- Dolbow, J. and Moes, N. and Belytschko, T., Discontinuous enrichment in finite elements with a partition of unity method,
Finite Elem. Anal. Des. (Netherlands), vol. 36 no. 3-4
pp. 235 - 60 [S0168-874X(00)00035-4] .
(last updated on 2007/04/08)
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 the jump function and 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
cracks;elasticity;finite element analysis;fracture mechanics;structural engineering;