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Analysis using higher-order XFEM: implicit representation of geometrical features from a given parametric representation

Moumnassi, M., Bordas, Stephane Pierre Alain, Figueredo, R. and Sansen, P. 2014. Analysis using higher-order XFEM: implicit representation of geometrical features from a given parametric representation. Mechanics & Industry 15 (5) , pp. 443-448. 10.1051/meca/2014033

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Abstract

We present a promising approach to reduce the difficulties associated with meshing complex curved domain boundaries for higher-order finite elements. In this work, higher-order XFEM analyses for strong discontinuity in the case of linear elasticity problems are presented. Curved implicit boundaries are approximated inside an unstructured coarse mesh by using parametric information extracted from the parametric representation (the most common in Computer Aided Design CAD). This approximation provides local graded sub-mesh (GSM) inside boundary elements (i.e. an element split by the curved boundary) which will be used for integration purpose. Sample geometries and numerical experiments illustrate the accuracy and robustness of the proposed approach.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Engineering
Subjects: T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords: Higher-order XFEM / curved boundary / parametric functions / implicit boundary representation / graded sub-mesh (GSM)
Publisher: EDP Sciences
ISSN: 2257-7777
Last Modified: 04 Jun 2017 09:15
URI: http://orca-mwe.cf.ac.uk/id/eprint/92602

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