Skip to main content
Log in

Single crystal cleavage of brittle materials

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Cleavage of brittle single crystals is reviewed and the historical criteria for the phenomenon are critically examined. Previously proposed criteria, including those based on crystal structure (crystal growth planes, the planes bounding the unit cell, and planar atomic packing) and crystal properties (ionic charge of possible cleavage planes, bond density, elastic modulus, and surface free energy), are found to be applicable only to particular crystals or to isostructural groups, but each lacks universal application. It is concluded that the fracture toughness (K Ic) of the crystallographic planes is the most appropriate criterion. Measurements reveal that the ‘cleavage toughnesses’ of brittle single crystals are usually about 1 MPa m1/2 or less.

Measurements of the fracture toughnesses of brittle polycrystalline aggregates are then compared to the single crystal cleavage values in those instances where reliable results are available for the same crystal structures. Polycrystalline toughnesses are consistently higher, in part because of the lack of continuity of cleavage cracks through the polycrystalline aggregates. However, the increment of toughness increase is only 1–2 MPa m1/2. The role of grain texture or preferred crystal orientation is also addressed. It is concluded that polycrystalline aggregate toughnesses are often highly anisotropic and that the values for intensely oriented microstructures may approach those for single crystal cleavage.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C.A. Sorrell,Minerals of the World, Golden Press, New York (1974) 52.

    Google Scholar 

  2. W.C. Roberts, G.R. Rapp, Jr. and J. Weber,Encyclopedia of Minerals, Van Nostrand, New York (1974).

    Google Scholar 

  3. L.B. Berry and B. Mason,Mineralogy, Freeman, San Francisco (1959).

    Google Scholar 

  4. K. Frye,Encyclopedia of Mineralogy, Hutchinson Ross, Stroudsburg, Penn. (1981).

    Google Scholar 

  5. W.D. Deer, R.A. Howie and J. Zussman,Rock Forming Minerals, Vol. 1, Wiley, New York (1962).

    Google Scholar 

  6. M. Fleischer and J.A. Mandarino,Glossary of Mineral Species 1991, Mineralogical Record, Inc., Tucson, Arizona (1991).

    Google Scholar 

  7. C.D. Gribble,Rutley's Elements of Mineralogy (27th ed.), Unwin Hyman, Boston (1988).

    Google Scholar 

  8. J. Sinkankas,Gemstone and Mineral Data Book, Winchester, New York (1972).

  9. C.S. Hurlbut, Jr. and R.C. Kammerling,Gemology (2nd ed.), Wiley, New York (1991).

    Google Scholar 

  10. G.E. Dieter,Mechanical Metallurgy, McGraw-Hill, New York (1986) 250–251.

    Google Scholar 

  11. I. LeMay,Principles of Mechanical Metallurgy, Elsevier, New York (1981) 217–218.

    Google Scholar 

  12. M.A. Meyers and K.K. Chawla,Mechanical Metallurgy, Prentice-Hall, Englewood Cliffs, NJ (1984) 149–152.

    Google Scholar 

  13. T.N. Courtney,Mechanical Behavior of Materials (1990) 386–440.

  14. V.D. Fréchette, inAdvances in Ceramics, Vol. 28, American Ceramic Society, Westerville, Ohio (1990) 71–76.

    Google Scholar 

  15. M. Sakai and R.C. Bradt,International Materials Reviews 38 (1993) 53–78.

    Google Scholar 

  16. M.V. Swain, B.R. Lawn and S.J. Burns,Journal of Materials Science 9 (1974) 175–183.

    Google Scholar 

  17. D. Broek,Elementary Engineering Fracture Mechanics (4th ed.) Martinus Nijhoff, Boston (1986).

    Google Scholar 

  18. B.R. Kulander and S.L. Dean, inProceedings of the International Symposium on Fundamentals of Rock Joints, Centek, Sweden (1985) 85–94.

    Google Scholar 

  19. J.E. Field,Contemporary Physics 12 (1971) 1–31.

    Google Scholar 

  20. J.J. Gilman, inFracture, Wiley, New York (1959) 193–222.

    Google Scholar 

  21. B.K. Atkinson (ed.),Fracture Mechanics of Rock, Academic, New York (1987).

  22. E.J.W. Whittaker,Mineralogical Magazine 46 (1982) 398–399.

    Google Scholar 

  23. O. Vingsbo,Materials Science and Engineering 8 (1971) 32–40.

    Google Scholar 

  24. J.Å. Schweitz and O. Vingsbo,Materials Science and Engineering 8 (1971) 275–283.

    Google Scholar 

  25. R.K. Mishra and G. Thomas,Journal of Applied Physics 48 (1977) 4576–4580.

    Google Scholar 

  26. B.R. Lawn and T.R. Wilshaw,Fracture of Brittle Solids, Cambridge University Press, New York (1975) 57, 82.

    Google Scholar 

  27. R.W. Hertzberg,Deformation and Fracture Mechanics of Engineering Materials, Wiley, New York (1986) 257.

    Google Scholar 

  28. M.F. Kanninen and C.H. Popelar,Advanced Fracture Mechanics, Oxford University Press, New York (1985).

    Google Scholar 

  29. K. Hayashi, M. Namura and T. Nishikawa,Journal of Materials Science of Japan 35 (1986) 66–72.

    Google Scholar 

  30. K. Hayashi, M. Ashizuka, R.C. Bradt and H. Hirano,Materials Letters 1 (1982) 116–118.

    Google Scholar 

  31. C.P. Chen and M.H. Leipold,Bulletin of the American Ceramic Society 59 (1980) 469–472.

    Google Scholar 

  32. R.L. Stewart and R.C. Bradt,Journal of Materials Science 15 (1980) 67–72.

    Google Scholar 

  33. B.K. Atkinson and P.G. Meredith, inFracture Mechanics of Rock, Academic, New York (1987) 477–525.

    Google Scholar 

  34. G.A. Wolff and J.D. Broder,American Mineralogist 45 (1960) 1230–1242.

    Google Scholar 

  35. M. Sakai, R.C. Bradt and D.B. Fischbach,Journal of Materials Science 21 (1986) 1491–1501.

    Google Scholar 

  36. R.F. Cook, T.R. Dinger and D.R. Clarke,Applied Physics Letters 51 (1987) 454–456.

    Google Scholar 

  37. H.W. Liu and K.J. Miller,Journal of Glaciology 22 (1979) 135–143.

    Google Scholar 

  38. K.T. Wan, N. Aimard, S. Lathabac, R.G. Horn and B.R. Lawn,Journal of Materials Research 5 (1990) 172–182.

    Google Scholar 

  39. J.W. Obriemoff,Proceedings of the Royal Society of London 127A (1930) 290–297.

    Google Scholar 

  40. H. Li, M. Jensen and R.C. Bradt,Journal of Materials Science 27 (1992) 1357–1360.

    Google Scholar 

  41. A.V. Milovsky and O.V. Kononov,Mineralogy, Mir Publishers, Moscow (1985) 214.

    Google Scholar 

  42. S.W. Freiman, P.F. Becher and P.H. Klein,Philosophical Magazine 31 (1975) 829–837.

    Google Scholar 

  43. C.N. Ahlquist,Acta Metallurgica 22 (1974) 1133–1137.

    Google Scholar 

  44. B.K. Atkinson and V. Avdis,International Journal of Rock Mechanics Mining Sciences & Geomechanics Abstracts 17 (1980) 383–386.

    Google Scholar 

  45. A.T. Santhanam and Y.P. Gupta,International Journal of Rock Mechanics Mining Sciences 5 (1968) 253–258.

    Google Scholar 

  46. P.F. Becher and S.W. Freiman,Journal of Applied Physics 49 (1978) 3779–3783.

    Google Scholar 

  47. J.E. Field and C.J. Freeman,Philosophical Magazine 43 (1981) 595–618.

    Google Scholar 

  48. N.V. Novikov and S.N. Dub,Journal of Hard Materials 2 (1991) 3–11.

    Google Scholar 

  49. M.O. Guillou, G.M. Carter, R.M. Hooper and J.L. Henshel,Journal of Hard Materials 1 (1990) 65–78.

    Google Scholar 

  50. A. Pajares, F. Guibearteau, A. Domiguez-Rodriguez and A.H. Heuer,Journal of the American Ceramic Society 71 (1988) C332-C333.

    Google Scholar 

  51. R.P. Ingal, D. Lewis, B.A. Bender and R.W. Rice,Journal of the American Ceramic Society 65 (1982) C150-C152.

    Google Scholar 

  52. F.O. Bloss and G.V. Gibbs,American Mineralogist 48 (1963) 821–838.

    Google Scholar 

  53. M. Iwasa and R.C. Bradt,Materials Research Bulletin 22 (1987) 1241–1248.

    Google Scholar 

  54. B.K. Atkinson,Pure and Applied Geophysics 117 (1979) 1011–1024.

    Google Scholar 

  55. P.G. Meredith and B.K. Atkinson,Earthquake Prediction Research 1 (1982) 377–391.

    Google Scholar 

  56. W.F. Brace and J.B. Walsh,American Mineralogist 47 (1962) 1111–1122.

    Google Scholar 

  57. R.J. MartinIII and W.B. Durham,Journal of Geophysical Research 80 (1975) 4837–4844.

    Google Scholar 

  58. A. Ball and B.W. Payne,Journal of Materials Science 11 (1976) 731–740.

    Google Scholar 

  59. M. Iwasa and R.C. Bradt, inAdvances in Ceramics, Vol. 10, American Ceramic Society (1983) 767–779.

  60. R.C. Bradt and W.D. Scott, inAlumina, American Ceramic Society (1990) 23–39.

  61. J.L. Wood, R.C. Bradt and P.L. Walker, Jr.,Carbon 18 (1980) 169–178.

    Google Scholar 

  62. R.L. Stewart and R.C. Bradt,Journal of the American Ceramic Society 63 (1980) 619–623.

    Google Scholar 

  63. M. Sakai, R.C. Bradt and A.S. Kobayashi,Nippon Seramikkusu Ronbunshi 96 (1988) 525–531.

    Google Scholar 

  64. A. Ghosh, K.W. White, M.G. Jenkins, A.S. Kobayashi and R.C. Bradt,Journal of the American Ceramic Society 74 (1991) 1624–1630.

    Google Scholar 

  65. R.L. Stewart, M. Iwasa and R.C. Bradt,Journal of the American Ceramic Society 64 (1981) C22.

    Google Scholar 

  66. B.K. Atkinson,Tectonophysics 65 (1980) 281–290.

    Google Scholar 

  67. P.G. Meredith, B.K. Atkinson and N.B. Hillman, inExperimental Petrology, 5th report, National Environmental Research Council, Swindon, Britain, Publication D.18.1981 (1981) 297–298.

    Google Scholar 

  68. C.F. Scrudato, Effect of Heat Treatment on the Microstructure and Fracture Toughness of Arkansas Novaculite, Masters thesis, Pennsylvania State University, University Park, Pennsylvania (1986).

  69. B.K. Atkinson,Journal of Geophysical Research 89 (1984) 4077–4114.

    Google Scholar 

  70. D.L. Schnidler, J.W. Hatch, C.A. Hay and R.C. Bradt,American Antiquity 47 (1982) 526–544.

    Google Scholar 

  71. G.H. Beall,Journal of Non-Crystalline Solids 129 (1991) 163–173.

    Google Scholar 

  72. R.C. Bradt, R.E. Newnham and J.V. Biggers,American Mineralogist 58 (1973) 727–732.

    Google Scholar 

  73. F. Rummel and W. Müller, Bruchmechanische Untersuchungen fur Salzgestein in der Schachtanlage Asse II. 1. Ber. zum GSF-Auftrag, Best. Nr. 31/139081/83 (1984).

  74. J.A. Salem, J.L. Shannon, Jr. and R.C. Bradt,Journal of the American Ceramic Society 72 (1989) 20–27.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schultz, R.A., Jensen, M.C. & Bradt, R.C. Single crystal cleavage of brittle materials. Int J Fract 65, 291–312 (1994). https://doi.org/10.1007/BF00012370

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00012370

Keywords

Navigation