On the singular stress field near the edge of bonded joints

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A stress singularity of the form Hrλ-1 develops at the corner where the interface between two bonded elastic solids intersects a traction-free edge. Here H is the intensity of the singularity, λ-1 is the order of the stress singularity and r is the radial distance from the interface corner. The intensity H of the singularity is evaluated for a butt joint consisting of a thin elastic layer sandwiched between two substrates and subjected to a uniform remote tension. The magnitude of H is determined using a combination of the finite element method (FEM) and a path-independent integral. The obtained values of H depend on the material elastic properties and on the magnitude of the applied loading. The results for H are compared with those obtained via the commonly used extrapolation method. The extent of the elastic singularity is determined as a function of the material elastic properties, and the implications of the results in developing an H-based free-edge failure initiation criterion are discussed.

Original languageEnglish
Pages (from-to)301-311
Number of pages11
JournalJournal of Strain Analysis for Engineering Design
Issue number4
Publication statusPublished - 1 Jan 1997


  • Bonded joints
  • FEM
  • Free-edge intensity factors
  • Stress singularity


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