Bubbles ruled by Surface Tension.

How to determine the shape of B-grain growing in the A-phase matrix? - the question came about when we were investigating the solid-solid phase transformations. When a new-phase grain grows in an old-phase matrix, the internal stresses develop. They are amplified significantly if an external deviatoric stress is present. They also vary depending on the grain-geometry.

We were estimating the magnitude of the transformational superplasticity of the creeping mantle material.

The critical parameter of the problem is the portion of an A-A border length relative to the total length of the contact line. I call it 'A-A border strength' - vertical axis in the picture. The percentage of B-grain area from the total area changes in horizontal dimension.