Seminar Series - 2000-2001

Disclinations in Transversely Isotropic Bicrystals

M. S. Wu
Professor, Department of Engineering Mechanics
University of Nebraska - Lincoln
Lincoln, NE  68588-0526

Date:  Tuesday, October 10, 2000
Time:  3:30 p.m.
Place:  W128 Nebraska Hall

Disclinations as rotational defects have been increasingly applied to many problems of engineering and physics. Some applications include biological structures, liquid crystals, structures of helical nanotubes, grain boundary structures, and plastic deformation and fracture in solids.

In this presentation, a transversely isotropic bicrystal/bimaterial with dissimilar crystallographic orientations/elastic constants is considered. The disclination dipole may be located anywhere in the solid, including at the interface. Exact solutions are constructed by means of image dislocation distributions. The mathematical treatment is to model the image distribution densities as Hilbert transforms of the stress and displacement gradient expressions for dipoles in homogeneous media. Through numerical experiments, a very complex influence of orientational and material inhomogeneities on the stress topography is discovered.  The results and implications of these numerical studies will be presented.


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