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Limit-point buckling analyses using solid, shell and solid-shell elements

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Abstract

In this paper, the recently-developed solid-shell element SHB8PS is used for the analysis of a representative set of popular limit-point buckling benchmark problems. For this purpose, the element has been implemented in Abaqus/Standard finite element software and the modified Riks method was employed as an efficient path-following strategy. For the benchmark problems tested, the new element shows better performance compared to solid elements and often performs as well as state-of-the-art shell elements. In contrast to shell elements, it allows for the accurate prescription of boundary conditions as applied to the actual edges of the structure.

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Authors and Affiliations

  1. LEM3, UMR CNRS 7239, Arts et Métiers ParisTech, 4 rue A. Fresnel, 57078, Metz Cedex 03, France

    Marc Killpack & Farid Abed-Meraim

  2. Georgia Tech Lorraine, Georgia Institute of Technology, 2-3 rue Marconi, 57070, Metz, France

    Marc Killpack

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  1. Marc Killpack
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  2. Farid Abed-Meraim
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Correspondence to Farid Abed-Meraim.

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This paper was recommended for publication in revised form by Editor Maenghyo Cho

Farid Abed-Meraim received his Ph.D. in Theoretical and Applied Mechanics from École Polytechnique, Paris in 1999. He joined Arts et Métiers ParisTech, Metz Campus in 2000, where he is currently an associate professor at the LEM3 laboratory. His main research interests include structural stability (bifurcation) analysis of dissipative systems (elasto-plastic, visco-elastic and visco-plastic), material instability modeling in relation to the prediction of formability of metal sheets, as well as finite element technology (solid-shell formulations).

Marc Killpack received his B.S. and his M.S. in Mechanical Engineering from Brigham Young University and Georgia Institute of Technology, USA, respectively, in 2007 and 2008. After a joint program with Arts et Métiers Paris-Tech Metz, he joined Georgia Institute of Technology, where he is pursuing a robotics Ph.D. degree. His research interests cover issues related to controls, dynamics, and computer vision (perception).

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Killpack, M., Abed-Meraim, F. Limit-point buckling analyses using solid, shell and solid-shell elements. J Mech Sci Technol 25, 1105–1117 (2011). https://doi.org/10.1007/s12206-011-0305-3

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  • DOI: https://doi.org/10.1007/s12206-011-0305-3

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