Abstract
Herring’s analysis of the Newtonian creep of wires with a bamboo grain structure is modified to include the effects of grain boundary diffusion and capillarity. The grain boundary contribution depends on the ratio σD b/2DR v whereR is the wire radius,D b andD v are the boundary and volume diffusion coefficients, and σ is the width of the grain boundary. Capillarity is introduced in a consistent fashion into the analysis and the classical result for equilibrium between the applied load and capillarity forces is found. The creep rate of single crystal fibers embedded in a plastically deformed matrix is considered for some simple geometries.
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H. Udin, A. J. Shaler, and J. Wulff:Trans. AIME, 1949, vol. l8.
E.R. Funk, H.Udin, and J.Wulff:Trans. AIME, 1951, vol. 191, p.
C. Herring:J. Appl. Phys., 1950, vol. 21, p. 437.
R. L. Eadie, D. S. Wilkinson, and G. Weatherly:Acta Met., 1974, vol. 22, p. 1185.
G. F. Duff and D. Naylor:Differential Equations of Applied Mathematics, John Wiley, New York, 1966.
Y. G. Nakagawa and G. Weatherly:Met. Trans., 1972, vol. 3, p. 3223.
D. S. Wilkinson: M.A.Sc. Thesis, Univ. of Toronto, 1974.
J. D. Eshelby:Proc. Roy. Soc. London, 1957, vol. A241, p. 376.
K.Tanaka and T. Mori:Acta Met., 1970, vol. 18, p. 931.
D. W. Wilkinson and G. Weatherly: Dept. of Metallurgy and Materials Science, University of Toronto, Toronto, Canada, unpublished research.
W. W. Mullins:J. Appl. Phys., 1957, vol. 28, p. 333.
R. E. Hoffman and D. Turnbull:J. Appl. Phys., 1951, vol. 22, p. 634.
C.T. Tomizuka and E. Sonder:Phys. Rev., 1956, vol. 103, p. 1182.
B. Okkerse:Acta Met., 1954, vol. 2, p. 551.
N. H. Nachtrieb and G. S. Hardier:J. Chem. Phys., 1955, vol. 23, p. 1569.
K. G. Kreider and G. Bruggemann:Trans. TMS-AIME, 1967, vol. 239, p. 1222.
S. L. Robinson and O. D. Sherby:Acta Met., 1969, vol. 17, p. 109.
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Wilkinson, D.S., Weatherly, G.C. Contribution of grain boundary diffusion and capillarity forces to the diffusional creep of wires or fibers. Metall Trans A 6, 265 (1975). https://doi.org/10.1007/BF02667280
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DOI: https://doi.org/10.1007/BF02667280