Abstract
We present a method to achieve smooth nodal stresses in the XFEM. The salient feature of the method is to introduce an ‘average’ gradient into the construction of the approximation. Due to the higher-order polynomial basis provided by the interpolants, the new approximation enhances the smoothness of the solution without requiring an increased number of degrees of freedom. We conclude from numerical tests that the proposed method tends to be an efficient alternative to the classical XFEM, bypassing any postprocessing step to obtain smooth nodal stress fields and providing a direct means to compute local stress error measures.
Original language | English |
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Pages (from-to) | 48-63 |
Number of pages | 16 |
Journal | Computers and Structures |
Volume | 179 |
DOIs | |
Publication status | Published - 15 Jan 2017 |
Externally published | Yes |
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An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. / Peng, X.; Kulasegaram, S.; Wu, S. C.; Bordas, S. P.A.
In: Computers and Structures, Vol. 179, 15.01.2017, p. 48-63.Research output: Contribution to journal › Article
TY - JOUR
T1 - An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress
AU - Peng, X.
AU - Kulasegaram, S.
AU - Wu, S. C.
AU - Bordas, S. P.A.
PY - 2017/1/15
Y1 - 2017/1/15
N2 - We present a method to achieve smooth nodal stresses in the XFEM. The salient feature of the method is to introduce an ‘average’ gradient into the construction of the approximation. Due to the higher-order polynomial basis provided by the interpolants, the new approximation enhances the smoothness of the solution without requiring an increased number of degrees of freedom. We conclude from numerical tests that the proposed method tends to be an efficient alternative to the classical XFEM, bypassing any postprocessing step to obtain smooth nodal stress fields and providing a direct means to compute local stress error measures.
AB - We present a method to achieve smooth nodal stresses in the XFEM. The salient feature of the method is to introduce an ‘average’ gradient into the construction of the approximation. Due to the higher-order polynomial basis provided by the interpolants, the new approximation enhances the smoothness of the solution without requiring an increased number of degrees of freedom. We conclude from numerical tests that the proposed method tends to be an efficient alternative to the classical XFEM, bypassing any postprocessing step to obtain smooth nodal stress fields and providing a direct means to compute local stress error measures.
KW - Crack propagation
KW - Double-interpolation approximation
KW - Extended finite element method
KW - Higher-order element
KW - Smooth nodal stress
UR - http://www.scopus.com/inward/record.url?scp=84995578401&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2016.10.014
DO - 10.1016/j.compstruc.2016.10.014
M3 - Article
VL - 179
SP - 48
EP - 63
JO - Computers & Structures
JF - Computers & Structures
SN - 0045-7949
ER -