A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics

被引：137

作者：

Song, Chongmin ^{[1
]}

Ooi, Ean Tat ^{[2
]}

Natarajan, Sundararajan ^{[3
]}

机构：

[1] Univ New South Wales, Sch Civil Environm Engn, Sydney, NSW 2052, Australia

[2] Federat Univ, Sch Engn & Informat Technol, Ballarat, Vic 3350, Australia

[3] Indian Inst Technol Madras, Dept Mech Engn, Integrated Modelling & Simulat Lab, Chennai, Tamil Nadu, India

来源：

ENGINEERING FRACTURE MECHANICS | 2018年 / 187卷

关键词：

Crack propagation; Interface crack; Scaled boundary finite element method; Stress intensity factors; T-stress; STRESS INTENSITY FACTORS; FREE GALERKIN METHODS; FUNCTIONALLY GRADED MATERIALS; MODE CRACK-PROPAGATION; HIGHER-ORDER TERMS; DISSIMILAR ANISOTROPIC MATERIALS; POLYGON-QUADTREE MESHES; TIP ASYMPTOTIC FIELDS; INTERFACE CRACKS; COHESIVE CRACK;

D O I：

10.1016/j.engfracmech.2017.10.016

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The development and the application of the scaled boundary finite element method for fracture analysis is reviewed. In this method, polygonal elements (referred to as subdomains) of arbitrary number of edges are constructed, with the only limitation that the whole boundary is directly visible from the scaling centre. The element solution is semi-analytical. When applied to two-dimensional linear fracture mechanics, any kinds of stress singularities are represented analytically without local refinement, special elements and enrichment functions. The flexibility of polygons to represent arbitrary geometric shapes leads to simple yet efficient remeshing algorithms to model crack propagation. Coupling procedures with the extended finite element method, meshless method and boundary element method to handle changes in the crack morphology have been established. These developments result in an efficient framework for fracture modelling. Examples of applications are provided to demonstrate their feasibility. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：45 / 73

页数：29

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