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U.S. Department of Energy
Office of Scientific and Technical Information

Cumulative distribution functions associated with particle-coarsening processes

Technical Report ·
OSTI ID:6464608
Cumulative probability distributions have been derived for the diffusion-controlled coarsening of spherical precipitates, grain-boundary precipitates, and fibers in unidirectionally solidified eutectic alloys. The effect of the volume fraction of particles, phi, is included in the derivations. In all cases the cumulative distribution functions are expressed analytically for the limiting cases phi = 0 and phi = 1. It is shown that the cumulative distributions for interface-reaction-controlled and diffusion-controlled coarsening of spherical precipitates when phi = 1 are identical. Some of the advantages and implications of the calculations are discussed.
Research Organization:
California Univ., Los Angeles (USA). School of Engineering and Applied Science
DOE Contract Number:
AT03-76ER70172
OSTI ID:
6464608
Report Number(s):
UCLA-34P172-6; ON: DE81027378
Country of Publication:
United States
Language:
English