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New insights in nonlinear static stability analysis by the FEM

B. Pichler1, H.A. Mang1
Institute for Strength of Materials, Vienna University of Technology, Austria

Computer Modeling in Engineering & Sciences 2000, 1(3), 43-55.


In order to avoid a fully nonlinear analysis to obtain stability limits on nonlinear load-displacement paths, linear eigenvalue problems may be used to compute estimates of such limits. In this paper an asymptotic approach for assessment of the errors resulting from such estimates is presented. Based on the consistent linearization of the geometrically nonlinear static stability criterion – the so-called consistently linearized eigenvalue problem – higher-order estimation functions can be calculated. They are obtained from a scalar post-calculation performed after the solution of the eigenproblem. Different extensions of these higher-order estimation functions are presented. An ab initio criterion for the identification of the type of loss of stability (i.e., either bifurcation or limit-point buckling) is presented.


consistent linearization, asymptotic approach, higher-order estimation, imperfection sensitivity, stability

Cite This Article

Pichler, B., Mang, H. (2000). New insights in nonlinear static stability analysis by the FEM. CMES-Computer Modeling in Engineering & Sciences, 1(3), 43–55.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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