Improved crack analysis of two-dimensional functionally graded materials by enriched natural element method

摘要

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