Coarsening of elastically interacting coherent particles--I. Theoretical formulation

Journal Article · Fri Jan 01 04:00:00 EST 1993 · Acta Metallurgica et Materialia; (United States)

DOI:https://doi.org/10.1016/0956-7151(93)90335-P· OSTI ID:6467014

Abinandanan, T A; Johnson, W C ^[1]

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1. Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Materials Science and Engineering

The problem of Ostwald ripening in binary systems possessing a nonzero volume fraction of elastically and diffusionally interacting particles is examined. Under the assumption that the partial molar volumes of the two components are equal, the elastic and diffusion field equations decouple. This leads to a formulation of the coarsening problem which requires a solution of a multiparticle diffusion problem. The elastic stresses are incorporated into this formulation through the diffusional boundary conditions. The concentration in the matrix phase at the particle-matrix interface is obtained from the assumption of local thermodynamic equilibrium. Assuming particle sphericity, the multiparticle diffusion problem is solved under a quasistatic approximation using the method of irreducible multipole tensors. Instantaneous radial growth rates and migration rates of the particles are obtained which, in conjunction with a simple time-integration procedure, can be used to simulate coarsening in either stressed or unstressed systems.

• DOE Contract Number: FG02-84ER45166
• OSTI ID: 6467014
• Journal Information: Acta Metallurgica et Materialia; (United States), Journal Name: Acta Metallurgica et Materialia; (United States) Vol. 41:1; ISSN 0956-7151; ISSN AMATEB
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
ALLOY SYSTEMS
ALLOYS
BINARY ALLOY SYSTEMS
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
DIFFUSION
ELASTICITY
EQUILIBRIUM
EVALUATION
HEAT RESISTANT MATERIALS
HEAT RESISTING ALLOYS
INTERFACES
KINETICS
LTE
MATERIALS
MECHANICAL PROPERTIES
MICROSTRUCTURE
STRESSES
TENSILE PROPERTIES