### Abstract

In the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced. A scalar damage parameter, a second order damage tensor, and a vectorial damage parameter are defined in terms of this distribution function. As an example of a constitutive quantity the free energy density is given as a function of the damage tensor. This equation is reduced in the uniaxial case to a function of the damage vector and in the case of a special geometry, to a function of the scalar damage parameter.

Original language | English |
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Pages (from-to) | 132-141 |

Number of pages | 10 |

Journal | Proceedings of the Estonian Academy of Sciences |

Volume | 57 |

Issue number | 3 |

DOIs | |

Publication status | Published - Oct 9 2008 |

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### Keywords

- Damage
- Damage mechanics
- Damage parameter
- Fabric-tensor
- Microcracks

### ASJC Scopus subject areas

- Engineering(all)