Abstract
The influence of grain size distribution on the stress-strain rate behavior of superplastic metals has been investigated for steady-state as well as transient loading situations. The model, which considers a distribution of internal stresses based on grain size distribution, is a detailed development of one presented elsewhere [1]. Deformation is assumed to occur by a combination of grain- boundary creep (sliding accommodated by diffusion) and power law creep, constrained by equal strain rate in all grains during steady state. The analytical results of the model based on realistic grain size distributions simulate steady-state behavior, as well as loading and load relaxation behaviors of superplastic aluminum and titanium alloys. Several other features of material response are also explained.
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