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The flow of a solid by viscous slip between elastic domains

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Summary

A mathematical investigation is presented of the plane strain viscoplastic flow of a polycrystalline solid, which deforms by slip along microscopic deformation banales. It is demonstrated that the shear angle obeys Laplaces equation and that over the range of strain rates corresponding to thermally activated flow the principal shear stress also remains harmonic. The equation governing the normal stress is also derived. A brief discussion follows concerning the domain of application of these equations.

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References

  1. Campbell, J. D.: Dynamic plasticity of metals, pp. 16. Wien-New York: Springer 1970.

    Google Scholar 

  2. Osmond, F., Fremont, Ch., Cartaud, G.: Les modes de deformation et de rupture des fers et des aciers doux. Revue Metall1 11–45 (1904).

    Google Scholar 

  3. Adcock, F.: The internal mechanism of cold-work and recrystallization in Cupro-Nickel. J. Inst.-Metals27, 73–92 (1922).

    Google Scholar 

  4. Hatherly, M.: Strength of metals and alloys, vol. 3, p. 1181 (Gifkins, R. C., ed.). Oxford: Pergamon press 1983.

    Google Scholar 

  5. Bish, R. L.: The flow of a polycrystalline solid by slip between elastic volume elements. Phil. Mag.56, 385–390 (1987).

    Google Scholar 

  6. Philips, A., Wu, H. C.: A theory of viscoplasticity. Int. J. Solids and Structures9, 15–30 (1973)

    Google Scholar 

  7. Perzyna, P.: The constitutive equations for rate-sensitive plastic materials. Quart. Appl. Math.20, 321–332 (1963).

    Google Scholar 

  8. Spain, B.: Vector analysis, pp. 38. D. van Nostrand 1965.

  9. Seeger, A.: Glide and work hardening in face-centered cubic and hexagonal close-packed metals. Dislocations and Mechanical Properties of Crystals, p. 243. Wiley 1957.

  10. Bish, R. L.: A method of revealing deformation in mild steel. Merallography11, 215–218 (1978).

    Google Scholar 

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  1. R. L. Bish

    Present address: Materials Research Laboratories, GPO Box 50, 3032, Ascot Vale, Victoria, Australia

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    1. R. L. Bish
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    Bish, R.L. The flow of a solid by viscous slip between elastic domains. Acta Mechanica 81, 39–45 (1990). https://doi.org/10.1007/BF01174553

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    • DOI: https://doi.org/10.1007/BF01174553

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