A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement

P. Areias, Timon Rabczuk, J. César de Sá

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved.

Original languageEnglish
Pages (from-to)1003-1018
Number of pages16
JournalComputational Mechanics
Volume58
Issue number6
DOIs
Publication statusPublished - 2016 Dec 1
Externally publishedYes

Fingerprint

Local Refinement
Mesh Refinement
Poisson equation
Poisson's equation
Crack
Cracks
Damage
Mesh
Mesh Adaptation
Limiter
Alternatives
Limiters
Crack Propagation
Modified Equations
Subdivision
Crack propagation
Benchmark
Robustness
Path
Model

Keywords

  • Crack nucleation and propagation
  • Local mesh refinement
  • Quasi-brittle fracture
  • Smeared model
  • Two-stage algorithm

ASJC Scopus subject areas

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

Cite this

A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement. / Areias, P.; Rabczuk, Timon; de Sá, J. César.

In: Computational Mechanics, Vol. 58, No. 6, 01.12.2016, p. 1003-1018.

Research output: Contribution to journalArticle

Areias, P. ; Rabczuk, Timon ; de Sá, J. César. / A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement. In: Computational Mechanics. 2016 ; Vol. 58, No. 6. pp. 1003-1018.
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