Journal ArticleDOI
Anisotropic elastic solutions for line defects in high‐symmetry cases
J.P. Hirth,J. Lothe +1 more
Reads0
Chats0
TLDR
The elastic fields of line force couples have been shown to be applicable to the description of dislocation core fields and the conventional anisotropic elastic theory of line defects is extended to include such couples.Abstract:
The elastic fields of line‐force couples have been shown to be applicable to the description of dislocation core fields. The conventional anisotropic elastic theory of line defects is extended to include such couples. Explicit results are presented for cases of high‐crystallographic symmetry for which the results can be expressed in simple analytical form.read more
Citations
More filters
Journal ArticleDOI
Flexible boundary conditions and nonlinear geometric effects in atomic dislocation modeling
TL;DR: In this article, a technique for applying flexible boundaries to an atomic region in computer simulation of dislocations or other line defects is described, which results in continuity of equilibrium, under the chosen interatomic potential, across the interface between the atomic region and the outer region described in terms of anisotropic elastic continuum solutions.
Journal ArticleDOI
Spacing defects and disconnections in grain boundaries
J.P. Hirth,R.C. Pond,Jens Lothe +2 more
TL;DR: In this article, the process of cutting a grain boundary by a gliding or climbing dislocation is considered and some planar dislocation arrays with long-range stress fields are also treated.
Journal ArticleDOI
Dislocation core field. I. Modeling in anisotropic linear elasticity theory
TL;DR: In this paper, the authors derived an expression of the elastic energy of a dislocation taking full account of its core field and showed that no cross term exists between the Volterra and the core fields.
Journal ArticleDOI
Dislocation core field. II. Screw dislocation in iron
TL;DR: In this paper, the dislocation core field, which comes in addition to the Volterra elastic field, is studied for the screw dislocation in anisotropic linear elasticity, and how dislocation properties are modified by this core field by studying the interaction between two dislocations composing a dipole.
Journal ArticleDOI
Elastic fields of line defects in a cracked body
John P. Hirth,Robert H. Wagoner +1 more
TL;DR: In this article, the elastic fields for line forces and dislocations in the vicinity of a crack tip and of a contained, double-ended planar crack are derived. And the corresponding stress intensity factors are listed.
References
More filters
Book
Theory of Dislocations
John Price Hirth,Jens Lothe +1 more
TL;DR: Dislocations in Isotropic Continua: Effects of Crystal Structure on Dislocations and Dislocation-Point-Defect Interactions at Finite temperatures.
Journal ArticleDOI
Dislocations and Cracks in Anisotropic Elasticity
TL;DR: In this paper, the authors considered the elastic equations for the case in which the state of the solid is independent of one of the three Cartesian coordinates, and the stresses due to a dislocation, a wall of parallel dislocations, and a crack in an arbitrary non-uniform stress field were obtained.
Journal ArticleDOI
Anisotropic elasticity with applications to dislocation theory
TL;DR: In this article, a general solution of the elastic equations for an arbitrary homogeneous anisotropic solid is found for the case where the elastic state is independent of one (say x3) of the three Cartesian coordinates x1, x2, x3.