## Abstract

This paper addresses the analytical solution of the mixed-mode bending (MMB) problem. The first published solutions used a load separation in pure mode I and mode II and were applied for a crack length less than the beam half-span, a <= L. In later publications, the same mode separation was used in deriving the analytical solution for crack lengths bigger than the beam half-span, a > L. In this paper it is shown that this mode separation is not valid when a > L and in some cases may lead to very erroneous results. The correct mode separation and the corresponding analytical solutions, when a > L, are presented. Results, of force vs. displacement and force vs. crack length graphs, obtained using the existing formulation and the corrected formulation are compared. A finite element solution, which does not use mode separation, is also presented

Original language | English |
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Pages (from-to) | 662-668 |

Number of pages | 7 |

Journal | Composites Science and Technology |

Volume | 67 |

Issue number | 3-4 |

Early online date | 11 Jul 2006 |

DOIs | |

Publication status | Published - Mar 2007 |

## ASJC Scopus subject areas

- Engineering(all)
- Ceramics and Composites