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Mathematics and Mechanics of Solids
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Interfacial Wedge Disclination Dipole in a Hexagonal Bicrystal with Arbitrary In-Plane c-Axis Orientations

M. S. Wu

Division of Engineering Mechanics, School of Mechanical and Production Engineering, N3, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798

The stress field of a wedge disclination dipole located at the boundary of a hexagonal bicrystal is investigated under plane strain. The c-axes of the adjoining crystals are restricted to be in-plane but can otherwise be arbitrarily oriented. Exact closed-form solutions for the stress components, obtained by the method of continuous image dislocations, are of the form of the logarithm of the ratio of the functions of spatial coordinates and disclination and crystal parameters. Numerical results show that the characteristics of the stress distribution depend significantly on the c-axis orientations. Also, the interfacial stress components, plotted as functions of the two c-axis orientations, possess extrema and saddle points. The occurrence of, and the stress magnitude associated with, the extrema and saddle points are dependent on the crystal elastic anisotropy and the bicrystal inhomogeneity.

Key Words: Disclination dipole • hexagonal bicrystal • c-axis orientation

Mathematics and Mechanics of Solids, Vol. 7, No. 5, 541-567 (2002)
DOI: 10.1177/108128650200700505
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K. Zhou and M. S. Wu
Exact Solutions for Periodic Interfacial Wedge Disclination Dipoles in a Hexagonal Bicrystal
Mathematics and Mechanics of Solids, August 1, 2006; 11(4): 337 - 360.
[Abstract] [PDF]