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First Passage Times and Time-Temperature-Transformation curves for Martensites

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arxiv cond-mat/9709022 v1 pith:6OE3653Z submitted 1997-09-02 cond-mat

First Passage Times and Time-Temperature-Transformation curves for Martensites

Madan Rao (IMSc , Madras) , Surajit Sengupta (IGCAR , Kalpakkam) This is my paper
classification cond-mat
keywords martensitescurvesnucleationtime-temperature-transformationacrossathermalcalculatecycles
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Martensites are long-lived nonequilibrium structures produced following a quench across a solid state structural transition. In a recent paper (Phys. Rev. Lett. 78, 2168 (1997)), we had described a mode-coupling theory for the morphology and nucleation kinetics of the equilibrium ferrite phase and twinned martensites. Here we calculate nucleation rates within a first-passage time formalism, and derive the time-temperature-transformation (TTT) diagram of the ferrite-martensite system for athermal and isothermal martensites. Empirically obtained TTT curves are extensively used by metallurgists to design heat treatment cycles in real materials.

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