Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation

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

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

In this paper, we propose a simple 2D and 3D crack evolution algorithm which avoids the variable/DOF mapping within mesh adaptation algorithms. To this end, a new area/volume minimization algorithm for damaged elements is introduced with the goal of improving the crack path representation. In addition, the new algorithm consists of: (i) mesh-creation stage where a damage model is employed to drive the remeshing procedure (ii) a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation. This is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered algorithm for equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations in 2D and 3D using the damage variable. Both 2D and 3D operations are described in detail. With the objective of assessing the robustness and accuracy of the algorithm, we test its capabilities by means of four quasi-brittle benchmark applications.

Original languageEnglish
JournalEngineering Fracture Mechanics
DOIs
Publication statusAccepted/In press - 2017 Jan 1
Externally publishedYes

Fingerprint

Poisson equation
Crack propagation
Cracks
Limiters

Keywords

  • 3D fracture
  • Computational fracture
  • Mesh contraction
  • Mesh refinement
  • Quasi-brittle material
  • Smeared model

ASJC Scopus subject areas

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

Cite this

Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation. / Areias, P.; Reinoso, J.; Camanho, P. P.; César de Sá, J.; Rabczuk, Timon.

In: Engineering Fracture Mechanics, 01.01.2017.

Research output: Contribution to journalArticle

Areias, P. ; Reinoso, J. ; Camanho, P. P. ; César de Sá, J. ; Rabczuk, Timon. / Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation. In: Engineering Fracture Mechanics. 2017.
@article{96a4c6a840794667b249babcd231cfa9,
title = "Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation",
abstract = "In this paper, we propose a simple 2D and 3D crack evolution algorithm which avoids the variable/DOF mapping within mesh adaptation algorithms. To this end, a new area/volume minimization algorithm for damaged elements is introduced with the goal of improving the crack path representation. In addition, the new algorithm consists of: (i) mesh-creation stage where a damage model is employed to drive the remeshing procedure (ii) a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation. This is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered algorithm for equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations in 2D and 3D using the damage variable. Both 2D and 3D operations are described in detail. With the objective of assessing the robustness and accuracy of the algorithm, we test its capabilities by means of four quasi-brittle benchmark applications.",
keywords = "3D fracture, Computational fracture, Mesh contraction, Mesh refinement, Quasi-brittle material, Smeared model",
author = "P. Areias and J. Reinoso and Camanho, {P. P.} and {C{\'e}sar de S{\'a}}, J. and Timon Rabczuk",
year = "2017",
month = "1",
day = "1",
doi = "10.1016/j.engfracmech.2017.11.017",
language = "English",
journal = "Engineering Fracture Mechanics",
issn = "0013-7944",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation

AU - Areias, P.

AU - Reinoso, J.

AU - Camanho, P. P.

AU - César de Sá, J.

AU - Rabczuk, Timon

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this paper, we propose a simple 2D and 3D crack evolution algorithm which avoids the variable/DOF mapping within mesh adaptation algorithms. To this end, a new area/volume minimization algorithm for damaged elements is introduced with the goal of improving the crack path representation. In addition, the new algorithm consists of: (i) mesh-creation stage where a damage model is employed to drive the remeshing procedure (ii) a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation. This is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered algorithm for equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations in 2D and 3D using the damage variable. Both 2D and 3D operations are described in detail. With the objective of assessing the robustness and accuracy of the algorithm, we test its capabilities by means of four quasi-brittle benchmark applications.

AB - In this paper, we propose a simple 2D and 3D crack evolution algorithm which avoids the variable/DOF mapping within mesh adaptation algorithms. To this end, a new area/volume minimization algorithm for damaged elements is introduced with the goal of improving the crack path representation. In addition, the new algorithm consists of: (i) mesh-creation stage where a damage model is employed to drive the remeshing procedure (ii) a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation. This is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered algorithm for equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations in 2D and 3D using the damage variable. Both 2D and 3D operations are described in detail. With the objective of assessing the robustness and accuracy of the algorithm, we test its capabilities by means of four quasi-brittle benchmark applications.

KW - 3D fracture

KW - Computational fracture

KW - Mesh contraction

KW - Mesh refinement

KW - Quasi-brittle material

KW - Smeared model

UR - http://www.scopus.com/inward/record.url?scp=85035064943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035064943&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2017.11.017

DO - 10.1016/j.engfracmech.2017.11.017

M3 - Article

AN - SCOPUS:85035064943

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

ER -