|
|||||
|
|
A high‐order generalized FEM for through‐the‐thickness branched cracks |
|
| Authors: | C. A. Duarte L. G. Reno A. Simone |
| Affiliation: | 1. Department of Civil and Environmental Engineering, University of Illinois at Urbana‐Champaign, 2122 Newmark Laboratory MC 250, 205 North Mathews Av., Urbana, IL 61801, U.S.A.Department of Civil and Environmental Engineering, University of Illinois at Urbana‐Champaign, 2122 Newmark Laboratory MC 250, 205 North Mathews Av., Urbana, IL 61801, U.S.A.;2. Department of Civil and Environmental Engineering, University of Illinois at Urbana‐Champaign, 2122 Newmark Laboratory MC 250, 205 North Mathews Av., Urbana, IL 61801, U.S.A.;3. Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600 GA, Delft, The Netherlands |
| Abstract: | This paper presents high‐order implementations of a generalized finite element method for through‐the‐thickness three‐dimensional branched cracks. This approach can accurately represent discontinuities such as triple joints in polycrystalline materials and branched cracks, independently of the background finite element mesh. Representative problems are investigated to illustrate the accuracy of the method in combination with various discretizations and refinement strategies. The combination of local refinement at crack fronts and high‐order continuous and discontinuous enrichments proves to be an excellent combination which can deliver convergence rates close to that of problems with smooth solutions. Copyright © 2007 John Wiley & Sons, Ltd. |
| Keywords: | branched crack generalized finite element method hp‐method high‐order finite elements partition of unity X‐FEM |