Abstract
The cracking of a brittle layer of elastic material due to differential straining has been investigated with a view to discovering what factors govern the pattern of the cracks produced by a given strain pattern. An analysis of the stress equations leads to the conclusion that two dimensionless parameters only are involved, the ratio of the applied strains to the breaking strain and the ratio of the crack spacing to the layer thickness: the shape of the curve relating these parameters is deduced by physical argument. Evidence in support of the analysis is obtained from the observed cracking of brittle beams when subjected to a uniform strain gradient by bending.
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