Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy

Volume: 340, Pages: 559 - 576
Published: Oct 1, 2018
Abstract
For integrals with various orders of vertex singularity encountered in the generalized/extended finite element method, three difficulties should be concerned as: (a) the singularity with respect to local distance r; (b) the near singularity caused by ill-shaped patches; (c) the near singularity during the iso-parametric transformation. In this paper, based on the Duffy transformation, the near singularities caused by ill-shaped patches and...
Paper Details
Title
Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy
Published Date
Oct 1, 2018
Volume
340
Pages
559 - 576
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