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Towards the Formulation of Effective General Shell Elements

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The Finite Element Analysis of Shells - Fundamentals

Part of the book series: Computational Fluid and Solid Mechanics ((COMPFLUID))

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Abstract

In Chapter 7 we discussed the difficulties encountered in the formulation of reliable and effective shell elements. These difficulties are summarized in the synopsis of Figure 8.1 in correspondence with the various types of shell asymptotic behaviors that can be encountered, as addressed in Chapter 5. The objective of the present chapter is to propose some strategies to evaluate shell finite element discretizations in the search for improved schemes. With general analytical proofs not available for the convergence behavior, the numerical assessment is a key ingredient in these strategies. As an example we present the formulation of the MITC shell elements and demonstrate how the numerical assessment of these elements can be performed.

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Authors and Affiliations

  1. INRIA Paris-Rocquencourt, Le Chesnay, France

    Dominique Chapelle

  2. Massachusetts Institute of Technology, Cambridge, USA

    Klaus-Jürgen Bathe

Authors
  1. Dominique Chapelle
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  2. Klaus-Jürgen Bathe
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Chapelle, D., Bathe, KJ. (2011). Towards the Formulation of Effective General Shell Elements. In: The Finite Element Analysis of Shells - Fundamentals. Computational Fluid and Solid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16408-8_8

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  • DOI: https://doi.org/10.1007/978-3-642-16408-8_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16407-1

  • Online ISBN: 978-3-642-16408-8

  • eBook Packages: EngineeringEngineering (R0)

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