Improved crack analysis of two-dimensional functionally graded materials by enriched natural element method
- Authors
- Cho, Jin-Rae
- Issue Date
- May-2020
- Publisher
- SAGE PUBLICATIONS LTD
- Keywords
- Functionally graded material; stress intensity factor; modified interaction integral; enriched Petrov-Galerkin natural element method
- Citation
- PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, v.234, no.10, pp.2012 - 2023
- Journal Title
- PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
- Volume
- 234
- Number
- 10
- Start Page
- 2012
- End Page
- 2023
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/11736
- DOI
- 10.1177/0954406220903742
- ISSN
- 0954-4062
- Abstract
- The numerical calculation of stress intensity factors of two-dimensional functionally graded materials is introduced by an enriched Petrov-Galerkin natural element method (enriched PG-NEM). The overall trial displacement field is basically approximated in terms of Laplace interpolation functions and it is enriched by the near-tip asymptotic displacement field. The overall strain and stress fields which were approximated by PG-NEM were smoothened and enhanced by the patch recovery. The modified interaction integral M similar to ( 1 , 2 ) is used to evaluate the stress intensity factors of functionally graded materials with the spatially varying elastic modulus. The validity of present method is justified through the evaluation of crack-tip stress distributions and the stress intensity factors of four numerical examples. It has been found that the proposed method effectively and successfully captures the near-tip stress singularity with a remarkably improved 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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- Appears in
Collections - College of Science and Technology > Department of Naval Architecture and Ocean Engineering > 1. Journal Articles
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