Isogeometric shell analysis with Kirchhoff-Love elements

J. Kiendl; K. U. Bletzinger; J. Linhard; R. Wüchner

doi:10.1016/j.cma.2009.08.013

Isogeometric shell analysis with Kirchhoff-Love elements

J. Kiendl, K. U. Bletzinger, J. Linhard, R. Wüchner

Chair of Structural Analysis

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

835 Scopus citations

Abstract

A Kirchhoff-Love shell element is developed on the basis of the isogeometric approach [16]. NURBS as basis functions for analysis have proven to be very efficient and offer the great feature of exact geometric representation. For a Kirchhoff-Love shell element they additionally have the significant advantage that the necessary continuities between elements are easily achieved. The element is formulated geometrically nonlinear. It is discretized by displacement degrees of freedom only. Aspects related to rotational degrees of freedom are handled by the displacement control variables, too. A NURBS-based CAD program is used to model shell structures built up from NURBS and isogeometric analysis is performed on the same model without meshing. Different examples show the performance of this method and its applicability for the integration of design and analysis.

Original language	English
Pages (from-to)	3902-3914
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	198
Issue number	49-52
DOIs	https://doi.org/10.1016/j.cma.2009.08.013
State	Published - 1 Nov 2009

Keywords

CAD
Isogeometric
Kirchhoff-Love
NURBS
Rotation-free
Shell

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10.1016/j.cma.2009.08.013

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title = "Isogeometric shell analysis with Kirchhoff-Love elements",

abstract = "A Kirchhoff-Love shell element is developed on the basis of the isogeometric approach [16]. NURBS as basis functions for analysis have proven to be very efficient and offer the great feature of exact geometric representation. For a Kirchhoff-Love shell element they additionally have the significant advantage that the necessary continuities between elements are easily achieved. The element is formulated geometrically nonlinear. It is discretized by displacement degrees of freedom only. Aspects related to rotational degrees of freedom are handled by the displacement control variables, too. A NURBS-based CAD program is used to model shell structures built up from NURBS and isogeometric analysis is performed on the same model without meshing. Different examples show the performance of this method and its applicability for the integration of design and analysis.",

keywords = "CAD, Isogeometric, Kirchhoff-Love, NURBS, Rotation-free, Shell",

author = "J. Kiendl and Bletzinger, {K. U.} and J. Linhard and R. W{\"u}chner",

note = "Funding Information: The authors would like to acknowledge the funding of the International Graduate School of Science and Engineering (IGSSE) at Technische Universit{\"a}t M{\"u}nchen, which is part of the German Excellence Initiative.",

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doi = "10.1016/j.cma.2009.08.013",

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AU - Bletzinger, K. U.

AU - Linhard, J.

AU - Wüchner, R.

N1 - Funding Information: The authors would like to acknowledge the funding of the International Graduate School of Science and Engineering (IGSSE) at Technische Universität München, which is part of the German Excellence Initiative.

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AB - A Kirchhoff-Love shell element is developed on the basis of the isogeometric approach [16]. NURBS as basis functions for analysis have proven to be very efficient and offer the great feature of exact geometric representation. For a Kirchhoff-Love shell element they additionally have the significant advantage that the necessary continuities between elements are easily achieved. The element is formulated geometrically nonlinear. It is discretized by displacement degrees of freedom only. Aspects related to rotational degrees of freedom are handled by the displacement control variables, too. A NURBS-based CAD program is used to model shell structures built up from NURBS and isogeometric analysis is performed on the same model without meshing. Different examples show the performance of this method and its applicability for the integration of design and analysis.

KW - CAD

KW - Isogeometric

KW - Kirchhoff-Love

KW - NURBS

KW - Rotation-free

KW - Shell

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JF - Computer Methods in Applied Mechanics and Engineering

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ER -

Isogeometric shell analysis with Kirchhoff-Love elements

Abstract

Keywords

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