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BALL 1 Department of Mathematics HeriotWatt University Edinburgh
Mechanical Analogs of Coexistent Phases
E CHATER 21 Division of Applied Sciences Harvard University Cambridge
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analysis approximation assume atoms balloon behavior Born rule calculus of variations capillarity Cauchy Cauchy's hypothesis configuration const constant Crystal Growth crystallographic cubic cylindrical defined deformation gradient dendritic denote density described dimensionless discussed displacement dynamic equilibrium Ericksen example exist Figure finite element method Flaherty free energy function given heat Hugoniot curve INSTABILITIES IN SOLIDS integral interface isothermal J.S. Langer lattice vectors Lemma Lyapunov function martensitic Mathematics Mechanics mesh minimizing neck propagation nonlinear parent phase partial differential equations phase boundaries PHASE TRANSFORMATIONS phase transitions Phys piecewise linear deformation plane positive pressure problem regions satisfy Sekerka Serrin shape shear band shock layer connection shown in Fig simple lattice singular solution Slemrod solidification fronts stability steady-state strain energy stress surface tension temperature Theorem theory thermal thermodynamic tion TRANSFORMATIONS AND MATERIAL undercooling uniaxial variants velocity viscosity Waals fluid wave