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- W2058710020 abstract "A theory of fracture transitions consistent with fracture mechanics is outlined. Transitions occur when a certain characteristic length attains a critical value: in linear elastic fracture mechanics this characteristic length is that of an inhomogeneous stress field, as for instance the radius of a notch. The critical length is proportional to a material factor E Gamma /Y2 (or (Kc/Y)2) where E, Gamma , Kc and Y are Young's modulus, fracture surface energy, critical stress intensity factor and yield stress in a uniaxial test. To a first approximation the constant of proportionality is characteristic of the test only, and ranges from approximately 102 in Hertzian indentation to approximately 10-1 in notched bar fracture. Two types of transition are considered: at the boundary between elastic and plastic-elastic conditions, when the yield criterion is just exceeded, and for fully plastic-elastic conditions when the plastic zone attains some limiting size imposed by the test. In the first case the characteristic length of the stress field is that of a specimen dimension, in the second the length of the plastic zone. The analysis therefore relates fracture transitions in different tests and materials to each other, and is illustrated by experimental data on indentation of polymethylmethacrylate and notched bar tests of silicon iron. A new fracture diagram is proposed." @default.
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- W2058710020 date "1980-12-14" @default.
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- W2058710020 title "The correlation of fracture transitions" @default.
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- W2058710020 doi "https://doi.org/10.1088/0022-3727/13/12/011" @default.
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