Elasticity theory of a thin bicrystal distorted by an interfacial dislocation array parallel to the free surfaces
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 51 (1) , 51-58
- https://doi.org/10.1080/01418618508245268
Abstract
Arrays of intrinsic and extrinsic boundary dislocations located along the boundary parallel to the free surfaces of a bicrystalline foil are treated using anisotropic elasticity theory. The dislocations are equispaced along the boundary, and their elastic fields interact with the free surfaces. The problem is solved by using a method proposed previously by the author (Bonnet 1981) for periodic elastic fields. It is reduced to the inversion of a 24 × 24 array of linear equations; if one crystal is thick (semi-infinite), this array reduces to 18°18. The stability of the arrays of dislocations is discussed, and the elastic energy stored in a foil containing an array of intrinsic boundary dislocations is calculated.Keywords
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