Constraints on microstructural two-point correlation functions

• DOI: 10.1016/j.scriptamat.2005.06.013
• Publication Date: 2005-07-21T16:40:07Z
• Authors: A.M. Gokhale; A. Tewari; H. Garmestani
• Keywords: 02 engineering and technology; 0210 nano-technology

Abstract Correlation functions are useful for representation of microstructural geometry. An equation is derived for limiting behavior of direction dependent two-point correlation functions in terms of orientation distribution of the interface normals and total interfacial area. These constraints are used to identify models for correlation functions that are not physically realizable.