A Model of Discontinuous Dynamic Recrystallization and its Application for Nickel Alloys

Abstract

A simple mesoscale model was developed for discontinuous dynamic recrystallization. The material is described on a grain scale as a set of (variable) spherical grains. Each grain is characterized by two internal variables: its diameter and dislocation density (assumed homogeneous within the grain). Each grain is then considered in turn as an inclusion, embedded in a homogeneous equivalent matrix, the properties of which are obtained by averaging over all the grains. The model includes: (1) a grain boundary migration equation driving the evolution of grain size via the mobility of grain boundaries, which is coupled with (2) a dislocation-density evolution equation, such as the Yoshie-Laasraoui-Jonas or Kocks-Mecking relationship, involving strain hardening and dynamic recovery, and (3) an equation governing the total number of grains in the system due to the nucleation of new grains. The model can be used to predict transient and steady-state flow stresses, recrystallized fractions, and grain-size distributions. A method to fit the model coefficients is also described. The application of the model to pure Ni is presented.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2009
Accession Number
ADA502625

Entities

People

  • David Piot
  • Frank Montheillet
  • Gilles Damamme
  • Sheldon Lee Semiatin

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Alloys
  • Boundaries
  • Diameters
  • Dislocations
  • Equations
  • Grain Boundaries
  • Grain Size
  • Hardening
  • Materials
  • Materials Science
  • Metals
  • Nickel
  • Nickel Alloys
  • Steady State
  • Strain Hardening

Fields of Study

  • Materials science

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Powder metallurgy of Titanium alloys.