Abstract
In order to explain the mechanism of plastic deformation of a crystal in its most simple form, as it is presented by the shearing process due to slipping along planes of a definite crystallographic orientation, several authors have assumed that the basic phenomenon leading to slip is the migration through the lattice of a well defined type of deviation from the ideal structure, a so-called dislocation 1).
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References
Compare: “First Report on Viscosity and Plasticity” (Verhand. Kon. Nederl. Akad. v. Wetenschappen te Amsterdam, le sectie. XV, No. 3, 1935), p. 198 and the literature mentioned there; “Second Report on Viscosity and Plasticity” (ibidem, XVI, No. 4, 1938), p. 200. See also papers by A. Kochendörfer, Zeitschr. f. Physik 108, p. 244, 1938.
A. Kochendörfer Zeitschr. f. Metallkunde 30, p. 299, 1938.
G. I. Taylor, Proc. Roy. Soc. (London) A 145, p. 362, 1934.
For a further elucidation of these geometrical relationships the reader is referred to: A. E. H. LOVE, Treatise on the Mathematical Theory of Elasticity (Cambridge 1920), p. 218 seq., and to the paper by Volterra, mentioned in footnote 8) below.
G. I. Taylor, Proc. Roy. Soc. (London) A 145 p. 375.1934
See A. E. H. Love Chapter VI. and works on physical crystallography.1920), p. 218
See G. I. Taylor, Proc. Roy. Soc. (London) A 145 p. 377.1934
V. Volterra, Sur l’équilibre des corps élastiques multiplement connexes, Ann. Ecole Norm. Supér. (3) 24, p. 400, 1907
A. E. H. Love, Treatise on the Mathematical Theory of Elasticity— A report on various types of structural stresses in elastic systems has been given by P. Nemenyi (Selbstspannungen elastischer Gebilde. Zeitschr. f. angew. Math. u. Mech. 11. pp. 59–70, 1931).p. 218
A. E. H. Love, Treatise on the Mathematical Theory of Elasticity. p. 183, eqs. (11). As stated by Love at p. 181, these equations originally are due to W. Thomson.1920
See H. Lamb. Hydrodynamics (Cambridge. 1932). p. 212.
G. I. Taylor, Proc. Roy. Soc. (London) A 145 p. 400.
Compare e.g. E. Jahnke u. F. Emde. Funktionentafeln, 1st Ed. (Leipzig u. Berlin 1909), p. 11; 2nd Ed. (1933), p. 60.
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Burgers, J.M. (1995). Physics. — Some considerations on the fields of stress connected with dislocations in a regular crystal lattice. I. In: Nieuwstadt, F.T.M., Steketee, J.A. (eds) Selected Papers of J. M. Burgers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0195-0_11
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