A quadtree-polygon-based scaled boundary finite element method for crack propagation modeling in functionally graded materials

被引:46
|
作者
Chen, X. [1 ]
Luo, T. [2 ]
Ooi, E. T. [3 ]
Ooi, E. H. [4 ]
Song, C. [5 ]
机构
[1] Suzhou Univ Sci & Technol, Sch Civil Engn, Suzhou 215011, Peoples R China
[2] Xijing Univ, Sch Civil Engn, Xian 710123, Shaanxi, Peoples R China
[3] Federat Univ Australia, Sch Engn & Informat Technol, Ballarat, Vic 3350, Australia
[4] Monash Univ Malaysia, Sch Engn, Bandar Sunway 47500, Selangor, Malaysia
[5] Univ New South Wales, Sch Civil & Environm Engn, Sydney, NSW 2031, Australia
关键词
Scaled boundary finite element method; Functionally graded materials; Quadtree; Fracture; Crack propagation; STRESS INTENSITY FACTORS; FRACTURE-ANALYSIS; COUPLED METHOD; GROWTH; MESHES; MEDIA;
D O I
10.1016/j.tafmec.2018.01.008
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper presents a method to improve the computational efficiency of the scaled boundary finite element formulation for functionally graded materials. Both isotropic and orthotropic functionally graded materials are considered. This is achieved using a combination of quadtree and polygon meshes. This hybrid meshing approach is particularly suitable to be used with the SBFEM for functionally graded materials because of the significant amount of calculations required to compute the stiffness matrices of the polygons/cells in the mesh. When a quadtree structure is adopted, most of the variables required for the numerical simulation can be pre-computed and stored in the memory, retrieved and scaled as required during the computations, leading to an efficient method for crack propagation modeling. The scaled boundary finite element formulation enables accurate computation of the stress intensity factors directly from the stress solutions without any special post-processing techniques or local mesh refinement in the vicinity of the crack tip. Numerical benchmarks demonstrate the efficiency of the proposed method as opposed to using a purely polygon-mesh based approach.
引用
收藏
页码:120 / 133
页数:14
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