Computational Mechanics

, Volume 54, Issue 6, pp 1431–1446 | Cite as

NURBS distance fields for extremely curved cracks

Original Paper

Abstract

This paper proposes for the first time an intrinsic enrichment for extremely curved cracks in a meshfree framework. The unique property of the proposed method lies in the exact geometric representation of cracks using non-uniform rational B-splines (NURBS). A distance function algorithm for NURBS is presented, resulting in a spatial field which is simultaneously discontinuous over the (finite) curved crack and continuous all around the crack tips. Numerical examples show the potential of the proposed approach and illustrate its advantages with respect to other techniques usually employed to model fracture, including standard finite elements with remeshing and the extended finite element method. This work represents a further step in an ongoing effort in the community to integrate computer aided design with numerical simulations.

Keywords

Cracks NURBS Enrichments Distance fields  Patterns 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.College of EngineeringSwansea UniversitySwanseaUK
  2. 2.School of Engineering and Materials ScienceQueen Mary University of LondonLondonUK

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