### Abstract

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

Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 77 |

ISBN (Print) | 951-38-4078-6 |

Publication status | Published - 1992 |

MoE publication type | Not Eligible |

### Publication series

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

Number | 100 |

ISSN | 1235-0621 |

### Fingerprint

### Keywords

- theories
- mathematical models
- fracture mechanics
- cracking (fracturing)
- crack propagation
- crack initiation
- momentum
- kinetic energy
- potential energy
- continuum mechanics
- singular integral equations
- integral equations
- Griffith crack

### Cite this

*Some remarks upon fracture mechanics*. Espoo: VTT Technical Research Centre of Finland. VTT Publications, No. 100

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*Some remarks upon fracture mechanics*. VTT Publications, no. 100, VTT Technical Research Centre of Finland, Espoo.

**Some remarks upon fracture mechanics.** / Santaoja, Kari.

Research output: Book/Report › Report

TY - BOOK

T1 - Some remarks upon fracture mechanics

AU - Santaoja, Kari

N1 - Project code: MET900241

PY - 1992

Y1 - 1992

N2 - This work studies the basics of fracture mechanics. The theory proposed by Griffith is derived starting from the examination of the momentum and moment of momentum principles. A condition for crack growth is formulated. This equation also contains the influence of kinetic energy and continuum dissipation. The condition is expressed in the rate form i.e. it describes the response of a continuum in the case of a running crack. In the special case, the derived condition reduces to that proposed by Griffith. The present investigation derives 7 sufficient conditions for the path independency of the J-integral. The mathematical treatment of unbounded functions (due to the crack tip) is also considered, This study examines the relation between the J-integral and the potential energy. The present work brings out a new result: If a pure elastic deformation and crack tip singularity is assumed a previously not derived term has to be added to the above mentioned relationship. A computed example which studies the mode I of cracking and assumes a linear elastic, isotropic material behaviour shows that the value of this new term equals that of the J-integral.

AB - This work studies the basics of fracture mechanics. The theory proposed by Griffith is derived starting from the examination of the momentum and moment of momentum principles. A condition for crack growth is formulated. This equation also contains the influence of kinetic energy and continuum dissipation. The condition is expressed in the rate form i.e. it describes the response of a continuum in the case of a running crack. In the special case, the derived condition reduces to that proposed by Griffith. The present investigation derives 7 sufficient conditions for the path independency of the J-integral. The mathematical treatment of unbounded functions (due to the crack tip) is also considered, This study examines the relation between the J-integral and the potential energy. The present work brings out a new result: If a pure elastic deformation and crack tip singularity is assumed a previously not derived term has to be added to the above mentioned relationship. A computed example which studies the mode I of cracking and assumes a linear elastic, isotropic material behaviour shows that the value of this new term equals that of the J-integral.

KW - theories

KW - mathematical models

KW - fracture mechanics

KW - cracking (fracturing)

KW - crack propagation

KW - crack initiation

KW - momentum

KW - kinetic energy

KW - potential energy

KW - continuum mechanics

KW - singular integral equations

KW - integral equations

KW - Griffith crack

M3 - Report

SN - 951-38-4078-6

T3 - VTT Publications

BT - Some remarks upon fracture mechanics

PB - VTT Technical Research Centre of Finland

CY - Espoo

ER -