Damage and fracture algorithm using the screened Poisson equation and local remeshing

P. Areias, M. A. Msekh, T. Rabczuk

Research output: Contribution to journalArticlepeer-review

247 Citations (Scopus)


We propose a crack propagation algorithm which is independent of particular constitutive laws and specific element technology. It consists of a localization limiter in the form of the screened Poisson equation with local mesh refinement. This combination allows the capturing of strain localization with good resolution, even in the absence of a sufficiently fine initial mesh. In addition, crack paths are implicitly defined from the localized region, circumventing the need for a specific direction criterion. Observed phenomena such as multiple crack growth and shielding emerge naturally from the algorithm. In contrast with alternative regularization algorithms, curved cracks are correctly represented. A staggered scheme for standard equilibrium and screened equations is used. Element subdivision is based on edge split operations using a given constitutive quantity (either damage or void fraction). To assess the robustness and accuracy of this algorithm, we use both quasi-brittle benchmarks and ductile tests.

Original languageEnglish
Pages (from-to)116-143
Number of pages28
JournalEngineering Fracture Mechanics
Publication statusPublished - 2016 Jun 1
Externally publishedYes


  • Crack nucleation and propagation
  • Element erosion
  • Local mesh refinement
  • Screened Poisson equation

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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