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An isogeometric approach to cohesive zone modeling
Author(s) -
Verhoosel Clemens V.,
Scott Michael A.,
de Borst René,
Hughes Thomas J. R.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3061
Subject(s) - isogeometric analysis , discretization , classification of discontinuities , basis function , finite element method , spline (mechanical) , mathematics , computer science , structural engineering , mathematical analysis , engineering
Abstract The possibility of enhancing a B‐spline basis with discontinuities by means of knot insertion makes isogeometric finite elements a suitable candidate for modeling discrete cracks. In this contribution we use isogeometric finite elements to discretize the cohesive zone formulation for failure in materials. In the case of a pre‐defined interface, non‐uniform rational B‐splines are used to obtain an efficient discretization. In the case that propagating cracks are considered, T‐splines are found to be more suitable, due to their ability to generate localized discontinuities. Various numerical simulations demonstrate the suitability of the isogeometric approach to cohesive zone modeling. Copyright © 2010 John Wiley & Sons, Ltd.