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Cohesive fracture analysis using Powell-Sabin B-splines.

Lin Chen1, René de Borst1

  • 1Department of Civil and Structural Engineering University of Sheffield Sheffield UK.

International Journal for Numerical and Analytical Methods in Geomechanics
|March 5, 2019
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Summary
This summary is machine-generated.

This study introduces Powell-Sabin B-splines for cohesive crack propagation modeling, enabling accurate simulation without predefined interfaces. The novel approach simplifies crack tracking in the physical domain, overcoming limitations of traditional isogeometric analysis.

Keywords:
Bézier extractionPowell‐Sabin B‐splinescohesive zone modelfracture

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Area of Science:

  • Computational mechanics
  • Materials science
  • Solid mechanics

Background:

  • Isogeometric analysis (IGA) faces limitations in discrete crack analysis due to mesh alignment requirements.
  • Cracks in IGA are typically introduced in the parameter domain, restricting flexibility.
  • Modeling cohesive crack propagation necessitates robust methods that avoid predefined interface assumptions.

Purpose of the Study:

  • To present a novel method for cohesive crack propagation modeling using Powell-Sabin B-splines.
  • To overcome the limitations of isogeometric analysis in discrete crack modeling.
  • To enable direct crack introduction and tracking in the physical domain.

Main Methods:

  • Utilizing Powell-Sabin B-splines, which are based on triangles, for cohesive crack modeling.
  • Introducing cracks directly in the physical domain, circumventing parameter domain limitations.
  • Employing Bézier extraction for straightforward implementation in existing finite element programs.

Main Results:

  • The proposed method effectively models cohesive crack propagation without requiring a predefined interface.
  • Remeshing and tracking cracks in the physical domain are simplified due to the triangular basis of the splines.
  • Numerical examples, including an L-shaped beam and a tension-shear test, demonstrate the accuracy of the approach.

Conclusions:

  • Powell-Sabin B-splines offer a flexible and accurate alternative for modeling cohesive crack propagation.
  • The method enhances discrete crack analysis by allowing direct physical domain crack representation.
  • The approach is readily implementable in standard finite element software.