JP Journal of Solids and Structures
Volume 1, Issue 2, Pages 93 - 124
(July 2007)
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THE ROLE OF ASYMPTOTIC CRACK TIP FIELDS IN LINEAR AND COHESIVE MATERIALS
B. L. Karihaloo (U.K.) and Q. Z. Xiao (U.K.)
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Abstract:
The famous Griffith and Irwin criteria predict the onset of fracture in structures. They have to be supplemented by appropriate criteria for predicting the path that the fracture will follow until the failure of the structure. These require the knowledge of the stress and displacement fields at the front of propagating fracture which depend on the actual loading on the structure and its boundary conditions. In this paper we shall review these fields in brittle and cohesive materials. In the latter materials, a traction-free fracture front often has a large process zone ahead of it in which the material experiences progressive softening. Such a mixed traction-free crack and process zone is also called a cohesive crack. Over the process zone the material is able to transfer some traction across the crack faces depending upon how much the faces have separated or slid relative to each other. The asymptotic fields at the front of a crack in brittle materials were obtained by Williams [28] and those for cohesive cracks by Xiao and Karihaloo [29]. |
| Keywords and phrases: asymptotic stress and displacement fields, cohesive cracks, general cohesion-separation law, Coulomb friction. |
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