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An isogeometric analysis approach to gradient damage models
Author(s) -
Verhoosel Clemens V.,
Scott Michael A.,
Hughes Thomas J. R.,
de Borst René
Publication year - 2011
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.3150
Subject(s) - isogeometric analysis , spurious relationship , discretization , finite element method , mathematics , basis function , computer science , structural engineering , mathematical analysis , engineering , machine learning
Continuum damage formulations are commonly used for the simulation of diffuse fracture processes. Implicit gradient damage models are employed to avoid the spurious mesh dependencies associated with local continuum damage models. The C 0 ‐continuity of traditional finite elements has hindered the study of higher order gradient damage approximations. In this contribution we use isogeometric finite elements, which allow for the construction of higher order continuous basis functions on complex domains. We study the suitability of isogeometric finite elements for the discretization of higher order gradient damage approximations. Copyright © 2011 John Wiley & Sons, Ltd.