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The Taylor Impact Test Problem Revisiting the Standard 2-Node Rod Finite Element

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The finite element method in the 1990’s

Abstract

The Taylor impact test is a standard benchmark problem in high speed computational mechanics. Sophisticated Euler or Lagrange methods exist to solve it while it still poses challenges to applied mathematicians. It is shown that some qualitatively acceptable results can be achieved by bringing limited changes to the standard 2 node rod finite element. While not very accurate, the resulting 1D model is attractive for educational purposes.

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References

  1. NOURI, A. — Problèmes hyperboliques en élastoplasticité dynamique. Thesis submitted to the University of Nice, presented on January 17, 1991

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  2. ARNAUD, L. — Quelques schémas numériques adaptés à l’rélastodynamique en configuration axisymétrique. Thesis submitted to the University of Bordeaux I, presented on June 28, 1990

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  3. CHAVANT, C. PLEXUS: A general computer code for explicit Lagrangian computation. SMIRT 5 B2/8 Berlin 1979

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E. Oñate J. Periaux A. Samuelsson

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© 1991 Springer-Verlag Berlin Heidelberg

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Cormeau, I. (1991). The Taylor Impact Test Problem Revisiting the Standard 2-Node Rod Finite Element. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_23

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  • DOI: https://doi.org/10.1007/978-3-662-10326-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-10328-9

  • Online ISBN: 978-3-662-10326-5

  • eBook Packages: Springer Book Archive

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