Implementation of 2D XFEM in VAST


  1. Jiang, L.
Corporate Authors
Defence R&D Canada - Atlantic, Dartmouth NS (CAN);MARTEC Ltd, Halifax NS (CAN)
This report is concerned with a recent implementation of the extended finite element method (XFEM) in the VAST finite element program for 2D fracture mechanics analyses. The XFEM is a new finite element formulation recently developed based on the method of partition of unity, in which the classical finite element approximation is enriched by a discontinuous function and the asymptotic displacement functions around crack tips. It allows the crack to be in the interior of elements, so eliminates the need for explicitly modelling cracks in the finite element mesh and the need for remeshing for crack propagation. In this report, the theoretical background of the XFEM formulation and various issues related to its implementation in VAST are discussed in detail. The results from an extensive numerical verification are also presented. The effects of various factors on the accuracy of XFEM predicted mixed mode stress intensity factors, including the mesh size, the area of crack tip enrichment, the minimum orders of numerical integration and the extent of constraints, are investigated and guidelines for properly using the XFEM capability are proposed. The results presented in this report demonstrated the potential and unique advantages of XFEM in analysing crack propagations in ship structures and a number of possible future developments are suggested.

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Report Number
DRDC-ATLANTIC-CR-2010-098;MARTEC-TR-10-10 — Contractor Report
Date of publication
01 Jul 2010
Number of Pages
Electronic Document(PDF)

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