Question: A planar lamellar eutectic microstructure and a rod-like eutectic microstructure can have different total a/P surface areas, and thus different free energies for a given

A planar lamellar eutectic microstructure and a rod-like eutectic microstructure can have different total a/P surface areas, and thus different free energies for a given spacing A. (In the rod-like structure, A is the distance between the centers of the parallel rods.) Calculate the volume fraction of the B phase at which the lamellar-to-rod crossover might be expected (that is, at which the two structures have the same free energy.) Assume that the rods are parallel and arranged hexagonally (that is, two-dimensional close-packing). and that all interfaces have the same surface free energy Y

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