Mathematics of Microstructure Evolution: This Symposium was Held During Materials Week '95, October 29-November 2, 1995 in Cleveland, OhioLong-Qing Chen Materials science is a growth area for mathematics in the United States. This volume unites mathematicians, computer scientists, physicists and material scientists in a comprehensive presentation of empirical material on microstructure evolution. The book's tutorial presentation of modern mathematical methods should make it a useful reference for materials scientists. |
Contents
THE SIMULATION OF TWODIMENSIONAL GRAIN | 15 |
EDGEENERGY MINIMIZING SURFACES 233 | 23 |
ZENER PINNING OF NORMAL GRAIN GROWTH | 31 |
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Mathematics of Microstructure Evolution: This Symposium was Held During ... Long-Qing Chen No preview available - 1996 |
Common terms and phrases
Acta Metall alloy anisotropy approximation atoms Austenite Cahn-Hilliard equation calculations chemical potential cluster coarsening coefficients components composition constant constraint continuum correlation crystal curve defined dendritic density dependence diffusion dimensional domain dynamic Ising model edge energy Edited by L. Q. elastic ensemble equilibrium shape Evolver experimental field Figure free energy Fultz function grain boundary grain growth interaction interface interfacial energy Ising model J. A. Simmons J. E. Morral J. W. Cahn kinetic L. Q. Chen lattice linear Martensite Master Equation Mathematics of Microstructure matrix mean curvature method microstructure minimizing misfit motion nonlinear nucleation obtained order parameter phase diagram phase separation phase transformation phase transitions Phys PMSM probability problem pseudo-binary quadrijunctions second phase particles Simmons The Minerals simulations solid solution spinodal decomposition stable strain structure surface susceptor symmetry temperature theory thermodynamic transition two-dimensional two-phase vector Zener pinning zero