Constructing H-Convex Grain-Boundary Energy Functions Satisfying Herring's Stability Condition
A procedure for modeling grain-boundary energy as a function of boundary-plane inclination (at fixed misorientation) that guarantees Herring's interface-stability condition: interpolate the simulated energy data, then impose h-convexity (convexity of the 1/gamma-plot's hull). Energy cusps then emerge naturally from the data without any preset cusp locations or explicit cusp model, correcting global energy functions built on the Read-Shockley-Wolf cusp form that violate the stability condition.
On modeling global grain boundary energy functions A. Morawiec
This materials-science paper concerns how to model grain-boundary free energy as a continuous function of macroscopic boundary parameters (grain misorientation and boundary-plane inclination). Morawi…