Abstract
The prediction of the non-linear behavior of engineering structures by the finite element method, wherein instabilities (buckling, bifurcation, etc.) do not occur, has received considerable attention in the past. In contrast to that, it was not until recently that the development of so-called continuation algorithms has been actively pursued. Precisely, these algorithms aim to circumvent inherent numerical difficulties encountered in the vicinity of critical-points of the load-deflection diagram and to continue the analysis beyond these points (‘post-critical path’). The purpose of this paper is twofold. First, numerical methods currently in use for pre-and post-buckling analysis are briefly reviewed. Second, alternative algorithms are proposed and their computational efficiency and reliability are evaluated in comparison with each other and with existing algorithms as well. Numerical solutions for several typical test studies are presented in the last part of the paper.
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