Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading

H. Ferdjani, R. Abdelmoula, J. J. Marigo, Sami El-Borgi

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The main objective of this work is to prove that, with the Dugdale model, the small size defects, comparatively to the material characteristic length, are practically without influence on the limit load of structures. For that, we treat the case of a crack in a semi-infinite plane under anti-plane shear loading. Using integral transforms, the elasticity equations are converted analytically into a singular integral equation. The singular integral equation is solved numerically using Chebychev polynomials. Special care is needed to take into account the presence of jump discontinuities in the loading distribution along the crack lips.

Original languageEnglish
Pages (from-to)41-55
Number of pages15
JournalContinuum Mechanics and Thermodynamics
Volume21
Issue number1
DOIs
Publication statusPublished - Jun 2009
Externally publishedYes

Fingerprint

singular integral equations
Integral equations
cracks
shear
Cracks
integral transformations
Load limits
Elasticity
discontinuity
polynomials
elastic properties
Polynomials
Defects
defects

Keywords

  • Chebychev polynomials
  • Dugdale's model
  • Fracture
  • Singular integral equation
  • Size effects

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Physics and Astronomy(all)

Cite this

Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading. / Ferdjani, H.; Abdelmoula, R.; Marigo, J. J.; El-Borgi, Sami.

In: Continuum Mechanics and Thermodynamics, Vol. 21, No. 1, 06.2009, p. 41-55.

Research output: Contribution to journalArticle

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