Cracking particles: a simplified meshfree method for arbitrary evolving cracks

By Timon Rabczuk, Ted Belytschko. 2004

1,784 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d6d0141429a38764fde41840c1a1bccb954d318c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Timon Rabczuk
2. Xiaoying Zhuang
3. Hung Nguyen-Xuan
4. Stéphane P.A. Bordas
5. Charles E. Augarde
6. Trung Nguyen-Thoi
7. Hong Zheng
8. Shuwei Zhou

In Computational Mechanics

1. Timon Rabczuk
2. Stéphane P.A. Bordas
3. Hung Nguyen-Xuan
4. Trung Nguyen-Thoi
5. Xiaoying Zhuang
6. Guirong Liu
7. N. Nguyen‐Thanh
8. Charles E. Augarde

In Mechanics of Materials

1. Timon Rabczuk
2. Stéphane P.A. Bordas
3. Xiaoying Zhuang
4. Hung Nguyen-Xuan
5. Trung Nguyen-Thoi
6. Guirong Liu
7. Ted Belytschko
8. Charles E. Augarde

Citations in the corpus

• A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “have combined the strain smoothing technique [19] used in meshfree methods [20–27] into the finite element method using quadrilateral elements to formulate a cell/element-based smoothed finite element method (SFEM or CS-FEM) [28–30] for 2D solids.”
• The MLS-based numerical manifold method with applications to crack analysis (2014, methodology): “As for the simulation of multiple crack growth, we remark here that the procedure by Rabczuk and Belytschko (2004) is a promising alternative, which in solution does not require explicit geometry of cracks; instead the final cracks are formed by connecting contiguous broken particles.”
• A Node-Based Smoothed eXtended Finite Element Method (NS-XFEM) for Fracture Analysis (2011, methodology): “The H(x) function is given by [Moes, Dolbow, and Belytschko (1999); Rabczuk and Belytschko (2004)].”
• A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields (2014, neutral): “Recently, much effort has been directed towards the application of meshless methods to crack problems to overcome the difficulties in traditional numerical methods such as meshless methods for dynamic problem, 2D fracture modelling [9–18], 3D fracture modelling [19,38–41], fluid structure integratio”
• A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, neutral): “Therefore, numerical approaches such as the boundary element method (BEM) [8], the finite element method (FEM) [9], and meshless methods [10–13] have been suggested to solve the general crack problems in anisotropic media.”