A linear smoothed meshfree method with intrinsic enrichment functions for 2D crack analysis
ISSN: 0264-4401
Article publication date: 1 April 2022
Issue publication date: 5 July 2022
Abstract
Purpose
This article aims to develop an accurate and efficient meshfree Galerkin method based on the strain smoothing technique for linear elastic continuous and fracture problems.
Design/methodology/approach
This paper proposed a generalized linear smoothed meshfree method (LSMM), in which the compatible strain is reconstructed by the linear smoothed strains. Based on the idea of the weighted residual method and employing three linearly independent weight functions, the linear smoothed strains can be created easily in a smoothing domain. Using various types of basic functions, LSMM can solve the linear elastic continuous and fracture problems in a unified way.
Findings
On the one hand, the LSMM inherits the properties of high efficiency and stability from the stabilized conforming nodal integration (SCNI). On the other hand, the LSMM is more accurate than the SCNI, because it can produce continuous strains instead of the piece-wise strains obtained by SCNI. Those excellent performances ensure that the LSMM has the capability to precisely track the crack propagation problems. Several numerical examples are investigated to verify the accurate, convergence rate and robustness of the present LSMM.
Originality/value
This study provides an accurate and efficient meshfree method for simulating crack growth.
Keywords
Acknowledgements
This work was supported by the National Natural Science Foundations of China (Nos. 12162029, 51769026 and 51269024) and the Natural Science Foundation of Ningxia of China (No. 2022AAC03002).
Citation
Ban, C., Pu, N.N., Zhang, Y.F. and Wentao, M. (2022), "A linear smoothed meshfree method with intrinsic enrichment functions for 2D crack analysis", Engineering Computations, Vol. 39 No. 7, pp. 2449-2482. https://doi.org/10.1108/EC-02-2021-0072
Publisher
:Emerald Publishing Limited
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