Discontinuous enrichment in finite elements with a partition of unity method

TitleDiscontinuous enrichment in finite elements with a partition of unity method
Publication TypeJournal Article
Year of Publication2000
AuthorsJ Dolbow, N Moës, and T Belytschko
JournalFinite Elements in Analysis and Design
Volume36
Issue3
Start Page235
Pagination235 - 260
Date Published01/2000
Abstract

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.

DOI10.1016/S0168-874X(00)00035-4
Short TitleFinite Elements in Analysis and Design