Abstract
The ductility of materials with different distributions of voids is examined theoretically. The theory of Thomason [7] is used which assumes that the material deforms homogeneously until localized deformation between the voids intervenes. The fracture is expected to occur so rapidly after the onset of localized deformation that the transition from homogeneous to inhomogeneous deformation is used as a criterion for ductility. Upper bound solutions are used to derive a criterion for the fracture strain. Void size distributions with equal numbers of voids of two sizes are examined. It is also investigated how a distribution of inter void distances influences the ductility. The importance of small secondary voids in a distribution of large primary voids is studied. The effect of the shape of the voids is also considered. In all cases analytical expressions are derived for the fracture strain. The void distributions are centered on a plane orthogonal to the tensile axis and all voids are of rectangular shape.
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