In this paper the properties of eigenfunction expansion form (abbreviated as EEF) in the crack problems of plane elasticity and antiplane elasticity are discussed in details. After using the Betti's reciprocal theorem to the cracked body, several new path independent integrals are obtained. All the
Rock cutting study using linear elastic fracture mechanics
β Scribed by H Guo; N.I Aziz; L.C Schmidt
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 713 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0013-7944
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β¦ Synopsis
Ahatr&--The behaviour of cracks in rock due to drag bit cutting is modelled using fracture mechanics principles based on a displacement discontinuity method. A realistic representation of a stress singularity at a crack tip is achieved using a special crack tip element with r In displacement variation. The stress intensity factors are evaluated using a displacement correlation method. The ~rn~ tensile stress criterion is used for modelling crack behaviour in terms of the crack pro~tion path and the applied load. This modellmg technique is illustrated by a well known angled crack propagation problem in a tensile field. The rock crack propagation, which forms a major chip in the drag bit cutting process, is studied by the proposed technique. The influences of drag bit rake angle on the crack propagation path, the load requirement and the stability of propagation are discussed.
π SIMILAR VOLUMES
Eight finite element test cases were produced for two-dimensional linear elastic fracture mechanics benchmark tests. All the finite element meshes were constructed with eight noded quadratic elements and the crack tip elements were modelled with the appropriate stress singularity using collapsed eig