Abstract
The stress intensity factor is investigated for a long plane crack with one tip interacting with a strip of graded elastic properties. The material in the strip may have a non uniform modulus of elasticity but any variation of Poisson’s ratio is ignored. The crack length and the body dimensions are assumed to be large compared to the linear extent of the graded region. The crack tip, including the graded region, is assumed to be embedded in a remote square root singular stress field. A finite element method is used to obtain a near tip stress intensity factor. The analytical solution to the problem for an infinitesimally small deviation from a constant modulus of elasticity is communicated in brief. The analytical solution is shown to have a surprisingly wide range of validity. If an error of 5% is tolerated, the modulus of elasticity may decrease in the graded region with around 40% or increase with around 60%.
| Original language | English |
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| Title of host publication | Meso-Mechanical Aspects of Material Behavior |
| Editors | K Kishimoto, T Nakamura, A Kenji |
| Place of Publication | Japan |
| Publisher | University of Tokyo Press |
| Pages | 89-100 |
| Number of pages | 12 |
| Publication status | Published - Aug 2000 |
| Event | Simposium to honour Professor Aoki's 60th birthday - Yufuin, Oita, Japan Duration: 21 Aug 2000 → 23 Aug 2000 |
Conference
| Conference | Simposium to honour Professor Aoki's 60th birthday |
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| City | Yufuin, Oita, Japan |
| Period | 21/08/00 → 23/08/00 |
Keywords
- elastic material
- functionally graded material
- layered material
- crack growth
- stress intensity factor
- finite element method