Abstract
There is an extensive literature devoted to crystal lattice dislocations and to the continuum theory of dislocations based on the local theory of elasticity. The purpose of this chapter is to consider the theory of dislocations on an intermediate level—in the scope of non-local elasticity. The main focus is on the specific non-local effects which cannot be described in principle in the local elasticity.
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References
J. Friedel: Les Dislocations ( Gauthier-Villars, Paris 1956 )
E. Kröner: Kontinuumstheorie der Versetzungen und Eigenspannungen, (Springer, Berlin, Göttingen, Heidelberg 1958 )
I.A. Kunin: Fields due to arbitrary distributions of dislocations in an anisotropic elastic medium. J. Appl. Mech. Tech. Phys. 6, 76 (1955)
I.A. Kunin: “Methods of tensor analysis in the theory of dislocations”. A supplement to the Russian translation of J.A. Schouten. Tensor Analysis for Physicists (Nauka, Moscow 1965 ), pp. 374–443. (The supplement is available in English from the U.S. Department of Commerce, Clearing house for Federal Sci. and Techn. Information, Springfield, VA 22151 )
I.M. Gel’fand, G.E. Shilov: Generalized Functions ( Academic Press, New York 1964 )
A.D. Brailsford: Stress field of a dislocation. Phys. Rev. 142, 383–392 (1966)
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© 1983 Springer-Verlag Berlin Heidelberg
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Kunin, I.A. (1983). Dislocations. In: Elastic Media with Microstructure II. Springer Series in Solid-State Sciences, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81960-5_6
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DOI: https://doi.org/10.1007/978-3-642-81960-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81962-9
Online ISBN: 978-3-642-81960-5
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