NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics
An interaction integral method for evaluating mixed-mode stress intensity factors (SIFs) for two dimensional crack problems using NURBS-based isogeometric analysis method is investigated. The interaction integral method is based on the path independent J-integral. By introducing a known auxiliary fi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Chamran University of Ahvaz
2019-04-01
|
| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://jacm.scu.ac.ir/article_13715_ff0bba448157b9bad23f19c65abd3e0b.pdf |
| Summary: | An interaction integral method for evaluating mixed-mode stress intensity factors (SIFs) for two dimensional crack problems using NURBS-based isogeometric analysis method is investigated. The interaction integral method is based on the path independent J-integral. By introducing a known auxiliary field solution, the mixed-mode SIFs are calculated simultaneously. Among features of B-spline basis functions, the possibility of enhancing a B-spline basis with discontinuities by means of knot insertion makes isogeometric analysis method a suitable candidate for modelling discrete cracks. Moreover, the repetition of two different control points between two patches can create a discontinuity and also demonstrates a singularity in the stiffness matrix. In the case of a pre-defined interface, non-uniform rational B-splines are used to obtain an efficient discretization. Various numerical simulations for edge and center cracks demonstrate the suitability of the isogeometric analysis approach to fracture mechanics. |
|---|---|
| ISSN: | 2383-4536 2383-4536 |