## Abstract

A stress singularity of the form Hr^{λ-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 language | English |
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Pages (from-to) | 301-311 |

Number of pages | 11 |

Journal | Journal of Strain Analysis for Engineering Design |

Volume | 32 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Jan 1997 |

## Keywords

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