### Abstract

The J-vector theory is for the description of crack
growth in materials in general. The present formulation
of the J-vector theory is for rectilinear crack growth in
a two-dimensional solid, but it can be written for a
curvilinear case. The more general form of the J-vector
theory predicts the amount and the direction of crack
growth. Thus this new theory is an extension to the
J-integral concept. The fundamental idea of the J-vector
theory is the mathematical separation of the body Vb into
two different subdomains denoted by Wb(t) and Gb(t). The
subdomain Gb(t) encloses the crack tip and the fracture
process zone. It is imagined to be attached to the crack
tip and to move with the growing crack.

Original language | English |
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Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 100 |

ISBN (Electronic) | 951-38-5256-3 |

ISBN (Print) | 951-38-5255-5 |

Publication status | Published - 1998 |

MoE publication type | Not Eligible |

### Publication series

Series | VTT Publications |
---|---|

Number | 360 |

ISSN | 1235-0621 |

### Keywords

- cracking (fracturing)
- crack propagation
- mathematical models
- thermodynamics
- J integrals

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## Cite this

Santaoja, K. (1998).

*J-vector theory for simulation of rectilinear crack growth*. VTT Technical Research Centre of Finland. VTT Publications, No. 360