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- W2023771623 abstract "A model of a craze at the tip of a uniformly extending crack is developed which permits the calculation of the stress distribution in the craze. In accord with experimental observations by Kramer11 the craze is modelled as a collection of independent fibrils that draw from the substrate by a process akin to the drawing of textile fibres with necking. Except at the very tip of the craze where complex yielding type phenomena occur, the stress in the craze is taken to correspond to the drawing stress. The craze stress is treated as the cohesive crack closing stresses in the Barenblatt treatment of crack tips. The principal fact used in the development is that the drawing stress depends upon the rate of draw and hence upon the slope of the craze displacement. This leads to a non-linear integral equation for the craze stress. Using an empirical relation between drawing stresses and rate of draw, this equation is solved for the stress distribution in the craze by numerical methods. The distribution shows peaks at the craze tip and at the crack tip as observed in some experiments. The magnitude of the peaks depends upon the materials parameters used. For certain values of these parameters, the constant stress Dugdale model yields a good approximation to the displacement profile." @default.
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- W2023771623 date "1984-12-01" @default.
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- W2023771623 title "Distribution of stress in a craze of the tip of a uniformly extending crack" @default.
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- W2023771623 doi "https://doi.org/10.1016/0032-3861(84)90244-1" @default.
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