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On the singularity of the leblond model for TRIP and its influence on numerical calculations

  • Modeling And Simulation
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Abstract

Transformation-induced plasticity (TRIP) in steel may be a cause of distortion of workpieces. Therefore, it is necessary to study this phenomenon to develop knowledge for the simulation of production processes (e.g., for heat treatment). The well-known Leblond model for TRIP becomes formally singular when the phase fraction p of the forming phase is zero. Usually, this singularity is avoided by changing the model via a cutoff procedure. This article addresses those conditions in which the singularity is formally removable and the output differences of the noncutoff and the cutoff models. Depending on the thresholds used for the cutoff functions, it turns out that the differences might be of an essential magnitude. Moreover, for constant temperature and stress, these differences turn up regardless of what phase transition law for p is used.

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  1. Zentrum für Technomathematik, FB3, Universität Bremen, PB330440, D28334, Brenen, Germany

    Michael Wolff & Michael Böhn

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  1. Michael Wolff
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  2. Michael Böhn
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Wolff, M., Böhn, M. On the singularity of the leblond model for TRIP and its influence on numerical calculations. J. of Materi Eng and Perform 14, 119–122 (2005). https://doi.org/10.1361/10599490522202

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  • DOI: https://doi.org/10.1361/10599490522202

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