Metallurgical Transactions A

, Volume 16, Issue 3, pp 337–347 | Cite as

Equilibrium solute concentration surrounding elastically interacting precipitates

  • William C. Johnson
  • P. W. Voorhees


Elastically induced equilibrium solute concentration profiles surrounding a single isolated precipitate and two elastically interacting precipitates are determined under the conditions of an applied shear and tensile stress, as well as an isotropic stress-free transformation strain. The self consistent open-system elastic constants approach is employed to account explicitly for the coupling between the stress and concentration fields. Substantial concentration changes are predicted near the surfaces of the particles which can sometimes exceed 50 pct. With self consistency to first-order in the concentration change, no net solute enhancement is observed surrounding isolated particles while net solute segregation is observed for elastically interacting particles.


Metallurgical Transaction Surface Stress Solute Atom Transformation Strain Misfit Strain 
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Copyright information

© The Minerals, Metals & Materials Society - ASM International - The Materials Information Society 1985

Authors and Affiliations

  • William C. Johnson
    • 1
  • P. W. Voorhees
    • 2
  1. 1.Department of Metallurgical Engineering and Materials ScienceCarnegie-Mellon UniversityPittsburgh
  2. 2.Metallurgy DivisionNational Bureau of StandardsGaithersburg

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