Journal ArticleDOI
LXXXII. Edge dislocations in anisotropic materials
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In this paper, the authors considered dislocations of edge type with an infinite straight line as axis, but apply to a material with the symmetry of any of the crystal classes, where the axis of the dislocation may be arbitrarily inclined to the symmetry axes of the material.Abstract:
Burgers has discussed dislocations in materials with cubic symmetry for the general case in which the dislocation axis is an arbitrary curve. The results of the present paper are limited to dislocations of edge type with an infinite straight line as axis, but apply to a material with the symmetry of any of the crystal classes. The axis of the dislocation may be arbitrarily inclined to the symmetry axes of the material. Expressions are given for the elastic displacements and the energy of the dislocation. Nabarro's calculation of the width of a dislocation is extended to the anisotropic case.read more
Citations
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Slip, twinning, and fracture in hexagonal close-packed metals
TL;DR: The role of deformation twinning in fracture of hexagonal close-packed metals is reviewed from a theoretical point of view in this paper, where strength and ductility are correlated with the intrinsic physical and metallurgical variables.
Journal ArticleDOI
The force on an elastic singularity
TL;DR: In this paper, a general theory of the forces on singularities in a Hookean elastic continuum is developed, where the singularity is taken to be any state of internal stress satisfying the equilibrium equations but not the compatibility conditions.
Journal ArticleDOI
XLI. The equilibrium of linear arrays of dislocations.
TL;DR: In this article, a method for finding the equilibrium positions of a set of like dislocations in a common slip-plane under the influence of a given applied stress is given by the roots of a certain set of orthogonal polynomials.
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.
References
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BookDOI
Kristallplastizität mit besonderer Berücksichtigung der Metalle
Erich Schmid,Dr.-Ing. W. Boas +1 more
Journal ArticleDOI
On the Dislocation Theory of Plastic Deformation
TL;DR: In this article, a detailed study has been made of the lattice imperfections which are assumed to account for plastic deformation, and it is shown that about twice as much energy is required to produce a certain amount of slip inside a solid as is required at the surface.
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The influence of elastic strain on the shape of particles segregating in an alloy
TL;DR: In this article, an estimate of the way in which the strain energy associated with a particle of precipitate depends upon the shape of the particle is given, and it is shown that the energy can only be reduced if the precipitate forms in flat plates, and then only in the case of particles which have broken away from the lattice of the matrix.
Journal ArticleDOI
A note on certain stress distributions in isotropic and aeolotropic materials
TL;DR: In this article, a complex variable method of solution for problems of stress distributions in an elastic medium bounded by a plane face was given, although he only made applications to problems in which the force system was applied to the plane face.