摘要
The elastic displacement and stress fields due to a polygonal dislocation within an anisotropic homogeneous half-space are studied in this paper. Simple line integrals from 0 to for the elastic fields are derived by applying the point-force Green's functions in the corresponding half-space. Notably, the geometry of the polygonal dislocation is included entirely in the integrand easing integration for any arbitrarily shaped dislocation. We apply the proposed method to a hexagonal shaped dislocation loop with Burgers vector along 1 1 0 lying on the crystallographic (1 1 1) slip plane within a half-space of a copper crystal. It is demonstrated numerically that the displacement jump condition on the dislocation loop surface and the traction-free condition on the surface of the half-space are both satisfied. On the free surface of the half-space, it is shown that the distributions of the hydrostatic stress (σ 11- σ 22)/2 and pseudohydrostatic displacement (u 1 u 2)/2 are both anti-symmetric, while the biaxial stress ( 11- 22)/2 and pseudobiaxial displacement (u 1-u 2)/2 are both symmetric.
原文 | English |
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文章編號 | 021011 |
期刊 | Journal of Applied Mechanics, Transactions ASME |
卷 | 79 |
發行號 | 2 |
DOIs | |
出版狀態 | Published - 2012 |