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...
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Shahid Chamran University of Ahvaz
2019-04-01
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doaj-405e2d0dcd8349718425cf4b8c93e9d92020-11-24T21:45:54ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362019-04-015221723010.22055/jacm.2018.25429.126513715NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture MechanicsAbdolghafour Khademalrasoul0Department of Civil Engineering, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, IranAn 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.http://jacm.scu.ac.ir/article_13715_ff0bba448157b9bad23f19c65abd3e0b.pdfNURBSIsogeometric analysis methodKnot insertionInteraction integral |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Abdolghafour Khademalrasoul |
spellingShingle |
Abdolghafour Khademalrasoul NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics Journal of Applied and Computational Mechanics NURBS Isogeometric analysis method Knot insertion Interaction integral |
author_facet |
Abdolghafour Khademalrasoul |
author_sort |
Abdolghafour Khademalrasoul |
title |
NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics |
title_short |
NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics |
title_full |
NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics |
title_fullStr |
NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics |
title_full_unstemmed |
NURBS-Based Isogeometric Analysis Method Application to Mixed-Mode Computational Fracture Mechanics |
title_sort |
nurbs-based isogeometric analysis method application to mixed-mode computational fracture mechanics |
publisher |
Shahid Chamran University of Ahvaz |
series |
Journal of Applied and Computational Mechanics |
issn |
2383-4536 2383-4536 |
publishDate |
2019-04-01 |
description |
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. |
topic |
NURBS Isogeometric analysis method Knot insertion Interaction integral |
url |
http://jacm.scu.ac.ir/article_13715_ff0bba448157b9bad23f19c65abd3e0b.pdf |
work_keys_str_mv |
AT abdolghafourkhademalrasoul nurbsbasedisogeometricanalysismethodapplicationtomixedmodecomputationalfracturemechanics |
_version_ |
1725903543845519360 |