Abstract
After a general formulation of the problem of a Volterra dislocation in a linear continuum with gradually varying elastic constants, the special case of a screw dislocation in a hollow non-homogeneous cylinder is treated. For the shear modulusG with the dependence on polar coordinatesr, ϕ in the formG=F(r) Φ(ϕ), a simple analytic solution is found. For comparison, a solution for a screw dislocation in a cylinder with analogous discontinuous changes of G is also constructed. The effect on a non-homogeneous distribution of impurities on the elastic energy of a screw dislocation is briefly discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dundurs J.,in Mathematical Theory of Dislocations (Editor J. Mura), ASME, New York 1969, p. 70.
Fleischer R. L., Acta Met.8 (1960), 598.
Wu T. T.,Nowinski J. L.,in Recent Advances in Engineering Science (Editor A. C. Eringen), Vol. 5, Part I, New York 1970, p. 283.
Nabarro F. R. N., Theory of Crystal Dislocations, Clarendon Press, Oxford 1967.
Kroupa F., The Fourth Conference of Czechoslovak Physicists, Liberec 1975, Academia, Praha 1976, p. 415.
Eshelby J. D., J. Appl. Phys.24 (1953), 176.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kroupa, F. Screw dislocation in a non-homogeneous medium. Czech J Phys 27, 1378–1384 (1977). https://doi.org/10.1007/BF01588767
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01588767