β Scribed by J.C.M. Li
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variation in the deformation crystallographic texture. Thus, alloy systems in which variations in deformation texture (from the pure metal type to the brass type) can be produced appear to yield k values with much greater variation than systems in which little or no texture variations are possible. This hypothesis is being tested on a copper base alloy system in which quite strong pure metal and brass textures can both be produoed by variation in the initial treatment of the metal.
In short, we feel that the real utility of an Avrami analysis is in terms of the relative comparisons that can be made of the structural states of alloy systems. The softening processes in most systems are much too complex to hope for simple model solutions to hold with significance. There are many observations that grain growth proceeds as a jerky motion. This means that only parts of the boundary of a single grain move at a time. Inhomogeneities in defect structure, distribution of impurities, and texture anisotropy may be partly responsible for this kind of jerky motion. Under these conditions, the model of continuous grain growth, introduced by Avrami, may not be relevant anymore. It may then be plausible that lower values of k can be obtained although the recrystallized grains extend in all three dimensions during the primary recrystallization period.
π SIMILAR VOLUMES
A simpli"ed simulation for developing laminar forced #ow in the entrance region between two parallel plates is presented. This simulation is based on an implicit "nite di!erence numerical representation of a boundary layer model describing the #ow in the entry region. This boundary layer model compr