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Nonlinear Finite Element Analysis in Structural Mechanics pp 63–89Cite as

Strategies for Tracing the Nonlinear Response Near Limit Points

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Abstract

For the prebuckling range an extensive literature of effective solution techniques exists for the numerical solution of structural problems but only a few algorithms have been proposed to trace nonlinear response from the pre-limit into the post-limit range. Among these are the simple method of suppressing equilibrium iterations, the introduction of artificial springs, the displacement control method and the “constant-arc-length method” of Riks/Wempner. It is the purpose of this paper to review these methods and to discuss the modifications to a program that are necessary for their implementation. Selected numerical examples show that a modified Riks/Wempner method can be especially recommended.

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Author information

Authors and Affiliations

  1. Universitat Stuttgart, Germany

    E. Ramm

Authors
  1. E. Ramm
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Editor information

Editors and Affiliations

  1. Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum, Universitätsstraße 150, 4630, Bochum, Germany

    W. Wunderlich

  2. Fachbereich Bauingenieur- und Vermessungswesen, Universität Hannover, Callinstraße 32, 3000, Hannover, Germany

    E. Stein

  3. Department of Mechanical Engineering, MIT, 02139, Cambridge, MA, USA

    K.-J. Bathe Ph. D.

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© 1981 Springer-Verlag Berlin Heidelberg

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Ramm, E. (1981). Strategies for Tracing the Nonlinear Response Near Limit Points. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-81589-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81591-1

  • Online ISBN: 978-3-642-81589-8

  • eBook Packages: Springer Book Archive

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