Physical Review Letters · 1993 · 952 citations · 18 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsMechanical Behavior Of MaterialsSolid State PhysicsCrystallization ProcessesDeformation MechanismsDislocation MechanicsMetastable PhasesMolecular DynamicsCrystal Structure MetastabilityFinite Deformation MechanicsFinite Deformation TheoryPhysical Stability CriteriaStiffnessStrain RelationsStress-strain RelationsStructural Instability
It is demonstrated that stability criteria derived using elastic stiffness coefficients which govern stress-strain relations at finite deformation give quantitative predictions of crystal instability, as observed in direct molecular dynamics simulations. With the aid of such analysis we show that instabilities can be triggered in succession; as a consequence, the limit of metastability in the superheating of a defect-free crystal can be predicted.
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Dynamical Theory of Crystal Lattices
Max Born, Kun Huang, M. Lax · American Journal of Physics · 1955 · 10.6K citations
Thermodynamics of Crystals and Melting
Max Born · The Journal of Chemical Physics · 1939 · 741 citations