## Abstract

A method for approximating an upper bound to the Mode I stress intensity factor for a crack in a two-dimensional object containing unknown thermal or residual stresses is described. It uses eigenstrain analysis and constrained maximisation to find the self-equilibrating stress distribution which imparts the maximum stress intensity after introduction of a crack. As an example we calculate limits on the stress intensity at an edge crack in a plane strain bar for thermal and residual stress loading. It is shown that uniform yield-magnitude stress perpendicular to the crack plane does not necessarily give a bounding estimate of stress intensity.

Original language | English |
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Pages (from-to) | 226-240 |

Number of pages | 15 |

Journal | Engineering Fracture Mechanics |

Volume | 136 |

DOIs | |

Publication status | Published - 1 Mar 2015 |

## Keywords

- Residual stresses
- Stress intensity factor
- Structural integrity assessment
- Upper bound