Abstract
Finite element techniques have been used to calculate the relative Young's modulus, relative Poisson's ratio and the stress concentration factor for plates perforated with cusp-shaped holes. The cusps, aligned so that a) the points of the cusps were parallel to the axes of the system and b) the points were at 45° to the axes, were arranged in rectangular and diagonal arrays. The results show similarities of form between many of the results for the cusps and for the equivalent results for circular holes. The feature common to these voids is the shape of the void perimeter in the region of the maximum stress concentration factor. The proportion of material in the lee of the holes is similar for these different shapes. The importance of the parallel ligament efficiency when comparing the properties of porous bodies is pointed out. No simple shape seems able to reproduce a close fit over the whole range of the volume fraction of pores for which experimental data is available.
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