Abstract
The formation and growth of a crack in a body subjected to stress driven material dissolution is studied. The rate of material dissolution is proportional to strain energy and curvature of the body surface. The evolution of a crack from a plane surface is via a developed waviness of the surface. The continued dissolution makes waves grow to become pits. As a pit grows deeperinto the material it assumes the shape of a crack. The sharpness of the crack reaches its maximum during this transition from a pit to a crack. As the crack grows, a self-similar state is gradually assumed. During this phase characteristic lengths of the crack shape scale with the crack length. In line with this the crack is progressively blunting. The widest part of the crack when unloaded is in the vicinity of the crack tip. A consequence of the model is that no criterion is needed for crack growth. It also follows that crack growth rate is almost independent of the remote load. The crack grows with a nearly constant rate. Neither is a criterion needed for determination of the crack path. When a certain width is reached at the crack tip the crack spontaneously branches. Both branches grow with the same rate as the original crack. The width of the branches is around half of the width of the crack immediately before branching.
Original language | English |
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Title of host publication | Proceedings of the 2nd MRS-S Conference on Advanced Materials |
Editors | T Nakamura |
Place of Publication | Singapore |
Publisher | Materials Research Society |
Publication status | Published - 18 Jan 2006 |
Event | 2nd MRS-S Conference on Advanced Materials - Singapore Duration: 18 Jan 2006 → 20 Jan 2006 |
Conference
Conference | 2nd MRS-S Conference on Advanced Materials |
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City | Singapore |
Period | 18/01/06 → 20/01/06 |
Keywords
- Corrosion
- Crack Growth
- Crack Initiation
- Crack Path
- Branching