期刊
COMPUTERS & STRUCTURES
卷 179, 期 -, 页码 48-63出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2016.10.014
关键词
Double-interpolation approximation; Higher-order element; Smooth nodal stress; Extended finite element method; Crack propagation
资金
- Framework Programme 7 Initial Training Network Funding [289361]
- UK Engineering and Physical Science Research Council (EPSRC) [EP/G069352/1]
- EPSRC [EP/G042705/1]
- European Research Council Starting Independent Research Grant (ERC Stg grant) [279578]
- National Natural Science Foundation of China [11572267]
- Self developed Research Project of the State Key Lab. of Traction Power [2015TPL_T07]
- EPSRC [EP/G042705/1] Funding Source: UKRI
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. (C) 2016 Elsevier Ltd. All rights reserved.
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