Abstract
Knoop hardness measurements have been carried out as a function of azimuthal angle and temperature (in the range 20°–440°C) on {001} faces of n-type, p-type, and intrinsic Ge and GaAs. The degree of hardness anisotropy shown increases with increasing temperature and for Ge is undetectable below a certain temperature which depends on doping. In GaAs, asymmetry in hardness between [110] and [110] directions was found at high temperatures. A new model of hardness anisotropy has been developed, based on detailed modeling of the plastic zone. This relates the hardness to the degree of workhardening in different regions of the plastic zone. Using this model, detailed explanations are given of the hardness anisotropy behavior and of the plastic recovery around indentations.
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References
C. A. Brookes, J. B. O’Neill, and B. A. W. Redfern, Proc. R. Soc. London, Ser. A 322, 73 (1971).
F. W. Daniels and C. G. Dunn, Trans. Am. Soc. Metals 41, 419 (1949).
C. Feng and C. Elbaum, Trans. AIME 212, 47 (1958).
M. Garfinkle and R. G. Garlick, Trans. AIME 242, 809 (1968).
G. A. Sawyer, P. M. Sargent, and T. F. Page, J. Mater. Sci. 15, 1001 (1978).
R. H. J. Hanninck, D. L. Kohlstedt, and M. J. Murray, Proc. R. Soc. London, Ser. A 326, 409 (1972).
D. J. Rowcliffe and G. E. Hollox, J. Mater. Sci. 6, 1270 (1971).
P. B. Hirsch, P. Pirouz, S. G. Roberts, and P. D. Warren, Philos. Mag. 52 B, 761 (1985).
J. R. Patel and A. R. Chaudhuri, Phys. Rev. 143, 601 (1966).
S. K. Choi, M. Mihara, and T. Ninomiya, Jpn. J. Appl. Phys. 16, 737 (1977).
S. G. Roberts, P. Pirouz, and P. B. Hirsch, J. Phys. (Paris) 44, C4–75 (1983).
S. G. Roberts, P. Pirouz, and P. B. Hirsch, J. Mater. Sci. 20, 1739 (1985).
P. D. Warren, P. Pirouz, and S. G. Roberts, Philos. Mag. 50 A, L23 (1984).
J. R. Patel and P. E. Freeland, Phys. Rev. Lett. 18, 833 (1977).
A. George and G. Champier, Phys. Stat. Sol. 53a, 52 (1979).
P. Pirouz and P. E. Freeland (unpublished work).
P. Haasen, Acta Metall. 5, 598 (1957).
Introduction to the Proceedings of the Conference on Dislocations in Tetrahedrally Coordinated Semiconductors, Hünfeld/Fulda, F. R. G., September 1978, J. Phys. (Paris) 40, Colloque C6 (1979).
T. Ninomiya, J. Phys. (Paris) 40, C6–143 (1979).
J. Rabier, P. Veysierre, and J. L. Demenet, J. Phys. (Paris) 44, C4–243 (1983).
J. T. Hagan, J. Mater. Sci. 15, 1417 (1980).
A. Nadai, Plasticity (McGraw-Hill, New York, 1931), p. 247.
J. Kent, M. Sc. thesis, University of Bristol, 1975.
D. M. Marsh, Proc. R. Soc. London, Ser. A 279, 420 (1964).
E. H. Yoffe, Philos. Mag. 46 A, 617 (1982).
S. G. Roberts and P. Pirouz, in Microstructural Science, edited by S. A. Shiels, C. Bagnall, R. E. Wirkowski, and G. F. Vander Voort (American Society for Metals, Cleveland, OH, 1986), Vol. 13, p. 27.
D. Y. Watts and A. F. W. Willoughby, J. Appl. Phys. 56, 1869 (1984).
C. A. Brookes, E. L. Morris, and B. Moxley, Proceedings of the Conference on Computational Techniques as an Aid in Physical Metallurgy, Leeds, U.K., 1971 (Iron and Steel Inst., London, 1971), p. 29.
D. F. Kyser and M. F. Millea, J. Electrochem. Soc. 111, 1102 (1964).
C. A. Brookes, in Properties of Diamond, edited by J. E. Field (Academic, London, 1979), p. 383.
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Roberts, S.G., Warren, P.D. & Hirsch, P.B. Knoop hardness anisotropy on {001} faces of germanium and gallium arsenide. Journal of Materials Research 1, 162–176 (1986). https://doi.org/10.1557/JMR.1986.0162
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DOI: https://doi.org/10.1557/JMR.1986.0162