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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