## Abstract

The singular behavior near the crack tip at the interface between two power-law hardening materials is studied for the case of antiplane deformation. The stress-strain curves for both materials are approximated by segments that additively combine the perfectly plastic and linear elastic behaviors in such a way that within each segment the traction is continuous across the interface. The overall solution is obtained by summing a sufficiently large number of segments, leading to an integral representation. For power-law hardening materials with different hardening exponents, n_{1} and n_{2}, two asymptotic solutions are obtained. One is the near crack tip asymptotic solution, which shows that the interfacial stress singularity near the crack tip is - l/(n+1),where n = max (n_{1}, n_{2}). The other one is obtained under the condition that one material is much harder than the other material, and can be considered as a rigid body.

Original language | English (US) |
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Pages (from-to) | 183-194 |

Number of pages | 12 |

Journal | Journal of the Mechanics and Physics of Solids |

Volume | 38 |

Issue number | 2 |

DOIs | |

State | Published - 1990 |

## ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering