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Tensor-orientierte Formulierung nichtlinearer, finiter Schalenelemente

Tensor-oriented formulation of nonlinear, finite shell elements

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Übersicht

In unmittelbarer Anlehnung an die Tensorformulierung geometrisch nichtlinearer Flächentrag-werkstheorien werden besonders genaue, finite Weggrößenmodelle hergeleitet. Sie sind für beliebige Schalen-formen einsetzbar und dienen insbesondere zur Simulation kritischer und überkritischer Systemantworten. Der vorliegende Aufsatz beschreibt die Herleitung der Elemente und überprüft deren Konvergenzverhalten und Leistungsfähigkeit.

Summary

In accordance with the tensor formulation of geometrically nonlinear shell theories high precision finite displacement models will be developed. They can be applied to arbitrarily curved shell shapes and are especially able to simulate critical and supercritical mechanical responses. The paper describes the derivation of the elements and investigates their convergence behavior and efficiency.

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Authors and Affiliations

  1. Krätzig & Partner Ingenieurgesellschaft mbH, Industriestraße 29, D-4630, Bochum, Bundesrepublik Deutschland

    R. Harte

  2. Institut für Konstruktiven Ingenieurbau, Lehrstuhl III, Statik und Dynamik, Ruhr-Universität Bochum, Universitätsstraße 150, D-4630, Bochum, Bundesrepublik Deutschland

    W. B. Krätzig

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  1. R. Harte
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Harte, R., Krätzig, W.B. Tensor-orientierte Formulierung nichtlinearer, finiter Schalenelemente. Ing. arch 56, 114–129 (1986). https://doi.org/10.1007/BF00537241

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  • DOI: https://doi.org/10.1007/BF00537241

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