Probabilistic fracture analysis of functionally graded materials - Part II: Implementation and numerical examples

Tam H. Nguyen, Junho Song, Glaucio H. Paulino

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

Abstract

Probabilistic fracture analyses are performed for investigating uncertain fracture response of Functionally Graded Material (FGM) structures. The First-Order-Reliability-Method (FORM) is implemented into an existing Finite Element code for FGM (FE-FGM), which was previously developed at the University of Illinois at Urbana-Champaign [2]. The computational simulation will be used in order to estimate the probability of crack initiation with uncertainties in the material properties only. The two-step probability analysis method proposed in the companion paper (Part I, [1]) is illustrated by a numerical example of a composite strip with an edge crack. First, the reliability index of a crack initiation event is estimated as we vary the mean and standard deviation of the slope and the location of the inflection point of the spatial profile of Young's modulus. Secondly, the reliability index is estimated as we vary the standard deviation and the correlation length of the random field that characterize the random spatial fluctuation of Young's modulus. Also investigated is the relative importance of the uncertainties in the toughness compared to those in Young's modulus.

Original languageEnglish (US)
Title of host publicationMultiscale and Functionally Graded Materials - Proceedings of the International Conference, FGM IX
Pages159-164
Number of pages6
DOIs
StatePublished - 2008
Event9th International Conference on Multiscale and Functionally Graded Materials, FGM IX - Oahu Island, HI, United States
Duration: Oct 15 2006Oct 18 2006

Publication series

NameAIP Conference Proceedings
Volume973
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other9th International Conference on Multiscale and Functionally Graded Materials, FGM IX
Country/TerritoryUnited States
CityOahu Island, HI
Period10/15/0610/18/06

Keywords

  • Crack initiation
  • First-order reliability method
  • Fracture analysis
  • Fracture toughness
  • J-integral
  • Material uncertainty
  • Probabilistic analysis
  • Random field

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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