Elastic Displacement and Stress Fields Induced by a Dislocation of Polygonal Shape in an Anisotropic Elastic Half-Space

H. J. Chu, E. Pan*, J. Wang, I. J. Beyerlein

*此作品的通信作者

研究成果: Article同行評審

17 引文 斯高帕斯(Scopus)

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
文章編號021011
期刊Journal of Applied Mechanics, Transactions ASME
79
發行號2
DOIs
出版狀態Published - 2012

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