Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

被引：233

作者：

Nguyen-Thanh, N. ^{[1
]}

Nguyen-Xuan, H. ^{[2
,3
]}

Bordas, S. P. A. ^{[4
]}

Rabczuk, T. ^{[1
]}

机构：

[1] Bauhaus Univ Weimar, Inst Struct Mech, Marienstr 15, D-99423 Weimar, Germany

[2] VNU HCM, Univ Sci, Fac Math & Comp Sci, Dept Mech, Ho Chi Minh City, Vietnam

[3] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City, Vietnam

[4] Cardiff Univ, Sch Engn, Inst Modelling & Simulat Mech & Mat, Cardiff CF24 3AA, S Glam, Wales

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 21-22期

基金：

英国工程与自然科学研究理事会;

关键词：

Isogeometric analysis; T-spline; T-meshes; PHT-spline; FINITE-ELEMENT-METHOD; PARTICLE METHODS; MESHFREE METHOD; NURBS; CONTINUITY; REFINEMENT;

D O I：

10.1016/j.cma.2011.01.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1892 / 1908

页数：17

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