A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields

By Xiaoying Zhuang, Yongchang Cai, Charles E. Augarde. 2014

102 citations recorded by the source corpus.

A new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/99768ee5330860ce43f741474d5120b958f1b56d

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Predicting the fracture toughness of PNCs: A stochastic approach based on ANN and ANFIS (2015, unknown): “Other effective computational methods to predict mechanical and fracture-related properties of polymer-matrix composites include meshfree approaches [7–11], finite element methods [11–17] or concurrent multiscale methods [18–24].”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, background): “extended finite element [1, 2], meshfree [3, 4, 5, 6, 7, 8, 9], phantom-node [10, 11, 12], XIGA [13, 14] and remeshing techniques [15, 16]), it is still a major challenge within these frameworks.”