluas and Farid Abed-Meraim
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| Abstract | ||
| Developers of new finite elements or nonlinear solution techniques rely on discriminative benchmark tests drawn from the literature to assess the advantages and drawbacks of new formulations. Buckling benchmark tests provide a rigorous evaluation of finite elements applied to thin structures, and a complete and detailed set of reference results would therefore prove very useful in carrying out such evaluations. Results are usually presented in the form of load-deflection curves that developers must reconstruct by extracting the points, a procedure which is often tedious and inaccurate. Moreover the curves are usually given without accompanying information such as the calculation time or number of iterations it took for the model to converge, even though this type of data is equally important in practice. This paper presents ten different limit-point buckling benchmark tests, and provides for each one the reference load-deflection curve, all the points necessary to recreate the curve in tabulated form, analysis data such as calculation time, number of iterations and increments, and all of the inputs used to obtain these results. | ||
| Key Words | ||
| finite element; nonlinear analysis; limit-point buckling benchmarks; post-buckling; pathfollowing strategy; large rotations | ||
| Address | ||
| Ion Leahu-Aluas: LEM3, UMR CNRS 7239, Arts et Metiers ParisTech, 4 rue A. Fresnel, 57078 Metz Cedex 03, France; Georgia Tech Lorraine, Georgia Institute of Technology, 2-3 rue Marconi, 57070 Metz, France Farid Abed-Meraim: LEM3, UMR CNRS 7239, Arts et Metiers ParisTech, 4 rue A. Fresnel, 57078 Metz Cedex 03, France | ||