### Abstract

Language | English |
---|---|

Pages | 1-22 |

Number of pages | 22 |

Journal | Computer Methods in Applied Mechanics and Engineering |

Volume | 271 |

DOIs | |

State | Published - 2014 |

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### Cite this

*Computer Methods in Applied Mechanics and Engineering*,

*271*, 1-22. DOI: 10.1016/j.cma.2013.11.023

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*Computer Methods in Applied Mechanics and Engineering*, vol. 271, pp. 1-22. DOI: 10.1016/j.cma.2013.11.023

**An isogeometric continuum shell element for non-linear analysis.** / Hosseini, S.; Remmers, J.J.C.; Verhoosel, C.V.; Borst, de, R.

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

TY - JOUR

T1 - An isogeometric continuum shell element for non-linear analysis

AU - Hosseini,S.

AU - Remmers,J.J.C.

AU - Verhoosel,C.V.

AU - Borst, de,R.

PY - 2014

Y1 - 2014

N2 - An isogeometric continuum shell formulation is proposed in which NURBS basis functions are used to construct the reference surface of the shell. Through the thickness behavior is also interpolated using an arbitrary higher-order B-spline which is in contrast to the standard continuum shell (solid-like shell) formulation where a linear Lagrange shape function is typically used in the thickness direction. This yields a complete isogeometric representation of the continuum shell formulation. The proposed shell element is implemented in a standard finite element code using Bezier extraction which facilitates numerical integration on the ereference surface of the shell. Through the thickness integration is done using a connectivity array which determines the support of a B-spline basis function over an element. The formulation has been verified using different linear and geometrically non-linear examples. The ability of the formulation in modelling delamination buckling in composite materials is also demonstrated.

AB - An isogeometric continuum shell formulation is proposed in which NURBS basis functions are used to construct the reference surface of the shell. Through the thickness behavior is also interpolated using an arbitrary higher-order B-spline which is in contrast to the standard continuum shell (solid-like shell) formulation where a linear Lagrange shape function is typically used in the thickness direction. This yields a complete isogeometric representation of the continuum shell formulation. The proposed shell element is implemented in a standard finite element code using Bezier extraction which facilitates numerical integration on the ereference surface of the shell. Through the thickness integration is done using a connectivity array which determines the support of a B-spline basis function over an element. The formulation has been verified using different linear and geometrically non-linear examples. The ability of the formulation in modelling delamination buckling in composite materials is also demonstrated.

U2 - 10.1016/j.cma.2013.11.023

DO - 10.1016/j.cma.2013.11.023

M3 - Article

VL - 271

SP - 1

EP - 22

JO - Computer Methods in Applied Mechanics and Engineering

T2 - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -