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Contribution of grain boundary diffusion and capillarity forces to the diffusional creep of wires or fibers

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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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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

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