### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Keywords

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

### Cite this

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

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

**Rectilinear crack growth in hyperelastic materials.** / Santaoja, Kari.

Research output: Book/Report › Report

TY - BOOK

T1 - Rectilinear crack growth in hyperelastic materials

AU - Santaoja, Kari

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - fracture mechanics

KW - crack growth

KW - potential energy

KW - stress intensity factor

KW - J-integral

KW - path-independency

M3 - Report

SN - 951-38-4933-3

T3 - VTT Publications

BT - Rectilinear crack growth in hyperelastic materials

PB - VTT Technical Research Centre of Finland

CY - Espoo

ER -