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The force on a screw dislocation due to a series of layers of alternating shear modulus

The force on a screw dislocation lying parallel to a series of interfaces separating materials of differing shear moduli is evaluated using the method of images. On the basis of this calculation, suitable materials systems that are able to repel dislocations by virtue of their larger elastic constants are suggested. By using such materials as components of strained-layer superlattices, it may be possible to divert dislocations into an interface using both the strain field and the difference in elastic constants. This work will have relevance for highly lattice-mismatched systems (e.g. GaAs-on-Si) in which 'dislocation filtering' is required.