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A Gridless Finite Difference Method for Elastic Crack Analysis  

Yoon, Young-Cheol (명지전문대학 토목과)
Kim, Dong-Jo (연세대학교 사회환경시스템공학부)
Lee, Sang-Ho (연세대학교 사회환경시스템공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.3, 2007 , pp. 321-327 More about this Journal
Abstract
This study presents a new gridless finite difference method for solving elastic crack problems. The method constructs the Taylor expansion based on the MLS(Moving Least Squares) method and effectively calculates the approximation and its derivatives without differentiation process. Since no connectivity between nodes is required, the modeling of discontinuity embedded in the domain is very convenient and discontinuity effect due to crack is naturally implemented in the construction of difference equations. Direct discretization of the governing partial differential equations makes solution process faster than other numerical schemes using numerical integration. Numerical results for mode I and II crack problems demonstrates that the proposed method accurately and efficiently evaluates the stress intensity factors.
Keywords
elastic crack; grid; finite difference method; taylor expansion; moving least squares method;
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Times Cited By KSCI : 2  (Citation Analysis)
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