XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

被引：167

作者：

Amiri, F. ^{[1
]}

Anitescu, C. ^{[1
]}

Arroyo, M. ^{[2
]}

Bordas, S. P. A. ^{[3
]}

Rabczuk, T. ^{[1
,4
]}

机构：

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

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 3, Sch Civil Engn Barcelona ETSECCPB, Barcelona, Spain

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

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

来源：

COMPUTATIONAL MECHANICS | 2014年 / 53卷 / 01期

基金：

欧洲研究理事会;

关键词：

Local maximum entropy; Convex approximation; Meshless methods; Extrinsic enrichment; FINITE-ELEMENT-METHOD; MESHFREE METHOD; INFORMATION-THEORY; CRACK-GROWTH; IMPLEMENTATION; INTEGRATION;

D O I：

10.1007/s00466-013-0891-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting.

引用

页码：45 / 57

页数：13

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