Microstructure Control and Design

Template particles must possess a variety of properties for successful TGG (Kwon and Sabolsky, 2003). If mechanical forces are acting to align the seed particles, templates must have a high aspect ratio so they can be aligned during consolidation processes. Morphologically, most of these templates are platelets or whiskers, and the desired 

Thus far, the discussion has assumed that the materials engineer has a desired micro-stmcture in mind. But how is it known which microstructure is optimal for a given application Microstructure design is an emerging field that focuses on producing microstructures that meet, or exceed, specified macroscale properties or performance criteria. This requires a combination of empirical techniques, mathematical modeling, and numerical simulation. A complicating factor has always been the enormous number 

This equation represents the volume fraction of material possessing an orientation lying within invariant measure dh of the local state of interest h within an infinitesimal neighborhood of the material point at jc. Equation 2.11 can be described with a spectral basis using the simplest formulation as  

In quantifying the different possible microstmctures, it is important not only to consider the orientations of the constituent crystallites, but also their compositions, as well as other parameters. The complete set of feasible statistical distributions that describe the relevant details of the microstructure are termed the microstructure hull (each point in 

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Several approaches for enhancing the resistance to electromigration failure through microstructural control and design have been proposed. 

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