General size effect on strength of bimaterial quasibrittle structures

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Abstract

This paper presents a general size effect equation for the strength of hybrid structures, which are made of two dissimilar quasibrittle materials with a thin and weak bimaterial interface. Depending on the material mismatch and structure geometry, a singular stress field could occur at the bimaterial corner. For structures with strong stress singularities, an energetic size effect is derived based on the equivalent linear elastic fracture mechanics and asymptotic matching. For structures without stress singularities, a finite weakest link model is adopted to derive the size effect. A general scaling equation that bridges the limits of strong and zero stress singularities is formulated by combining the energetic scaling of fracture of the bimaterial corner and the finite weakest link model.

Original languageEnglish (US)
Pages (from-to)151-160
Number of pages10
JournalInternational Journal of Fracture
Volume172
Issue number2
DOIs
StatePublished - Dec 2011

Keywords

  • Dissimilar materials
  • Hybrid structures
  • Quasibrittle materials
  • Scaling
  • Weakest link model
  • Weibull statistics

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