Modelling of Weibull distributions in brittle solids using 2-dimensional peridynamics

L.D. Jones, L.J. Vandeperre, T.A. Haynes, M.R. Wenman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Peridynamics is a continuum mechanics modelling method, which offers advantages over traditional continuum methods when modelling brittle fracture. Brittle fracture typically follows a Weibull fracture distribution, but this behaviour is not well represented in bond-based peridynamics using a single valued bond failure stretch. In order to recreate specific Weibull-type behaviour in bond-based peridynamics, consideration must be given to scaling the distribution to account for the size of peridynamics bonds. Care must also be taken to avoid (wherever possible) non-physical crack arrest, caused by the variations in fracture toughness in the model, distorting the distributions. In this work a method for recreating a variety of Weibull distributions is outlined, based on applying Weibull-type bond behaviour only to surface bonds, including a transition zone across one horizon. The method is shown to be insensitive to variations in mesh refinement.
Original languageEnglish
Title of host publicationProcedia Structural Integrity
PublisherElsevier
Pages1856-1874
Number of pages19
Volume28
DOIs
Publication statusPublished - 2020

Publication series

NameProcedia Structural Integrity

Keywords

  • Brittle fracture
  • Non-local modelling
  • Peridynamics
  • Weibull

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