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

214 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
Externally published	Yes

Bibliographical note

Funding Information:
The first author gratefully acknowledges the financial support of the Singapore Maritime Institute (Grant SMI-2014-MA11). Yuri Bazilevs was partially supported by the NASA (Grant NNX15AW13A).

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
Physics and Astronomy(all)
Computer Science Applications

Access to Document

10.1016/j.cma.2016.12.002

Cite this

@article{c233bdac136c4943ba71d6913c3a677c,

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.",

keywords = "Isogeometric analysis, Large deformation, Multiple patches, NURBS, PHT-splines, Thin shell",

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

note = "Funding Information: The first author gratefully acknowledges the financial support of the Singapore Maritime Institute (Grant SMI-2014-MA11). Yuri Bazilevs was partially supported by the NASA (Grant NNX15AW13A). Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2017",

month = apr,

day = "1",

doi = "10.1016/j.cma.2016.12.002",

language = "English",

volume = "316",

pages = "1157--1178",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier",

}

TY - JOUR

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.

N1 - Funding Information: The first author gratefully acknowledges the financial support of the Singapore Maritime Institute (Grant SMI-2014-MA11). Yuri Bazilevs was partially supported by the NASA (Grant NNX15AW13A). Publisher Copyright: © 2016 Elsevier B.V.

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

UR - http://www.scopus.com/inward/record.url?scp=85008474117&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2016.12.002

DO - 10.1016/j.cma.2016.12.002

M3 - Article

AN - SCOPUS:85008474117

SN - 0045-7825

VL - 316

SP - 1157

EP - 1178

JO - Computer Methods in Applied Mechanics and Engineering

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

Access to Document

Other files and links

Fingerprint

Cite this