### Abstract

Rectilinear crack growth in hyperelastic materials is
considered. The crack growth process is studied by using
the well-known law of continuum mechanics; the law of
kinetic energy. The key concept of the derivation is the
separation of the volume of the body into two different
parts denoted by omega and gamma. The latter region
encloses the
crack tip and it is imagined to be attached to the crack
tip and therefore moving through the body with growing
crack. By this procedure a line-integral called here as
the J-vector is derived. It is an extension to the
well-known J-integral. In contrast to the J-integral the
J-vector is associated with crack growth. The quasi-static
part of the J-vector is shown to be path-independent. A
simple model for crack growth is introduced. A
relationship between the potential energy and the J-vector
is derived. It has the same form as was proposed for the
relation between the potential energy and the J-integral
which is often used in the verification of the J-integral
for the simulation of crack growth. This interpretation
is strongly criticised.

Original language | English |
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Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 96 |

ISBN (Print) | 951-38-4933-3 |

Publication status | Published - 1996 |

MoE publication type | Not Eligible |

### Publication series

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

Number | 275 |

ISSN | 1235-0621 |

### Keywords

- fracture mechanics
- crack growth
- potential energy
- stress intensity factor
- J-integral
- path-independency

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## Cite this

Santaoja, K. (1996).

*Rectilinear crack growth in hyperelastic materials*. VTT Technical Research Centre of Finland. VTT Publications, No. 275