Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 36, Issue 3-4, Pages 235-260Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0168-874X(00)00035-4
Keywords
discontinuous enrichment; partition-of-unity; fracture
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A technique is presented to model arbitrary discontinuities in the finite element framework by locally enriching a displacement-based approximation through a partition of unity method. This technique allows discontinuities to be represented independently of element boundaries. The method is applied to fracture mechanics, in which crack discontinuities are represented using both a jump function and the asymptotic near-tip fields. As specific examples, we consider cracks and crack growth in two-dimensional elasticity and Mindlin-Reissner plates. A domain form of the J-integral is also derived to extract the moment intensity factors. The accuracy and utility of the method is also discussed. (C) 2000 Elsevier Science B.V. All rights reserved.
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