# ps_4 - 1 mm is to be be made from spherical powder...

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Problem Set 4 E-344 Due: Tuesday, 14 February, 2006 Spring 2006 at beginning of lecture 1. On the same graph, SKETCH a plot of lnY vs 1/T and lnZ vs 1/T where Y(T) and Z(T) are given by the following expressions. Identify the slope and intercept of each line. Which of these two expressions could be used to model the temperature dependence of viscosity? Briefly explain. Y = Y(T) = Y o exp [E y /k B T] and Z = Z(T) = Z o exp[-E z /k B T] 2. Powder processing is often used to make ceramic parts. These, however, often contain significant amounts of porosity which can affect many important properties of the resulting ceramic piece. Imagine that a spherical ball bearing with an initial diameter of
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Unformatted text preview: 1 mm is to be be made from spherical powder particles each with a diameter of 10 μ m. Estimate the volume fraction of porosity in the powder ball-bearing specimen prior to any compaction and sintering. State any assumptions. Then, assuming a fully dense piece after compaction and sintering, calculate the percent shrinkage experienced along the ball bearing diameter assuming isotropic shrinkage. Briefy list some advantages and disadvantages for using a ceramic ball bearing in place of a metal ball bearing. Problem 4.6 glass transition temperature Problem 4.8 glass viscosity Problem 4.13 Silicon/silica band gap....
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