• Corpus ID: 237513552

Self-interaction of an arbitrary moving dislocation

@inproceedings{Kazinski2021SelfinteractionOA,
  title={Self-interaction of an arbitrary moving dislocation},
  author={P. O. Kazinski and V. A. Ryakin and Andrei Sokolov},
  year={2021}
}
The action functional for a linear elastic medium with dislocations is given. The equations of motion following from this action reproduce the Peach-Köhler and Lorentzian forces experienced by dislocations. The explicit expressions for singular and finite parts of the self-force acting on a curved dislocation are derived in the framework of linear theory of elasticity of an isotropic medium. The velocity of dislocation is assumed to be arbitrary but less than the shear wave velocity. The… 

References

SHOWING 1-10 OF 49 REFERENCES
The self-force and effective mass of a generally accelerating dislocation I. Screw dislocation
The self-force and effective mass of a moving dislocation in a generally accelerating motion are explicitly obtained on the basis of a surface-independent dynamic J-integral. Logarithmic
The interaction of screw dislocations and sound waves
  • F. Nabarro
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1951
In Part I, Peierls’s model of a dislocation is adapted to dynamical problems by taking account of the inertia of the matter which in a continuum would lie between the two sheets of atoms defining the
On the nature of a Lorentzian force on a moving dislocation
Abstract A dislocation loop that moves with a non-zero velocity in a continuous elastic solid subject to time-dependent loads is subject to a ‘Lorentzian’ force that is linearly proportional to the
The self-force on a planar dislocation loop in an anisotropic linear-elastic medium
Abstract A proper prescription for the in-plane self-force on each element of a plane dislocation loop is developed by computing the first variation of the loop self-energy during an arbitrary
The velocity of a wave along a dislocation
Abstract The behaviour of a small-amplitude infinite standing or travelling sine wave on a dislocation is examined. For a certain range of frequencies and wavelengths no elastic energy is radiated,
Forces on high velocity dislocations
The motion of dislocations at velocities approaching the speed of sound is considered. An equation of motion with a velocity-dependent thermodynamic force is presented. An expression for the
Dislocation Burgers vector and the Peach–Koehler force: a review
  • V. Lubarda
  • Materials Science
    Journal of Materials Research and Technology
  • 2019
Abstract Different definitions of the Burgers vector and the corresponding construction of the Burgers circuit for dislocation loops and straight dislocations, created by the displacement
Dislocations faster than the speed of sound
  • Gumbsch, Gao
  • Materials Science, Medicine
    Science
  • 1999
TLDR
Atomistic simulations show that dislocations can move faster than the speed of sound if they are created as supersonic dislocation at a strong stress concentration and are subjected to high shear stresses.
Evolution equation of moving defects: dislocations and inclusions
Evolution equations, or equations of motion, of moving defects are the balance of the “driving forces”, in the presence of external loading. The “driving forces” are defined as the configurational
Dynamic dragging of dislocations
We analyze, classify, and compare the relative roles of different mechanisms of dislocation dragging, including elastic and inelastic scattering of acoustic and optical phonons by a moving
...
1
2
3
4
5
...