Title | Discontinuous enrichment in finite elements with a partition of unity method |
Publication Type | Journal Article |
Year of Publication | 2000 |
Authors | J Dolbow, N Moës, and T Belytschko |
Journal | Finite elements in analysis and design |
Volume | 36 |
Issue | 3 |
Start Page | 235 |
Pagination | 235 - 260 |
Date Published | 01/2000 |
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. |
DOI | 10.1016/S0168-874X(00)00035-4 |
Short Title | Finite elements in analysis and design |