Effect of void size difference on growth and cavitation instabilities

Numerical studies of void growth are carried out for an elastic-plastic material containing voids of different sizes. The analyses are based on an axisymmetric unit cell model, which allows for the representation of a number of voids with rather realistic shapes. Some quantitative information on the relative growth rates for different size voids is obtained here by studying a unit cell with two initially spherical voids. For a range of rather low stress triaxialities it is found that the relative growth rates of the two voids vary with the initial void volume fraction. For very high stress triaxialities, where cavitation instabilities might be expected, it is found that such instabilities actually occur if the void volume fraction is sufficiently low, and it is predicted that only one of the voids grows very large.

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