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

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

Research output: Contribution to journalArticle

133 Citations (Scopus)

Abstract

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
Volume158
DOIs
Publication statusPublished - 2016 Jun 1
Externally publishedYes

Fingerprint

Poisson equation
Crack propagation
Cracks
Void fraction
Limiters
Shielding

Keywords

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

ASJC Scopus subject areas

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

Cite this

Damage and fracture algorithm using the screened Poisson equation and local remeshing. / Areias, P.; Msekh, M. A.; Rabczuk, Timon.

In: Engineering Fracture Mechanics, Vol. 158, 01.06.2016, p. 116-143.

Research output: Contribution to journalArticle

Areias, P. ; Msekh, M. A. ; Rabczuk, Timon. / Damage and fracture algorithm using the screened Poisson equation and local remeshing. In: Engineering Fracture Mechanics. 2016 ; Vol. 158. pp. 116-143.
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