Letter | Published:

The impossibility of comminuting small particles by compression

Nature volume 272, pages 710711 (20 April 1978) | Download Citation

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Abstract

COMMINUTION and crushing are important processes designed to break large particles into smaller ones by compression. Under such compression, cracks can propagate through a particle to split it into two or more fragments of smaller size and increase surface area if the material is sufficiently brittle. The appreciation of brittleness as applied to solids under compression is, therefore, basic to an understanding of comminution. This note analyses the brittleness of an ideally shaped particle subjected to compressive forces. New equations, based on the old ideas of Rittinger1 and Griffith2 are presented to explain the fracture of such a particle and these are verified by experiments on a model material, specially chosen to demonstrate the effects at the macro-level. The equations state explicitly that compressed brittle particles should increase in strength as they are made smaller, a fact well known from macroscopic fracture results. In addition, the equations predict a critical particle size, verified by experiment, below which crack propagation is impossible under compressive forces. Bodies smaller than this appear ductile and are squashed flat when attempts are made to comminute them by crushing.

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References

  1. 1.

    Lehrbuch der Aufbereitungs Kunde (Ernst and Korn, Berlin, 1867).

  2. 2.

    Phil. Trans. R. Soc. A221, 163 (1920).

  3. 3.

    History of strength of materials, 58 (McGraw-Hill, London, 1953).

  4. 4.

    & US Bur. Mines Bull. 303, 5 (1929).

  5. 5.

    Virginia Poly Tech. Inst. Eng Extension St. Ser. 112 44, 10 (1956).

  6. 6.

    Proc. phys. Soc. Lond. 71, 797 (1958).

  7. 7.

    Min. Congr. J. 48, 325 (1962); 48, 466 (1962).

  8. 8.

    & Strength Fracture and Workability of Coal ch. 3 and 4 (London, Pergamon, 1966).

  9. 9.

    J. mater. Sci. 11, 1267 (1976).

  10. 10.

    Proc. R. Soc. (in the press).

  11. 11.

    Crushing and grinding ch. 1–5 (Butterworths, London 1974).

  12. 12.

    Chemy Ind. 611 (1968).

  13. 13.

    & Dechema Monog. 69 Pt 1, 167 (Dechema, Frankfurt, 1972).

  14. 14.

    Proc. Conf. Ultrafine Structure of Coals and Cokes, 336 (BCURA, London, 1943).

  15. 15.

    Br. J. appl. Phys. 7, 159 (1956).

  16. 16.

    Br. J. appl. Phys. 18, 233 (1967).

  17. 17.

    , & Proc. phys. Soc. B68, 723 (1955).

  18. 18.

    Proc. natn. Acad. Sci. U.S.A. 40, 394 (1954).

  19. 19.

    & Mechanical Behaviour of Materials 495 (Addison Wesley, Reading USA, 1966).

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Affiliations

  1. ICI Research and Development, The Heath, Runcorn, Cheshire, UK

    • K. KENDALL

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DOI

https://doi.org/10.1038/272710a0

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