4.5 Article

Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment

Journal

INTERNATIONAL JOURNAL OF FRACTURE
Volume 204, Issue 1, Pages 55-78

Publisher

SPRINGER
DOI: 10.1007/s10704-016-0153-3

Keywords

Isogeometric analysis; NURBS; Linear elastic fracture; Boundary element method; Crack growth

Funding

  1. Framework Programme 7 Initial Training Network grant [289361]
  2. UK Engineering and Physical Science Research Council (EPSRC) [EP/G069352/1]
  3. EPSRC [EP/G042705/1]
  4. European Research Council Starting Independent Research Grant (ERC) [279578]
  5. Fondecyt [11130259]
  6. Engineering and Physical Sciences Research Council [EP/G069352/1, EP/G042705/1] Funding Source: researchfish
  7. EPSRC [EP/G069352/1, EP/G042705/1] Funding Source: UKRI

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We propose a method for simulating linear elastic crack growth through an isogeometric boundary element method directly from a CAD model and without any mesh generation. To capture the stress singularity around the crack tip, two methods are compared: (1) a graded knot insertion near crack tip; (2) partition of unity enrichment. A well-established CAD algorithm is adopted to generate smooth crack surfaces as the crack grows. The M integral and integral methods are used for the extraction of stress intensity factors (SIFs). The obtained SIFs and crack paths are compared with other numerical methods.

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