Abstract
This paper introduces a 2-D enriched Petrov-Galerkin natural element method (enriched PG-NEM) for the reliable crack analysis. The total displacement is expressed as a linear combination of usual non-singular displacement field and the near-tip singular one. The former is approximated in terms of Laplace interpolation functions, and its strain and stress distributions are smoothened by the patch recovery technique. The unknown coefficients of the latter are determined by a coupled PG-NEM, and its strain and stress distributions are smoothened by the patch recovery technique. The validity of present method is justified through the evaluation of crack-tip stress distributions and the stress intensity factors (SIFs) through two numerical examples. It has been found that the proposed method effectively and successfully captures the near-tip stress singularity with the reasonable accuracy, even with the remarkably coarse grid, when compared with an extremely fine grid and the analytical and numerical reference solutions.
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05 March 2020
This erratum is to notify a mismatch of DOIs between the items uploaded in Springer web page and the final manuscripts published in Volume 24, Issue 2 (Feb. 2020). Due to a technical error, incorrect DOIs were used in the Springer web page. The DOIs in the published issue are correct.
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Acknowledgements
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant No. NRF-2017R1D1A1B03028879). This work was supported by 2019 Hongik University Research Fund.
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A correction to this article is available at https://doi.org/10.1007/s12205-020-2402-2
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Cho, JR. 2-D Reliable Crack Analysis by Enriched Petrov-Galerkin Natural Element Method. KSCE J Civ Eng 24, 561–568 (2020). https://doi.org/10.1007/s12205-019-0978-1
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DOI: https://doi.org/10.1007/s12205-019-0978-1