# One-dimensional dislocations - III. Influence of the second harmonic term in the potential representation, on the properties of the model

@article{Frank1949OnedimensionalD, title={One-dimensional dislocations - III. Influence of the second harmonic term in the potential representation, on the properties of the model}, author={F. Frank and J. H. van der Merwe}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, year={1949}, volume={200}, pages={125 - 134} }

In the previous one-dimensional dislocation model, a single sinusoidal term was taken to represent the potential energy of the deposit as a function of its position on the substrate. In this model a more general representation of the potential, containing a second harmonic term as well, is used, and it is shown that the solution in this case is also expressible in terms of elliptic integrals. The displacements corresponding to a sequence of dislocations (or a single one) are calculated. The… Expand

#### Figures from this paper

#### 125 Citations

The energy of finite systems of misfit dislocations in epitaxial strained layers

- Materials Science
- 1992

A model for the distribution of misfit dislocations near epitaxial layer interfaces

- Materials Science
- 1995

Dissociated V-shaped dislocation model for the relaxation of strained single heterostructures

- Materials Science
- 1998

Anisotropic elasticity study of the critical thickness of an epilayer on a substrate with different elastic constants

- Materials Science, Physics
- 1995