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The effect of precipitates on the evolution of a martensitic phase boundary
Author(s) -
Dondl Patrick W.,
Bhattacharya Kaushik
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701003
Subject(s) - quasistatic process , discretization , phase boundary , martensite , boundary (topology) , phase transition , slip (aerodynamics) , materials science , thermodynamics , mechanics , boundary value problem , kinetics , phase (matter) , condensed matter physics , mathematics , physics , metallurgy , mathematical analysis , classical mechanics , microstructure , quantum mechanics
In this article, we study the role of defects in the quasistatic evolution of a martensitic phase boundary. The formulation of the model gives rise to a nonlocal free boundary problem, for which we present an implicit finite‐time discretization. For an approximate model, assuming a nearly flat interface, we show that the phase boundary exhibits a sick‐slip behavior in the presence of a heterogeneous environment, thus leading to a transition from viscous kinetics to rate‐independent behavior. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)