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X-FEM in isogeometric analysis for linear fracture mechanics

De Luycker, Emmanuel and Benson, David J. and Belytschko, Ted and Bazilevs, Yuri and Hsu, Ming Chen X-FEM in isogeometric analysis for linear fracture mechanics. (2011) International Journal for Numerical Methods in Engineering, 87 (6). 541-565. ISSN 1097-0207

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.3121/full

Abstract

The extended finite element method (X-FEM) has proven to be an accurate, robust method for solving problems in fracture mechanics. X-FEM has typically been used with elements using linear basis functions, although some work has been performed using quadratics. In the current work, the X-FEM formulation is incorporated into isogeometric analysis to obtain solutions with higher order convergence rates for problems in linear fracture mechanics. In comparison with X-FEM with conventional finite elements of equal degree, the NURBS-based isogeometric analysis gives equal asymptotic convergence rates and equal accuracy with fewer degrees of freedom (DOF). Results for linear through quartic NURBS basis functions are presented for a multiplicity of one or a multiplicity equal the degree.

Item Type:Article
Additional Information:Thanks to John Wiley & Sons Ltd editor. The definitive version is available at : http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207
HAL Id:hal-01657905
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Northwestern University (USA)
Other partners > University of California - UC San Diego (USA)
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Deposited On:15 Nov 2017 13:29

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