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The paper considers a fracture model consisting of an infinite row of collinear cracks formed as a result of plastic flow. Bullough-Gilman and Zener-Stroh type cracks are studied using an energy criterion. The results are compared with those for an isolated crack derived by Bullough. Numerical calculations in a first approximation shows good agreement with the experimental orientation dependence of the fracture stress of zinc single crystals by lleruyttere and Greenough.

The effect of non-uniformly applied stress distribution upon the stress concentration of piled-up dislocations was studied(1) in the case of linear or straight stress gradient. The result shows that the concentrated stress is determined by the averaged stress over the slip plane, independent of the maximum stress value of the applied stress distribution. In this note, we now consider a more general type of non-uniformly applied stress field.