Second-Order Microstructure Sensitive Design Using 2-Point Spatial Correlations
In this chapter we are concerned with second-order interrelations between structure, properties, and processes of materials. Structure can be described in many different ways. The most common metrics of structure involve “first-order” (volume fraction) information: for example, the orientation distribution function. Such metrics serve well as the basis for property relations that do not depend significantly upon the geometrical placement of the material constituents. However, many properties (such as those relating to failure) depend critically upon the geometrical distribution of particular material components, and hence benefit enormously from knowledge of the “higher order” structure.
KeywordsRepresentative Volume Element Orientation Distribution Function Property Closure Stiffness Tensor Orientation Imaging Microscopy
SK and DF acknowledge financial support for this work from the Office of Naval Research, Award No. N000140510504 (Program Manager: Dr. Julie Christodoulou). BA acknowledges funding provided by ARO, David Stepp, Program Manager.
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