Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals

Abstract
Strain singularities appear in many linear elasticity problems. A very fine mesh has to be used in the vicinity of the singularity in order to obtain acceptable numerical solutions with the finite element method (FEM). Special enrichment functions describing this singular behavior can be used in the extended finite element method (X-FEM) to circumvent this problem. These functions have to be known in advance, but their analytical form is unknown...
Paper Details
Title
Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals
Published Date
Jan 1, 2010
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