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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)

- Jean E. Taylor
- Proceedings of the National Academy of Sciences…
- 2002

A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies. Such questions are interesting for… (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)

- Jean E. Taylor
- Discrete & Computational Geometry
- 1991

This paper deals with a variational model applicable to small-deformation structural analysis expressed for linearly elastic-perfectly plastic (von Mises-Hubcr-Hencky) material. The model comprises a unification of the minimum complementary energy principal, the Haar-von Karman principle for deformation elastoplasticity, and (in a sense) the lower bound… (More)

- Jean E. Taylor
- Experimental Mathematics
- 1997

E ver since its founding in 1971, the Association for Women in Mathematics (AWM) has been a passionate organization with a mission: to encourage women to study and to have active careers in the mathematical sciences.1 Largely through the devotion and energy of a few overcommitted but determined individuals, especially its past presidents and officers, AWM… (More)

- Jean E. Taylor, Erin G. Teich, Pablo F. Damasceno, Yoav Kallus, Marjorie Senechal
- Symmetry
- 2017

Where are the atoms in complex crystals such as quasicrystals or periodic crystals with one hundred or more atoms per unit cell? How did they get there? The first of these questions has been gradually answered for many materials over the quarter-century since quasicrystals were discovered; in this paper we address the second. We briefly review a history of… (More)

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