Jean E. Taylor

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We postulate that almost any motion of an interface between two crystals can produce a coupled tangential motion of the two crystals relative to each other which is proportional to the normal motion of the interface. Such translations can produce grain rotations ; the special case of the rotations of shrinking included circular cylindrical grains which(More)
We use an expanded variational approach based on dissipation to study the motion of the boundary of a non-circular cylindrical, and thus essentially 2-dimensional, crystalline grain of arbitrary cross-section enclosed in another grain of the same material under conditions where the normal grain boundary motion is coupled to relative tangential motion of the(More)
Four challenges to mathematics research posed by the field of materials science are given, plus an additional challenge purely from the field of geometric measure theory. The problems all concern the effects of surface and grain boundary free energy: motion by weighted mean curvature and/or surface diffusion and/or other kinetics, proofs of minimality of(More)
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