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[资源] 【资源】A texture-component Avrami model for predicting

A texture-component Avrami model for predicting recrystallization textures, kinetics and grain size

The study presents an analytical model for predicting crystallographic textures
and the ﬁnal grain size during primary static recrystallization of metals
using texture components. The kinetics is formulated as a matrix variant
of the Johnson–Mehl–Avrami–Kolmogorov equation. The matrix form is
required since the kinetic and crystallographic evolution of the microstructure
is described in terms of a limited set of growing (recrystallizing) and swept
(deformed) texture components. The number of components required (5–10)
deﬁnes the order of the matrix since the kinetic coupling occurs between all
recrystallizing and all deformed components. Each such couple is characterized
by corresponding values for the nucleation energy and grain boundarymobility.
The values of these parameters can be obtained by analytical or numerical
coarse graining according to a renormalization scheme which replaces many
individual grains which grow via recrystallization in a deformed texture
component by a single equivalent recrystallization texture component or by
ﬁtting to experimental data. Each deformed component is further characterized
by an average stored deformation energy. Each element of the kinetic
matrix, reﬂecting one of the possible couplings between a deformed and a
recrystallizing texture component, is then derived in each time step by a set of
two differential equations. The ﬁrst equation describes the thermally activated
nucleation and growth processes for the expanded (free) volume for a particular
couple of a deformed and a recrystallizing texture component and the second
equation is used for calculating the constrained (real) volume for that couple
which corrects the free volume for those portions of the deformation component
which were already swept. The new method is particularly developed for the
fast and physically based process simulation of recrystallization textures with respect to processing. The present paper introduces the method and applies it
to the primary recrystallization of low carbon steels.

http://d.namipan.com/d/1d35c159a ... 930cab3dcfc588c0600

http://d.namipan.com/d/1d35c159a ... 930cab3dcfc588c0600
http://d.namipan.com/d/1d35c159a14cf258acaede016e716930cab3dcfc588c0600

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