The kinetics of normal grain growth
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The relationship between the quasistationary distribution functions in normal grain growth and the corresponding grain-growth velocities is investigated. The restrictions imposed by volume conservation lead to a simple differential equation which describes quasistationary grain growth. This equation allows us to express the reduced growth velocity (dR/dt)/(dR*/dt), where R* is the scaling grain size, in terms of the corresponding distribution function and to express the distribution function by means of the reduced growth velocity. General conclusions about the shape of distribution functions can be drawn from these expressions.
KeywordsPolymer Grain Size Differential Equation Distribution Function Growth Velocity
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