Rotation free isogeometric thin shell analysis using PHT-splines

N. Nguyen-Thanh; J. Kiendl; H. Nguyen-Xuan; R. Wüchner; K. U. Bletzinger; Y. Bazilevs; T. Rabczuk

doi:10.1016/j.cma.2011.08.014

Rotation free isogeometric thin shell analysis using PHT-splines

N. Nguyen-Thanh
, J. Kiendl
, H. Nguyen-Xuan
, R. Wüchner
, K. U. Bletzinger
, Y. Bazilevs
, T. Rabczuk

Chair of Structural Analysis and Dynamics

Bauhaus-Universität Weimar
Technical University of Munich
University of Science – Vietnam National University Ho Chi Minh City
University of California

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

376 Scopus citations

Abstract

This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves C¹ continuity, so the Kirchhoff-Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.

Original language	English
Pages (from-to)	3410-3424
Number of pages	15
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	200
Issue number	47-48
DOIs	https://doi.org/10.1016/j.cma.2011.08.014
State	Published - 1 Nov 2011

Keywords

Isogeometric analysis
NURBS
PHT-splines
T-meshes
Thin shell

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10.1016/j.cma.2011.08.014

Cite this

@article{eeed8aea5e3549209ded9c5999872ef7,

title = "Rotation free isogeometric thin shell analysis using PHT-splines",

abstract = "This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves C1 continuity, so the Kirchhoff-Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.",

keywords = "Isogeometric analysis, NURBS, PHT-splines, T-meshes, Thin shell",

author = "N. Nguyen-Thanh and J. Kiendl and H. Nguyen-Xuan and R. W{\"u}chner and Bletzinger, \{K. U.\} and Y. Bazilevs and T. Rabczuk",

note = "Funding Information: This work was supported by the Research Training Group 1462 (Grant number 220-200-72 ), the Academic Research Collaboration (ARC) , the International Graduate School of Science and Engineering (IGSSE) at the Technische Universit{\"a}t M{\"u}nchen, the Vietnam National Foundation for Science and Technology Development (NAFOSTED) ; (Grant No. 107.02-2010.05 ). These supports are gratefully acknowledged.",

year = "2011",

month = nov,

day = "1",

doi = "10.1016/j.cma.2011.08.014",

language = "English",

volume = "200",

pages = "3410--3424",

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

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TY - JOUR

T1 - Rotation free isogeometric thin shell analysis using PHT-splines

AU - Nguyen-Thanh, N.

AU - Kiendl, J.

AU - Nguyen-Xuan, H.

AU - Wüchner, R.

AU - Bletzinger, K. U.

AU - Bazilevs, Y.

AU - Rabczuk, T.

N1 - Funding Information: This work was supported by the Research Training Group 1462 (Grant number 220-200-72 ), the Academic Research Collaboration (ARC) , the International Graduate School of Science and Engineering (IGSSE) at the Technische Universität München, the Vietnam National Foundation for Science and Technology Development (NAFOSTED) ; (Grant No. 107.02-2010.05 ). These supports are gratefully acknowledged.

PY - 2011/11/1

Y1 - 2011/11/1

N2 - This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves C1 continuity, so the Kirchhoff-Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.

AB - This paper presents a novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines). The method exploits the flexibility of T-meshes for local refinement. The main advantage of the PHT-splines in the context of thin shell theory is that it achieves C1 continuity, so the Kirchhoff-Love theory can be used in pristine form. No rotational degrees of freedom are needed. Numerical results show the excellent performance of the present method.

KW - Isogeometric analysis

KW - NURBS

KW - PHT-splines

KW - T-meshes

KW - Thin shell

UR - https://www.scopus.com/pages/publications/80052649552

U2 - 10.1016/j.cma.2011.08.014

DO - 10.1016/j.cma.2011.08.014

M3 - Article

AN - SCOPUS:80052649552

SN - 0045-7825

VL - 200

SP - 3410

EP - 3424

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 47-48

ER -

Rotation free isogeometric thin shell analysis using PHT-splines

Abstract

Keywords

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