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On crack path stability in a layered material | |
Gunnars J; Stahle P; Wang ZQ(王自强)![]() | |
Source Publication | Computational Mechanics
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1997 | |
Volume | 19Issue:6Pages:545-552 |
ISSN | 0178-7675 |
Abstract | Crack paths in an elastic layer on top of a substrate are considered. Crack growth is initiated from an edge crack in the layer. The plane of the initially straight crack forms an angle to the free surface. The load consists of a pair of forces applied at the crack mouth and parallel to the interface. Crack paths are calculated using a boundary element method. Crack growth is assumed to proceed along a path for which the mode II stress intensity factor vanishes. The inclination and the length of the initial crack are varied. The effect of two different substrates on the crack path evolution is demonstrated. A crack path initially leading perpendicularly to the interface is shown to be directionally unstable for a rigid substrate. Irrespective of its initial angle, the crack does not reach the interface, but reaches the free surface if the layer is infinitely long. At finite layer length the crack reaches the upper free surface if the initial crack inclination to the surface is small enough. For an inextendable flexible substrate, on the other hand, the crack reaches the interface if its initial inclination is large enough. For the flexible substrate an unstable path parallel with the sides of an infinitely long layer is identified. The results are compared with experimental results and discussed in view of characterisation of directionally unstable crack paths. The energy release rate for an inclined edge crack is determined analytically. |
Keyword | Directional Stability Fracture |
DOI | 10.1007/s004660050207 |
Indexed By | SCI |
Language | 英语 |
WOS ID | WOS:A1997XE84700017 |
WOS Keyword | DIRECTIONAL STABILITY ; FRACTURE |
WOS Research Area | Mathematics ; Mechanics |
WOS Subject | Mathematics, Interdisciplinary Applications ; Mechanics |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/39020 |
Collection | 力学所知识产出(1956-2008) |
Corresponding Author | Gunnars, J (reprint author), LULEA UNIV TECHNOL,DIV SOLID MECH,LULEA,SWEDEN. |
Recommended Citation GB/T 7714 | Gunnars J,Stahle P,Wang ZQ,et al. On crack path stability in a layered material[J]. Computational Mechanics,1997,19,6,:545-552. |
APA | Gunnars J,Stahle P,王自强,&Gunnars, J .(1997).On crack path stability in a layered material.Computational Mechanics,19(6),545-552. |
MLA | Gunnars J,et al."On crack path stability in a layered material".Computational Mechanics 19.6(1997):545-552. |
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