An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

N. Nguyen-Thanh; N. Valizadeh; M. N. Nguyen; H. Nguyen-Xuan; X. Zhuang; P. Areias; Goangseup Zi; Y. Bazilevs; L. De Lorenzis; Timon Rabczuk

doi:10.1016/j.cma.2014.08.025

An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

N. Nguyen-Thanh
, N. Valizadeh
, M. N. Nguyen
, H. Nguyen-Xuan
, X. Zhuang
, P. Areias
, Goangseup Zi
, Y. Bazilevs
, L. De Lorenzis
, Timon Rabczuk

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

344 Citations (Scopus)

Abstract

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C¹-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

Original language	English
Pages (from-to)	265-291
Number of pages	27
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	284
DOIs	https://doi.org/10.1016/j.cma.2014.08.025
Publication status	Published - 2015 Feb 1

Bibliographical note

Publisher Copyright:
© 2014 Elsevier B.V.

Keywords

Fracture mechanics
Isogeometric analysis
NURBS
Thin shells
XFEM
XIGA

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2014.08.025

Cite this

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title = "An extended isogeometric thin shell analysis based on Kirchhoff-Love theory",

abstract = "An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.",

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doi = "10.1016/j.cma.2014.08.025",

language = "English",

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AU - Nguyen-Thanh, N.

AU - Valizadeh, N.

AU - Nguyen, M. N.

AU - Nguyen-Xuan, H.

AU - Zhuang, X.

AU - Areias, P.

AU - Zi, Goangseup

AU - Bazilevs, Y.

AU - De Lorenzis, L.

AU - Rabczuk, Timon

PY - 2015/2/1

Y1 - 2015/2/1

N2 - An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

AB - An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness cracks in thin shell structures is developed. The discretization is based on Non-Uniform Rational B-Splines (NURBS). The proposed XIGA formulation can reproduce the singular field near the crack tip and the discontinuities across the crack. It is based on the Kirchhoff-Love theory where C1-continuity of the displacement field is required. This condition is satisfied by the NURBS basis functions. Hence, the formulation eliminates the need of rotational degrees of freedom or the discretization of the director field facilitating the enrichment strategy. The performance and validity of the formulation is tested by several benchmark examples.

KW - Fracture mechanics

KW - Isogeometric analysis

KW - NURBS

KW - Thin shells

KW - XFEM

KW - XIGA

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DO - 10.1016/j.cma.2014.08.025

M3 - Article

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SP - 265

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

An extended isogeometric thin shell analysis based on Kirchhoff-Love theory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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