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Finite Approximations To The Second-Order Properties Closure In Single Phase Polycrystals, Brent L. Adams, Xiang Gao, Surya R. Kalidindi

Faculty Publications

This work was supported at Brigham Young University and Drexel University by a grant from the US Army Research Office, through the Metallurgy Program headed by Dr. David Stepp. Extension of the first-order theory of microstructure design to considerations of morphological texture is addressed in this paper. The main challenges include the r-interdependence of the 2-point correlation functions of lattice orientation, construction of the corresponding microstructure hull, and its corresponding properties closure(s). It is shown that the correlation functions can be expressed in terms of an intermediate construct, called the texture function; the correlation functions have quadratic dependence in the …