Robustness of isogeometric structural discretizations under severe mesh distortion

被引：207

作者：

Lipton, S. ^{[1
]}

Evans, J. A. ^{[1
]}

Bazilevs, Y. ^{[2
]}

Elguedj, T. ^{[3
]}

Hughes, T. J. R. ^{[1
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA

[3] Univ Lyon, CNRS INSA Lyon, LaMCoS, UMR5259, F-69621 Villeurbanne, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2010年 / 199卷 / 5-8期

关键词：

Isogeometric analysis; NURBS; Structural analysis; Mesh degeneration; Finite elements; (F)over-bar method; Circular fillet patch; NONLINEAR ELASTICITY; PROJECTION METHODS; FINITE-ELEMENTS; STRAIN ANALYSIS; TORSION TEST; NURBS; CONTINUITY; CONSTRAINT; GEOMETRY; VERSION;

D O I：

10.1016/j.cma.2009.01.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper investigates higher-order and higher-continuity functions in isogeometric structural analysis under distortion of the control and physical meshes. First, the concepts behind isogeometric analysis are briefly reviewed. The effect of perturbing control points upon the geometrical mapping is observed in the one-dimensional setting. The concept is extended to multiple dimensions with a series of cases where the interior of a cube is distorted in different ways and patch tests are performed to assess accuracy. A circular fillet patch is introduced through the appropriate degeneration of a control mesh in order to address the problem of modeling small features in finite element models. The fillet patch is tested with two problems of linear elasticity and is shown to be accurate. The investigation is further extended to the setting of large-deformation nearly incompressible nonlinear elasticity with two examples which make use of the recently proposed F projection method. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：357 / 373

页数：17

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