Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasi-brittle materials

James Yang, XT Su, JF Chen, GH Liu

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

A numerical method is developed to simulate complex two-dimensional crack propagation in quasi-brittle materials considering random heterogeneous fracture properties. Potential cracks are represented by pre-inserted cohesive elements with tension and shear softening constitutive laws modelled by spatially-varying Weibull random fields. Monte Carlo simulations of a concrete specimen under uni-axial tension were carried out with extensive investigation of the effects of important numerical algorithms and material properties on numerical efficiency and stability, crack propagation processes and load-carrying capacities. It was found that the homogeneous model led to incorrect crack patterns and load–displacement curves with strong mesh-dependence, whereas the heterogeneous model predicted realistic, complicated fracture processes and load-carrying capacity of little mesh-dependence. Increasing the variance of the tensile strength random fields with increased heterogeneity led to reduction in the mean peak load and increase in the standard deviation. The developed method provides a simple but effective tool for assessment of structural reliability and calculation of characteristic material strength for structural design.

Original languageEnglish
Pages (from-to)3222-3234
Number of pages13
JournalInternational Journal of Solids and Structures
Volume46
Issue number17
Early online date24 Apr 2009
DOIs
Publication statusPublished - 15 Aug 2009
Externally publishedYes

Fingerprint

load carrying capacity
brittle materials
Brittle Materials
crack propagation
Load limits
Brittleness
mesh
Crack propagation
Carrying Capacity
cracks
Monte Carlo Simulation
structural reliability
Crack Propagation
Cracks
Random Field
structural design
Crack
Structural design
Mesh
softening

Keywords

  • Cohesive elements
  • Monte Carlo simulation
  • Finite element method
  • Random heterogeneous fracture
  • Quasi-brittle materials

Cite this

Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasi-brittle materials. / Yang, James; Su, XT; Chen, JF; Liu, GH.

In: International Journal of Solids and Structures, Vol. 46, No. 17, 15.08.2009, p. 3222-3234.

Research output: Contribution to journalArticle

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AB - A numerical method is developed to simulate complex two-dimensional crack propagation in quasi-brittle materials considering random heterogeneous fracture properties. Potential cracks are represented by pre-inserted cohesive elements with tension and shear softening constitutive laws modelled by spatially-varying Weibull random fields. Monte Carlo simulations of a concrete specimen under uni-axial tension were carried out with extensive investigation of the effects of important numerical algorithms and material properties on numerical efficiency and stability, crack propagation processes and load-carrying capacities. It was found that the homogeneous model led to incorrect crack patterns and load–displacement curves with strong mesh-dependence, whereas the heterogeneous model predicted realistic, complicated fracture processes and load-carrying capacity of little mesh-dependence. Increasing the variance of the tensile strength random fields with increased heterogeneity led to reduction in the mean peak load and increase in the standard deviation. The developed method provides a simple but effective tool for assessment of structural reliability and calculation of characteristic material strength for structural design.

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