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Application of Ordinary Kriging Interpolation Method for p-Adaptive Finite Element Analysis of 2-D Cracked Plates  

Woo, Kwang-Sung (영남대학교 건설환경공학부)
Jo, Jun-Hyung (한국전력공사 서울전력구 건설처 토목1부)
Park, Mi-Young (제일엔지니어링 구조부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.4, 2006 , pp. 429-440 More about this Journal
Abstract
This paper comprises two specific objectives. The first is to examine the applicability of ordinary kriging interpolation(OK) to the p-adaptivity of the finite element method that is based on variogram modeling. The second objective Is to present the adaptive procedure by the hierarchical p-refinement in conjunction with a posteriori error estimator using the modified S.P.R. (superconvergent patch recovery) method. The ordinary kriging method that is one of weighted interpolation techniques is applied to obtain the estimated exact solution from the stress data at the Gauss points. The weight factor is determined by experimental and theoretical variograms for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. In the p-refinement, the analytical domain has to be refined automatically to obtain an acceptable level of accuracy by increasing the p-level non-uniformly or selectively. To verify the performance of the modified S.P.R. method, the new error estimator based on limit value has been proposed. The validity of the proposed approach has been tested with the help of some benchmark problems of linear elastic fracture mechanics such as a centrally cracked panel, a single edged crack, and a double edged crack.
Keywords
ordinary kriging interpolation; modified S.P.R. method; limit value approach; adaptive p-refinement; variogram;
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