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

1997/09/02 by Madan Rao, Rao, Madan, Surajit Sengupta +1
Engineering · Materials Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Magnetic Properties and Applications #Metallic Glasses and Amorphous Alloys #Shape Memory Alloy Transformations #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9709022

4 pages, REVTEX and 3 .eps figures, compressed and uuendcoded

arxiv created 1997/09/02 · openalex publication_date 1997/09/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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