Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

N. Nguyen-Thanh; K. Zhou; X. Zhuang; P. Areias; H. Nguyen-Xuan; Y. Bazilevs; T. Rabczuk

doi:10.1016/j.cma.2016.12.002

Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

N. Nguyen-Thanh, K. Zhou, X. Zhuang, P. Areias, H. Nguyen-Xuan, Y. Bazilevs, T. Rabczuk

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

238 Citations (Scopus)

Abstract

We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C¹ continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.

Original language	English
Pages (from-to)	1157-1178
Number of pages	22
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	316
DOIs	https://doi.org/10.1016/j.cma.2016.12.002
Publication status	Published - 2017 Apr 1

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

Isogeometric analysis
Large deformation
Multiple patches
NURBS
PHT-splines
Thin shell

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.2016.12.002

Cite this

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title = "Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling",

abstract = "We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.",

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T1 - Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

AU - Nguyen-Thanh, N.

AU - Zhou, K.

AU - Zhuang, X.

AU - Areias, P.

AU - Nguyen-Xuan, H.

AU - Bazilevs, Y.

AU - Rabczuk, T.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.

AB - We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.

KW - Isogeometric analysis

KW - Large deformation

KW - Multiple patches

KW - NURBS

KW - PHT-splines

KW - Thin shell

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M3 - Article

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SN - 0045-7825

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JF - Computer Methods in Applied Mechanics and Engineering

ER -

Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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