Extended isogeometric analysis for material interface problems

被引：36

作者：

Jia, Yue ^{[1
]}

Anitescu, Cosmin ^{[1
]}

Ghorashi, Seyed Shahram ^{[2
]}

Rabczuk, Timon ^{[1
,3
]}

机构：

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

[2] Bauhaus Univ Weimar, Res Training Grp 1462, D-99423 Weimar, Germany

[3] Korea Univ, Sch Civil Environm & Architectural Engn, Seoul, South Korea

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2015年 / 80卷 / 03期

关键词：

Isogeometric analysis; NURBS; XIGA; enrichment functions; Poisson's equation; inverse mapping; curved triangular element; FINITE-ELEMENT-METHOD; MESHFREE THIN SHELL; NURBS; PARTITION; CAD;

D O I：

10.1093/imamat/hxu004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an approach to extend the isogeometric analysis (IGA) method to solve material interface problems. The development is carried out through incorporating the advantages of the extended finite element method into the standard IGA approach for solving problems with discontinuities. By applying both the XIGA and IGA methods to solve Poisson's equation problem containing weak discontinuities, we demonstrate that the XIGA achieves the optimal convergence rate, whereas the IGA only converges suboptimally. The proposed method is then successfully applied to solve bimaterial and curved material interface problems.

引用

页码：608 / 633

页数：26

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